Garcia Planas, Maria Isabel
Total activity: 430

## Scientific and technological production Ordered by:  Date asc. Date desc. Title asc. Title desc. Researcher asc. Researcher desc.

1 to 50 of 430 results
• 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
Date of publication: 2014-01
Journal article

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 $$\left .\begin{array}{rl}E(p)\dot x&=A(p)x+B(p)u,\\ y&=C(p)x\end{array}\right \}$$ 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

• Sistemas lineales y códigos de convolución

Garcia Planas, Maria Isabel; Tarragona Romero, Sonia
CIBER. Revista hispánica de tendencias en ciberseguridad
Date of publication: 2014-04-30
Journal article

En 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
Date of publication: 2014-04-30
Journal article

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 ¿output-observabilidad¿ 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 “output-observabilidad” y damos condiciones que aseguran el cumplimiento de esta propiedad.

• Stability analysis of a clamped-pinned pipeline conveying fluid

Garcia Planas, Maria Isabel; Mediano Valiente, Begoña
WSEAS transactions on systems
Date of publication: 2014-01
Journal article

Increasing 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 clamped-pinned 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

Increasing 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 clamped-pinned 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

• 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
Presentation's date: 2014-01-11
Presentation of work at congresses

In this work the output-observability of convolutional codes is examined and a decoding algorithm for convolutional codes using linear algebra techniques is presented.

In this work the output-observability of convolutional codes is examined and a decoding algorithm for convolutional codes using linear algebra techniques is presented.

• 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
Presentation's date: 2014-05-15
Presentation of work at congresses

This paper deals with the sufficient conditions for controllability character of finite-dimensional linear continuous-time-invariant systems of serial composite systems. The obtained condition depends on the controllability of the systems and the functional output-controllability of the first one

• 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
Presentation's date: 2014-01-10
Presentation of work at congresses

In 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.

• Obtaining Consensus of Multi-agent Linear Dynamic Systems

Garcia Planas, Maria Isabel
International Conference on Mathematical, Computational and Statistical Sciences
Presentation's date: 2014-05-16
Presentation of work at congresses

In this paper the consensus problem is considered for multi-agent 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.

• El e-portafolio del estudiante en Mahara-Moodle y Google Sites

Garcia Planas, Maria Isabel; Taberna Torres, Judit
Congreso Virtual Internacional sobre Innovación Pedagógica y Praxis Educativa
Presentation's date: 2014-03-26
Presentation of work at congresses

• 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
Date of publication: 2013-09
Journal article

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 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 .

• Testing functional output-controllability of time-invariant singular linear systems

Garcia Planas, Maria Isabel; Tarragona, Sonia
Cybernetics and physics
Date of publication: 2013
Journal article

After 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 output-controllability character of finite-dimensional singular linear continuous-timeinvariant 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 output-controllability 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 output-controllability character of finite-dimensional singular linear continuous-time- 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 output-controllability character is computed by means of the rank of a certain constant matrix which can be associated to the system

• A general approach for computing residues of partial-fraction expansion of transfer matrices

Garcia Planas, Maria Isabel; Dominguez Garcia, Jose Luis
WSEAS transactions on mathematics
Date of publication: 2013-07
Journal article

This paper deals with the description of a general method for calculating the residues of a linear system. Considering, physical models, it is well-assumed that the system described only presents simple eigenvalues, or at least simple-complex 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 output-controllability 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 well-assumed that the system described only presents simple eigenvalues, or at least simple-complex 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 output-controllability of dynamic systems. Finally, some real examples are presented to validate the methodologies proposed

• Alternative tests for functional and pointwise output-controllability of linear time-invariant systems

Garcia Planas, Maria Isabel; Domínguez García, José Luis
Systems & control letters
Date of publication: 2013
Journal article

This paper deals with the description of a new method for calculating the functional output-controllability. 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 output-controllability determination by means of constructing the output-controllability matrix associated to the system using the residues of the given linear system is developed. Finally, a simple physical example is presented

• Convolutional codes under control theory point of view. Analysis of output-observability

Garcia Planas, Maria Isabel; Souidi, El Mamoun; Um, Laurence Emilie
Date of publication: 2013
Book chapter

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 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 output-observability 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 output-observability property and we give conditions for this property.

