 Research group
 EGSA  Differential Equations, Geometry, Control and Dynamical Systems, and Applications
 Department
 Department of Applied Mathematics I
 School
 Barcelona School of Industrial Engineering (ETSEIB)
 maria.isabel.garciaupc.edu
 Contact details
 UPC directory
 Orcid
 0000000174187208
 ResearcherID
 O24852014
 Scopus Author ID
 6701457446
Scientific and technological production


An integrated ePortfolio in linear algebra classes
Garcia Planas, Maria Isabel; Taberna Torres, Judit
Mahara Newsletter
Vol. 4, num. 4
Date of publication: 201501
Journal article
Read the abstract View Share Reference managersIn September 2014 we began a pilot project for the development of ePortfolios in a core mathematics subject for undergraduate students at the Universitat Politècnica de Catalunya. The aim of this pilot project is to create "integrated ePortfolios" in linear algebra classes using Mahara. That is to say an ePortfolio that makes use of a number of different ePortfolio techniques 
Sufficient conditions for controllability and observability of serial and parallel concatenated linear systems
Garcia Planas, Maria Isabel; Domínguez García, José Luis; Um, Laurence Emilie
International journal of circuits, systems and signal processing
Vol. 8, p. 622630
Date of publication: 20141130
Journal article
Read the abstract Access to the full text Share Reference managersThis paper deals with the sufficient conditions for controllability and observability characters of finitedimensional linear continuoustimeinvariant systems of serial and parallel concatenated systems. The obtained conditions depend on the controllability and observability of the systems and in some cases, the functional outputcontrollability of the first one. 
Functional outputcontrollability of timeinvariant singular linear systems
Garcia Planas, Maria Isabel; Tarragona Romero, Sonia
SemaSimai
Vol. 4, p. 169182
Date of publication: 20141011
Journal article
Read the abstract Access to the full text Share Reference managersIn the space of finitedimensional singular linear continuoustimeinvariant systems described in the form \begin{equation}\label{eq1}\left . \begin{array}{rl} E \dot x(t)&= Ax(t)+Bu(t)\\ y(t)&=Cx(t)\end{array}{\kern1mm}\right \}\end{equation} where $E,A\in M=M_{n}(\mathbb{C})$, $B\in M_{n\times m}(\mathbb{C})$, $C\in M_{p\times n}(\mathbb{C})$, functional outputcontrollability character is considered. A simple test based in the computation of the rank of a certain constant matrix that can be associated to the system is presented 
Multiagent linear dynamical systems, analyzing the consensus problem
Garcia Planas, Maria Isabel
International Conference on Mathematics and Computers in Sciences and in Industry
p. 3642
Presentation's date: 20140915
Presentation of work at congresses
Read the abstract Access to the full text Share Reference managersIn this paper the consensus problem is considered for multiagent systems having an independent agent and fixed topology. 
Using integral eportfolio to learn linear algebra
Garcia Planas, Maria Isabel; Taberna Torres, Judit
International Conference Mathematics and Computers in Sciences and Industry
p. 7579
Presentation's date: 20140914
Presentation of work at congresses
Read the abstract Access to the full text Share Reference managersThe use of eportfolio is becoming common in the learning and assessment of students. This is due to the need of teachers to enhance student autonomy making them to reflect on the process of learning. Lately, we have worked with different software, facilitating its generation and use. In this paper, the recent experience in the use of eportfolio for undergraduate students of the Universitat Polit`ecnica de Catalunya are set. 
Enumerating feedback classes of locally Brunovsky systems
Garcia Planas, Maria Isabel; Carriegos Vieira, Miguel; de Castro Garcia, Noemi; López Cabeceira, Montserrat
International Linear Algebra Society Conference
p. 88
Presentation's date: 20140808
Presentation of work at congresses
Read the abstract View Share Reference managersIt is well known that the feedback class of a locally Brunovsky linear system is fully determined by the decomposition of state space as direct sum of system invariants [M.V. Carriegos, Linear Algebra App, 438 (2013), 11321148]. In this talk we address the problem of enumerating all feedback classes of locally Brunovsky systems over a $n$dimensional state space and translate to the combinatorial problem of enumerating all the partitions of integer $n$ in some abelian semigroup. 