• Analysis of functional output-controllability of time-invariant Composite linear systems

Garcia Planas, Maria Isabel; Tarragona, Sonia
Date of publication: 2013-09
Book chapter

Small 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: 2013-09
Book chapter

Small 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).

• Introducción a la teoría de matrices positivas. Aplicaciones

Garcia Planas, Maria Isabel; Domínguez García, José Luis
Date of publication: 2013-04-23
Book

• Analysis of behavior of a simple eigenvalue of singular system

Garcia Planas, Maria Isabel; Tarragona, Sonia
International Conference on Systems, Control and Informatics
Presentation's date: 2013-09-29
Presentation of work at congresses

Small 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).

• Convolutional codes under control theory point of view. Analysis of output-observability

Garcia Planas, Maria Isabel
International Conference on Signal Processing, Robotics and Automation
Presentation's date: 2013-02-20
Presentation of work at congresses

• 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
Presentation's date: 2013-04-27
Presentation of work at congresses

In this paper we consider two models of concatenated convolutional codes from the perspective of linear systems theory. We present an input-state-output representation of these models and we study the conditions for control properties as controllability, observability as well as output observability.

In this paper we consider two models of concatenated convolutional codes from the perspective of linear systems theory. We present an input-state-output representation of these models and we study the conditions for control properties as controllability, observability as well as output observability.

• 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: 2013-08-27
Presentation of work at congresses

In 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

• 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: 2013-08-27
Presentation of work at congresses

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.

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 output-injection equivalence

Garcia Planas, Maria Isabel
International Scientific Conference on Physics and Control
Presentation's date: 2013-08-27
Presentation of work at congresses

Bilinear 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 multi-parameter 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 multi-parameter bilinear sys- tems

• Functional output-controllability analysis of fixed speed wind turbine

Domínguez García, José Luis; Garcia Planas, Maria Isabel
International Scientific Conference on Physics and Control
Presentation's date: 2013-08-27
Presentation of work at congresses

This paper deals with the concepts of functional output-controllability character of a finite-dimensional 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 non-linear behaviour of such system, the linear system model is calculated by means of a Taylor¿s decomposition of the non-linear equations of the squirrel cage induction generator, being the system linearized around a steady state operating point. Finally, the study of the functional output-controllability of such system is done, and some boundaries are given to ensure functional output-controllability from some given operational values.

This paper deals with the concepts of functional output-controllability character of a finite-dimensional 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 non-linear be- haviour of such system, the linear system model is calculated by means of a Taylor’s decomposition of the non-linear equations of the squirrel cage induction generator, being the system linearized around a steady state operating point. Finally, the study of the func- tional output-controllability of such system is done, and some boundaries are given to ensure functional output-controllability 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: 2013-08-27
Presentation of work at congresses

Wind 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 beam-column 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 beam-column 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

• Analysis of functional output-controllability of time-invariant Composite linear systems

Garcia Planas, Maria Isabel; Tarragona, Sonia
International Conference on Systems, Control and Informatics
Presentation's date: 2013-09-29
Presentation of work at congresses

This paper deals with the generalization of a test for calculating the functional output-controllability character of finite-dimensional linear continuous-timeinvariant 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.

• 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
Presentation's date: 2013-04
Presentation of work at congresses

In this paper we consider two models of concatenated convolutional codes from the perspective of linear systems theory. We present an input-state-output representation of these models and we study the conditions for control properties as controllability, observability as well as output observability.

• On the reduced minimum modulus of a linear relation in Hilbert spaces

Garcia Planas, Maria Isabel
Date: 2013-11
Report

• On the Lipschitz stability of (A,B)-invariant subspaces

Garcia Planas, Maria Isabel
Date: 2013-12
Report

• Natural generalized inverse and core of an element in semi-groups

Garcia Planas, Maria Isabel
Date: 2013-01
Report

• Full static output feedback equivalence

Garcia Planas, Maria Isabel
Date: 2013-10
Report

• Perturbation bounds of the discrete-time H1 LMI based synthesis problem

Garcia Planas, Maria Isabel
Date: 2013-04
Report

• Schur factorizations for some classes of infinite matrices

Garcia Planas, Maria Isabel
Date: 2013-08
Report

• Preface

Garcia Planas, Maria Isabel; Carriegos Vieira, Miguel; Domínguez García, José Luis
Cybernetics and physics
Date of publication: 2013
Journal article