Disturbance decoupling problems for switched linear systems. A geometric approach
Garcia Planas, Maria Isabel
International Linear Algebra Society Conference
p. 83
Presentation's date: 20140807
Presentation of work at congresses
Read the abstract View Share Reference managersIn this paper disturbance decoupling problem for switched linear systems are formulated under a geometrical point of view. Necessary and sufficient conditions for the problem with standardizable condition to be solvable are given. 
Modelling of a clampedpinned pipeline conveying fluid for vibrational stability analysis
Mediano Valiente, Begoña; Garcia Planas, Maria Isabel
Cybernetics and physics
Vol. 3, num. 1, p. 2837
Date of publication: 201408
Journal article
Read the abstract Access to the full text Share Reference managersRecent developments in materials and cost reduction have led the study of the vibrational stability of pipelines conveying fluid to be an important issue. Nowadays, this analysis is done both by means of simulation with specialized softwares and by laboratory testing of the preferred materials. The former usually requires of complex modelling of the pipeline and the internal fluid to determine if the material will ensure vibrational stability; and in the latter case, each time there is a mistake on the material selection is necessary to restart all the process making this option expensive. In this paper, the classical mathematical description of the dynamic behavior of a clampedpinned pipeline conveying fluid is presented. Then, they are approximated to a Hamiltonian system through Garlekin¿s method being modelled as a simple linear system. The system stability has been studied by means of the eigenvalues of the linear system. From this analysis, characteristic expressions dependent on material constants has been developed as inequalities, which ensures the stability of the material if it matches all expressions. This new model provides a simplified dynamical approximation of the pipeline conveying fluid depending on material and fluid constants that is useful to determine if it is stable or not. It is worth to determine that the model dynamics does not correspond with the real, but the global behaviour is well represented. Finally, some simulations of specific materials have been use to validate the results obtained from the Hamiltonian model and a more complex model done with finite element software.
Recent developments in materials and cost reduction have led the study of the vibrational stability of pipelines conveying fluid to be an important issue. Nowadays, this analysis is done both by means of simulation with specialized softwares and by laboratory testing of the preferred materials. The former usually requires of complex modelling of the pipeline and the internal fluid to determine if the material will ensure vibrational stability; and in the latter case, each time there is a mistake on the material selection is necessary to restart all the process making this option expensive. In this paper, the classical mathematical description of the dynamic behavior of a clampedpinned pipeline conveying fluid is presented. Then, they are approximated to a Hamiltonian system through Garlekin’s method being modelled as a simple linear system. The system stability has been studied by means of the eigenvalues of the linear system. From this analysis, characteristic expressions dependent on material constants has been developed as inequalities, which ensures the stability of the material if it matches all expressions. This new model provides a simplified dynamical approximation of the pipeline conveying fluid depending on material and fluid constants that is useful to determine if it is stable or not. It is worth to determine that the model dynamics does not correspond with the real, but the global behaviour is well represented. Finally, some simulations of specific materials have been use to validate the results obtained from the Hamiltonian model and a more complex model done with finite element software. 
Obtaining Consensus of Multiagent Linear Dynamic Systems
Garcia Planas, Maria Isabel
International Conference on Mathematical, Computational and Statistical Sciences
p. 9195
Presentation's date: 20140516
Presentation of work at congresses
Read the abstract View Share Reference managersIn this paper the consensus problem is considered for multiagent systems, in which all agents have an identical linear dynamic mode that can be of any order. A generalization to the case all agents are of the same order but do not have the same linear dynamic. 
Sufficient conditions for controllability of serial concatenated linear systems
Garcia Planas, Maria Isabel; Domínguez García, José Luis; Um, Laurence Emilie
International Conference on Mathematical, Computational and Statistical Sciences
p. 123127
Presentation's date: 20140515
Presentation of work at congresses
Read the abstract View Share Reference managersThis paper deals with the sufficient conditions for controllability character of finitedimensional linear continuoustimeinvariant systems of serial composite systems. The obtained condition depends on the controllability of the systems and the functional outputcontrollability of the first one 
Sistemas lineales y códigos de convolución
Garcia Planas, Maria Isabel; Tarragona Romero, Sonia
CIBER. Revista hispánica de tendencias en ciberseguridad
Vol. 1, num. 1, p. 112
Date of publication: 20140430
Journal article
Read the abstract View Share Reference managersEn este trabajo se muestra cómo se pueden aplicar las herramientas de la teoría de sistemas lineales al estudio de códigos de convolución. 
Códigos de convolución desde el punto de vista de teoría de control. Análisis de la observabilidad
Garcia Planas, Maria Isabel; Tarragona Romero, Sonia; Um, Laurence Emilie
CIBER. Revista hispánica de tendencias en ciberseguridad
Vol. 1, num. 1, p. 18
Date of publication: 20140430
Journal article
Read the abstract Access to the full text Share Reference managersEn este trabajo se realiza un estudio detallado de la estructura algebraica de los códigos de convolución empleando técnicas de la teoría de sistemas lineales. La conexión entre estos conceptos ayuda a comprender mejor las propiedades de los códigos convolucionales. Más explícitamente, esta conexión es debida a que los conceptos de controlabilidad y observabilidad, de los sistemas lineales, pueden ser expresados, en el marco de los códigos convolucionales, como el carácter no catastrófico de los códigos. En particular, en este trabajo se examina la propiedad de ¿outputobservabilidad¿ y damos condiciones que aseguran el cumplimiento de esta propiedad.
En este trabajo se realiza un estudio detallado de la estructura algebraica de los códigos de convolución empleando técnicas de la teoría de sistemas lineales. La conexión entre estos conceptos ayuda a comprender mejor las propiedades de los códigos convolucionales. Más explícitamente, esta conexión es debida a que los conceptos de controlabilidad y observabilidad, de los sistemas lineales, pueden ser expresados, en el marco de los códigos convolucionales, como el carácter no catastrófico de los códigos. En particular, en este trabajo se examina la propiedad de “outputobservabilidad” y damos condiciones que aseguran el cumplimiento de esta propiedad. 
El eportafolio del estudiante en MaharaMoodle y Google Sites
Garcia Planas, Maria Isabel; Taberna Torres, Judit
Congreso Virtual Internacional sobre Innovación Pedagógica y Praxis Educativa
p. 110
Presentation's date: 20140326
Presentation of work at congresses
Read the abstract Access to the full text Share Reference managersEs bien conocido el potencial que tiene el uso del eportfolio del estudiante para hacer visible tanto para el mismo como para los demás, de cómo y hasta que nivel ha logrado sus objetivos. Para realizar un eportafolio se pueden utilizar distintas aplicaciones, entre ellas se encuentran Google Sites y Mahara. Google Sites permite de forma sencilla editando una plantilla previamente preparada por el profesor, crear una página web como muestra de sus trabajos desarrollados a lo largo de sus estudios. Mahara es un sistema de eportafolio que puede conectarse a Moodle y el cual puede ser controlado por el estudiante y puede ser visible por el grupo. Debido a la interoperabilidad de Mahara especialmente con Moodle, este permite que desde la plataforma de Atenea se puedan interconectar el profesorado con el eportafolio del estudiante. En este trabajo presentamos los resultados obtenidos desde el año 2011 hasta la actualidad en las investigaciones realizadas sobre el eportafolio en el marco de la Universidad Politècnica de Catalunya. 
Decoding algorithm for convolutional codes under linear systems point of view
Garcia Planas, Maria Isabel; Souidi, El Mamoun; Um, Laurence Emilie
WSEAS International Conference on Circuits, Systems, Signal and Telecommunications
p. 1724
Presentation's date: 20140111
Presentation of work at congresses
Read the abstract Access to the full text Share Reference managersIn this work the outputobservability of convolutional codes is examined and a decoding algorithm for convolutional codes using linear algebra techniques is presented.
In this work the outputobservability of convolutional codes is examined and a decoding algorithm for convolutional codes using linear algebra techniques is presented. 
Analysis of the disturbance decoupling problem for singular switched linear systems via feedback and output injection
Garcia Planas, Maria Isabel
WSEAS International Conference on Circuits, Systems, Signal and Telecommunications
p. 4145
Presentation's date: 20140110
Presentation of work at congresses
Read the abstract Share Reference managersIn last years disturbance decoupling problem with different features as inaccessible, measurable, or previewed disturbances, have become an object of research. This paper contains a geometric approach to disturbance decoupling problem with stability via feedback and output injection for singular switched linear systems, is presented and a solvability condition for the problem are proved by using the concepts of simultaneous $\{(E_{i},A_{i}, B_{i}), i = 1, 2, \ldots, \ell \}$invariant subspaces for switched systems. 