• Two parametric quasi-cyclic codes as hyperinvariants subspaces

Garcia Planas, Maria Isabel; Magret Planas, Maria Dels Dolors; Montoro López, Maria Eulalia
Cybernetics and physics
Date of publication: 2013
Journal article

It 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

• Miniversal deformations of bilinear systems

Garcia Planas, Maria Isabel
Cybernetics and physics
Date of publication: 2013
Journal article

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 multi-parameter bilinear sys- tems

• El portafoli de l'estudiant en Mahara-Moodle

Garcia Planas, Maria Isabel; Taberna Torres, Judit
Presentation's date: 2013-06-18
Presentation of work at congresses

És 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'e-portafoli 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 e-portafoli de l¿estudiant. Amb aquest treball s¿ha pogut constatar les dificultats d¿interacció entre les plataformes Moodle i Mahara

• Convolutional codes under linear systems point of view. Analysis of output-controllability

Garcia Planas, Maria Isabel; Souidi, El Mamoun; Um, Laurence Emilie
WSEAS transactions on mathematics
Date of publication: 2012
Journal article

In this work we make a detailed look at the algebraic structure of convolutional codes using techniques of linear systems theory. In particular we study the input-state-output representation of a convolutional code. We examine the output-controllability property and we give conditions for this property. At the end of the paper is presented a brief introduction to the analysis of output controllability for parallel concatenated codes.

In this work we make a detailed look at the algebraic structure of convolutional codes using techniques of linear systems theory. In particular we study the input-state-output representation of a convolutional code. We examine the output-controllability property and we give conditions for this property. At the end of the paper is presented a brief introduction to the analysis of output controllability for parallel concatenated codes.

• Analysis of behavior of the eigenvalues and eigenvectors of singular linear systems

Garcia Planas, Maria Isabel; Tarragona Romero, Sonia
WSEAS transactions on mathematics
Date of publication: 2012
Journal article

Let E(p)x˙ = A(p)x + B(p)u be a family of singular linear systems smoothly dependent on a vector of real parameters p = (p1, . . . , pn). In this work we construct versal deformations of the given differentiable family under an equivalence relation, providing a special parametrization of space of systems, which can be effectively applied to perturbation analysis. Furthermore in particular, we study the behavior of a simple eigenvalue of a singular linear system family E(p)x˙ = A(p)x + B(p)u.

• Singular switched linear systems: some geometric aspects

Diez-Machío, Héctor; Clotet Juan, Jose; Garcia Planas, Maria Isabel; Magret Planas, Maria Dels Dolors; Montoro López, Maria Eulalia
International journal of modern physics B
Date of publication: 2012
Journal article

• Analysis of control properties of concatenated convolutional codes

Garcia Planas, Maria Isabel; Souidi, El Mamoun; Um, Laurence Emilie
Cybernetics and physics
Date of publication: 2012
Journal article

In this paper we consider two models of concatenated convolutional codes from the perspective of linear systems theory. We present an input-state-output representation of these models and we study the conditions for control properties for concatenated convolutional codes.

• Notas sobre análisis matemático para la ingeniería

Garcia Planas, Maria Isabel
Date of publication: 2012-07
Book

• Input Observability Analysis of Fixed Speed Wind Turbine

Garcia Planas, Maria Isabel; Domínguez García, José Luis; Mediano Valiente, Begoña
Date of publication: 2012-04
Book chapter

This paper deals with the concept of input observability in a fixed speed wind turbine. A linear system has been calculated from the nonlinear equations of the squirrel cage induction generator, supposing it connected directly to the grid and assuming a steady state operating point. The observability of the input from the output of the system could be an interesting way to know if its possible to develop some new controls without introduce special sensors in the system. Furthermore, it is interesting to analyse which is the parameter variation margin of the wind turbine from input-observable state to non-input observable, in order to obtain some restrictions to design future controllers, or limit the operating points.

• Estructuras geométricas de los sistemas de control lineales, lineales a trozos y sistemas conmutados

Compta Creus, Albert; Clotet Juan, Jose; Garcia Planas, Maria Isabel; Magret Planas, Maria Dels Dolors; Peña Carrera, Marta; Puerta Coll, Francisco Javier; Montoro López, Maria Eulalia; Puerta Sales, Fernando; Ferrer Llop, Jose
Participation in a competitive project