Eigenstructure of of singular systems. Perturbation analysis of simple eigenvalues
Garcia Planas, Maria Isabel; Tarragona Romero, Sonia
International journal of mathematical models and methods in applied sciences
Vol. 8, p. 4348
Date of publication: 201401
Journal article
Read the abstract Access to the full text Share Reference managersThe problem to study small perturbations of simple eigenvalues with a change of parameters is of general interest in applied mathematics. After to introduce a systematic way to know if an eigenvalue of a singular system is simple or not, the aim of this work is to study the behavior of a simple eigenvalue of singular linear system family $$\left .\begin{array}{rl}E(p)\dot x&=A(p)x+B(p)u,\\ y&=C(p)x\end{array}\right \}$$ smoothly dependent on real parameters $p=(p_{1},\ldots ,p_{n})$.
The problem to study small perturbations of simple eigenvalues with a change of parameters is of general interest in applied mathematics. After to introduce a systematic way to know if an eigenvalue of a singular system is simple or not, the aim of this work is to study the behavior of a simple eigenvalue of singular linear system family 
Stability analysis of a clampedpinned pipeline conveying fluid
Garcia Planas, Maria Isabel; Mediano Valiente, Begoña
WSEAS transactions on systems
Vol. 13, p. 5464
Date of publication: 201401
Journal article
Read the abstract Access to the full text Share Reference managersIncreasing advances in materials engineering and cost reduction in their testing have lead to the study of the stability of vibration of pipes conveying fluid an important problem to deal with. Currently, such analysis is done either by means of simulation with costly specialized software or by making laboratory tests of the selected material. One of the main issues with the last process is that if appears any trouble on the material selection, it is necessary to restart all the process, and it is happening each time there is a mistake on the material selection. In order to avoid such costly tests, a general mathematical description of the dynamic behavior of a clampedpinned pipeline conveying fluid is presented. The system stability has been studied by means of the eigenvalues of a Hamiltonian linear system associated. From this analysis, characteristic expressions dependent on material constants have been developed as inequalities, which ensure the stability of the material if it matches all expressions. Finally, some specific materials are introduced as study cases to compare the mathematical description proposed with the results obtained from specialized software as ANSYS, in order to validate the results 
On the Lipschitz stability of (A,B)invariant subspaces
Garcia Planas, Maria Isabel
Date: 201312
Report
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On the reduced minimum modulus of a linear relation in Hilbert spaces
Garcia Planas, Maria Isabel
Date: 201311
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Full static output feedback equivalence
Garcia Planas, Maria Isabel
Date: 201310
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Analysis of functional outputcontrollability of timeinvariant Composite linear systems
Garcia Planas, Maria Isabel; Tarragona, Sonia
International Conference on Systems, Control and Informatics
p. 4047
Presentation's date: 20130929
Presentation of work at congresses
Read the abstract View Share Reference managersThis paper deals with the generalization of a test for calculating the functional outputcontrollability character of finitedimensional linear continuoustimeinvariant systems for composite systems either in series or in parallel case. It is computed by means of the rank of a certain constant matrix which can be associated to the composite system. 
Analysis of behavior of a simple eigenvalue of singular system
Garcia Planas, Maria Isabel; Tarragona, Sonia
International Conference on Systems, Control and Informatics
p. 123129
Presentation's date: 20130929
Presentation of work at congresses
Read the abstract View Share Reference managersSmall perturbations of simple eigenvalues with a change of parameters is a problem of general interest in applied mathematics. The aim of this work is to study the behavior of a simple eigenvalue of singular linear system family E(p)x' = A(p)x + B(p)u; y = C(p)x smoothly dependent on real parameters p = (p1,...,pn). 
Analysis of functional outputcontrollability of timeinvariant Composite linear systems
Garcia Planas, Maria Isabel; Tarragona, Sonia
Date of publication: 201309
Book chapter
Read the abstract View Share Reference managersSmall perturbations of simple eigenvalues with a change of parameters is a problem of general interest in applied mathematics. The aim of this work is to study the behavior of a simple eigenvalue of singular linear system family E(p)x'_ = A(p)x + B(p)u; y = C(p)x smoothly dependent on real parameters p = (p1,..., pn). 
Analysis of behavior of a simple eigenvalue of singular system
Garcia Planas, Maria Isabel; Tarragona, Sonia
Date of publication: 201309
Book chapter
Read the abstract View Share Reference managersSmall perturbations of simple eigenvalues with a change of parameters is a problem of general interest in applied mathematics. The aim of this work is to study the behavior of a simple eigenvalue of singular linear system family E(p)x'_ = A(p)x + B(p)u; y = C(p)x smoothly dependent on real parameters p = (p1,..., pn). 
Compressions of maximal dissipative and selfadjoint linear relations and of dilation
Garcia Planas, Maria Isabel
Date: 201309
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Coprime factorization of singular linear systems. A Stein matritial equation approach
Garcia Planas, Maria Isabel; Lopez Cabeceira, Montserrat
International Journal of Mathematical Engineering and Science
Vol. 2, num. 9, p. 116
Date of publication: 201309
Journal article
Read the abstract Access to the full text Share Reference managersIn this work immersed in the eld of control theory on a Given a singular linear dynamic time invariant represented by Ex+(t) = Ax(t)Bu(t), y(t) = Cx(t). We want to classify singular systems such that by means a feedback and an output injection, the transfer matrix of the system is a polynomial, for that we analyze conditions for obtention of a coprime factorization of transfer matrices of singular linear systems dened over commutative rings R with element unit. The problem presented is related to the existence of solutions of a Stein matritial equation XE NXA = Z
In this work immersed in the eld of control theory on a Given a singular linear dynamic time invariant represented by Ex + ( t ) = Ax ( t ) Bu ( t ), y ( t ) = Cx ( t ). We want to classify singular systems such that by means a feedback and an output injection, the transfer ma trix of the system is a polynomial, for that we analyze conditions for obtention of a coprime factorization of transfer matrices of singular lin ear systems de ned over commutative rings R with element unit. The problem presented is related to the existence of solutions of a Stein matritial equation XE NXA = Z . 
Cyclic codes as hyperinvariant subspaces
Garcia Planas, Maria Isabel; Magret Planas, Maria Dels Dolors; Montoro López, Maria Eulalia
International Scientific Conference on Physics and Control
Presentation's date: 20130827
Presentation of work at congresses
Read the abstract Access to the full text Share Reference managersIt is known the relationship between cyclic codes and invariant subspaces. We present in this work some codes which are obtained from invariant and hyperinvariant subspaces of the linear maps having associated matrices, in the standard basis, of a special form.
It is known the relationship between cyclic codes and invariant subspaces. We present in this work some codes which are obtained from invariant and hyperinvariant subspaces of the linear maps having associated matrices, in the standard basis, of a special form. xxx 
Versal deformations of bilinear systems under outputinjection equivalence
Garcia Planas, Maria Isabel
International Scientific Conference on Physics and Control
Presentation's date: 20130827
Presentation of work at congresses
Read the abstract Access to the full text Share Reference managersBilinear systems under output injection equivalence are considered. The aim of this paper is to study what happens when a slight perturbation affects the coefficients of the matrices defining a bilinear equation in Cn. For this goal we will use the Arnold¿s techniques, that is to say we will construct a versal deformation of a differentiable family of bilinear systems which are the orthogonal linear varieties to the orbits of output injection equivalent bilinear systems. Versal deformations provide a special parametrization of bilinear systems space, which can be applied to perturbation analysis and investigation of complicated objects like singularities and bifurcations in multiparameter bilinear systems.
Bilinear systems under output injection equivalence are considered. The aim of this paper is to study what happens when a slight perturbation affects the coeffi cients of the matrices defining a bilinear equation in C n . For this goal we will use the Arnold’s techniques, that is to say we will construct a versal deformation of a differentiable family of bilinear systems which are the orthogonal linear varieties to the orbits of output injec tion equivalent bilinear systems. Versal deformations provide a special parametrization of bilinear systems space, which can be applied to perturbation analysis and investigation of complicated objects like singular ities and bifurcations in multiparameter bilinear sys tems 
Functional outputcontrollability analysis of fixed speed wind turbine
Domínguez García, José Luis; Garcia Planas, Maria Isabel
International Scientific Conference on Physics and Control
Presentation's date: 20130827
Presentation of work at congresses
Read the abstract Access to the full text Share Reference managersThis paper deals with the concepts of functional outputcontrollability character of a finitedimensional linear dynamical system. And a method for computing the functional outputcontrollability consisting on the calculation of the rank of a certain constant matrix related to the system dynamics is introduced. The linear system under study is a fixed speed wind turbine (FSWT) formed by a squirrel cage generator connected directly to the grid. Due to the nonlinear behaviour of such system, the linear system model is calculated by means of a Taylor¿s decomposition of the nonlinear equations of the squirrel cage induction generator, being the system linearized around a steady state operating point. Finally, the study of the functional outputcontrollability of such system is done, and some boundaries are given to ensure functional outputcontrollability from some given operational values.
This paper deals with the concepts of functional outputcontrollability character of a finitedimensional linear dynamical system. And a method for comput ing the functional outputcontrollability consisting on the calculation of the rank of a certain constant ma trix related to the system dynamics is introduced. The linear system under study is a fixed speed wind tur bine (FSWT) formed by a squirrel cage generator con nected directly to the grid. Due to the nonlinear be haviour of such system, the linear system model is calculated by means of a Taylor’s decomposition of the nonlinear equations of the squirrel cage induction generator, being the system linearized around a steady state operating point. Finally, the study of the func tional outputcontrollability of such system is done, and some boundaries are given to ensure functional outputcontrollability from some given operational val ues 
Analysis of support structure of wind turbine tower
Mediano Valiente, Begoña; Domínguez García, José Luis; Garcia Planas, Maria Isabel
International Scientific Conference on Physics and Control
Presentation's date: 20130827
Presentation of work at congresses
Read the abstract Access to the full text Share Reference managersWind turbines are being used to generate electricity as an alternative energy source to conventional fossil fuels, and it is well known that wind towers must to sustain continuous vibration forces throughout their operational life. In this paper, a stability analysis of bending deflection of a wind turbine steel tower is presented. The wind turbine is modelled as the structure of a simplified beamcolumn by a switched system. It is modelled by using a Hamiltonian system, which simplifies the system under study and allows to analyze the stability dynamics of the system. An eigenvalue analysis have been done in order to analyze the stability of the system; finally, also, some transient simulations of the system are presented to verify the results obtained.
Wind turbines are being used to generate electricity as an alternative energy source to conventional fossil fu els, and it is well known that wind towers must to sus tain continuous vibration forces throughout their opera tional life. In this paper, a stability analysis of bending deflection of a wind turbine steel tower is presented. The wind turbine is modelled as the structure of a sim plified beamcolumn by a switched system. It is mod elled by using a Hamiltonian system, which simplifies the system under study and allows to analyze the sta bility dynamics of the system. An eigenvalue analysis have been done in order to analyze the stability of the system; finally, also, some transient simulations of the system are presented to verify the results obtained 
Perturbation analysis of simple eigenvalues of singular linear systems
Tarragona Romero, Sonia; Garcia Planas, Maria Isabel
International Scientific Conference on Physics and Control
Presentation's date: 20130827
Presentation of work at congresses
Read the abstract Access to the full text Share Reference managersIn this work a study of the behavior of a simple eigenvalue of singular linear system family $E(p)\dot x = A(p)x + B(p)u, y = C(p)x $smoothly dependent on a vector of real parameters $p = (p_{1},..., p_{n})$ is presented.
In this work a study of the behavior of a simple eigenvalue of singular linear system family E ( p )_ x = A ( p ) x + B ( p ) u , y = C ( p ) x smoothly dependent on a vector of real parameters p = ( p 1 ;:::;p n ) is pre sented 
Schur factorizations for some classes of infinite matrices
Garcia Planas, Maria Isabel
Date: 201308
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A general approach for computing residues of partialfraction expansion of transfer matrices
Garcia Planas, Maria Isabel; Dominguez Garcia, Jose Luis
WSEAS transactions on mathematics
Vol. 12, num. 7, p. 647756
Date of publication: 201307
Journal article
Read the abstract Access to the full text Share Reference managersThis paper deals with the description of a general method for calculating the residues of a linear system. Considering, physical models, it is wellassumed that the system described only presents simple eigenvalues, or at least simplecomplex eigenvalues. However, as demonstrated in this paper, it is not completely true for all the real systems, and a method to evaluate the residues for these cases is required. In this paper, a methodology for computing the residues, even with the existence of multiple eigenvalues (described by their Jordan normal form) is developed and presented. Moreover, the calculation of the residues is applied to analyze the outputcontrollability of dynamic systems. Finally, some real examples are presented to validate the methodologies proposed.
This paper deals with the description of a general method for calculating the residues of a linear system. Considering, physical models, it is wellassumed that the system described only presents simple eigenvalues, or at least simplecomplex eigenvalues. However, as demonstrated in this paper, it is not completely true for all the real systems, and a method to evaluate the residues for these cases is required. In this paper, a methodology for computing the residues, even with the existence of multiple eigenvalues (described by their Jordan normal form) is developed and presented. Moreover, the calculation of the residues is applied to analyze the outputcontrollability of dynamic systems. Finally, some real examples are presented to validate the methodologies proposed 
El portafoli de l'estudiant en MaharaMoodle
Garcia Planas, Maria Isabel; Taberna Torres, Judit
Jornada: Dia d'Atenea
Presentation's date: 20130618
Presentation of work at congresses
Read the abstract Share Reference managersÉs ben conegut el potencial que té l¿ús del portfoli del estudiant per a fer visible tant per ell com per a els demès, de com i fins a quin nivell ha assolit els seus objectius. Mahara és un sistema d'eportafoli que es pot conectar a Moodle i que pot ser controlat per l'estudiant i pot ser visible pel grup. Degut a la interoperabilitat de Mahara especialment amb Moodle permet que des de la plataforma d¿Atenea es puguin interconnectar el professorat amb el eportafoli de l¿estudiant. Amb aquest treball s¿ha pogut constatar les dificultats d¿interacció entre les plataformes Moodle i Mahara 
Canonical form associated with the problem of perturbation of one column of a controllable pair
Garcia Planas, Maria Isabel
Date: 201306
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Analysis of control properties]{Analysis of control properties of convolutional concatenated codes under linear systems point of view
Garcia Planas, Maria Isabel; Um, Laurence Emilie; Souidi, El Mamoun
National Security Days
p. 16
DOI: 10.1109/JNS3.2013.6595475
Presentation's date: 20130427
Presentation of work at congresses
Read the abstract Access to the full text Share Reference managersIn this paper we consider two models of concatenated convolutional codes from the perspective of linear systems theory. We present an inputstateoutput representation of these models and we study the conditions for control properties as controllability, observability as well as output observability. 
Introducción a la teoría de matrices positivas. Aplicaciones
Garcia Planas, Maria Isabel; Domínguez García, José Luis
Date of publication: 20130423
Book
Read the abstract View Share Reference managersEste libro trata, de forma comprensiva, de la teoría de matrices positivas y, más generalmente, de la teoría de matrices no negativas. Las matrices cuadradas de este tipo aparecen en una gran variedad de problemas, como pueden ser los estudios de procesos estocásticos, las cadenas de Markov, los modelos económicos y la teoría de la señal, entre otros. La teoría desarrollada en este libro es una parte del álgebra lineal que recientemente ha adquirido un nuevo auge, debido a su alto grado de aplicabilidad, pues algunos de los principales resultados han sido obtenidos en las últimas décadas. Este libro está estructurado en dos partes. La primera incluye todos los resultados de álgebra matricial y lineal necesarios para que esta obra sea autocontenida. La segunda parte está dedicada propiamente el estudio de las matrices no negativas y sus aplicaciones 
Perturbation bounds of the discretetime H1 LMI based synthesis problem
Garcia Planas, Maria Isabel
Date: 201304
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Concatenated convolutional codes: Analysis of control properties under linear systems theory point of view
Garcia Planas, Maria Isabel; Soudi, El Mamoun; Um, Laurence Emilie
National Security Days
p. 6595475165954756
DOI: 10.1109/JNS3.2013.6595475
Presentation's date: 201304
Presentation of work at congresses
Read the abstract View Share Reference managersIn this paper we consider two models of concatenated convolutional codes from the perspective of linear systems theory. We present an inputstateoutput representation of these models and we study the conditions for control properties as controllability, observability as well as output observability. 
Convolutional codes under control theory point of view. Analysis of outputobservability
Garcia Planas, Maria Isabel
International Conference on Signal Processing, Robotics and Automation
p. 14
Presentation's date: 20130220
Presentation of work at congresses
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Convolutional codes under control theory point of view. Analysis of outputobservability
Garcia Planas, Maria Isabel; Souidi, El Mamoun; Um, Laurence Emilie
Date of publication: 2013
Book chapter
Read the abstract Access to the full text Share Reference managersIn this work we make a detailed look at the algebraic structure of convolutional codes using techniques of linear systems theory. The connection between these concepts help to better understand the properties of convolutional codes, in particular the concepts of controllability and observability of linear systems can be translated into the context of convolutional codes relating these properties with the noncatastrophicity of the codes. We examine the outputobservability property and we give conditions for this property.
In this work we make a detailed look at the algebraic structure of convolutional codes using techniques of linear systems theory. The connection between these concepts help to better understand the properties of convo lutional codes, in particular the concepts of controllability and observability of linear systems can be translated into the context of convolutional codes relating these properties with the noncatastrophicity of the codes. We examine the outputobservability property and we give conditions for this property. 
Natural generalized inverse and core of an element in semigroups
Garcia Planas, Maria Isabel
Date: 201301
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Preface
Garcia Planas, Maria Isabel; Carriegos Vieira, Miguel; Domínguez García, José Luis
Cybernetics and physics
Vol. 2, num. 2, p. 52
Date of publication: 2013
Journal article
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Two parametric quasicyclic codes as hyperinvariants subspaces
Garcia Planas, Maria Isabel; Magret Planas, Maria Dels Dolors; Montoro López, Maria Eulalia
Cybernetics and physics
Vol. 2, num. 2, p. 9096
Date of publication: 2013
Journal article
Read the abstract Access to the full text Share Reference managersIt is known the relationship between cyclic codes and invariant subspaces. In this work we present a generalization considering ¿generalized¿ cyclic codes and hyperinvariant subspaces
It is known the relationship between cyclic codes and invariant subspaces. In this work we present a general ization considering “generalized” cyclic codes and hy perinvariant subspaces 
Testing functional outputcontrollability of timeinvariant singular linear systems
Garcia Planas, Maria Isabel; Tarragona, Sonia
Cybernetics and physics
Vol. 2, num. 2, p. 97101
Date of publication: 2013
Journal article
Read the abstract Access to the full text Share Reference managersAfter introducing the concept of functional outputcontrollability for singular systems as a generalization of the concept that is known for standard systems. This paper deals with the description of a new test for calculating the functional outputcontrollability character of finitedimensional singular linear continuoustimeinvariant systems in the form Ex_ (t) = Ax(t) + Bu(t) y(t) = Cx(t) } (1) where E,A ¿ M = Mn(C), B ¿ Mnm(C), C ¿ Mpn(C). The functional outputcontrollability character is computed by means of the rank of a certain constant matrix which can be associated to the system.
After introducing the concept of functional output controllability for singular systems as a generalization of the concept that is known for standard systems. This paper deals with the description of a new test for cal culating the functional outputcontrollability character of finitedimensional singular linear continuoustime invariant systems in the form E _ x ( t ) = Ax ( t ) + Bu ( t ) y ( t ) = Cx ( t ) } (1) where E, A ∈ M = M n ( C ) , B ∈ M n m ( C ) , C ∈ M p n ( C ) . The functional outputcontrollability character is computed by means of the rank of a certain constant matrix which can be associated to the system 
Miniversal deformations of bilinear systems
Garcia Planas, Maria Isabel
Cybernetics and physics
Vol. 2, num. 2, p. 8489
Date of publication: 2013
Journal article
Read the abstract Access to the full text Share Reference managersBilinear systems under output injection equivalence are considered. The aim of this paper is to study what happens when a slight perturbation affects the coeffi cients of the matrices defining a bilinear equation in C n . For this goal we will use the Arnold’s techniques, that is to say we will construct a versal deformation of a differentiable family of bilinear systems which are the orthogonal linear varieties to the orbits of output injec tion equivalent bilinear systems. Versal deformations provide a special parametrization of bilinear systems space, which can be applied to perturbation analysis and investigation of complicated objects like singular ities and bifurcations in multiparameter bilinear sys tems 
Alternative tests for functional and pointwise outputcontrollability of linear timeinvariant systems
Garcia Planas, Maria Isabel; Domínguez García, José Luis
Systems & control letters
Vol. 62, num. 5, p. 382387
DOI: 10.1016/j.sysconle.2013.02.003
Date of publication: 2013
Journal article
Read the abstract Access to the full text Share Reference managersThis paper deals with the description of a new method for calculating the functional outputcontrollability. It is computed by means of the rank of a certain constant matrix which can be associated to the system. Moreover, a new method for the pointwise outputcontrollability determination by means of constructing the outputcontrollability matrix associated to the system using the residues of the given linear system is developed. Finally, a simple physical example is presented 
Generic families of singular systems and their bifurcation diagrams
Garcia Planas, Maria Isabel
International Conference Analysis and Singularities
p. 132133
Presentation's date: 20121218
Presentation of work at congresses
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Generic families of singular systemsand their bifurcation diagrams
Garcia Planas, Maria Isabel
International Conference Analysis and Singularities
p. 132133
Presentation's date: 20121218
Presentation of work at congresses
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Notas sobre análisis matemático para la ingeniería
Garcia Planas, Maria Isabel
Date of publication: 201207
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