Loading...
Loading...

Go to the content (press return)

Enumerating feedback classes of locally Brunovsky systems

Author
Garcia-Planas, M.I.; Carriegos, M.; de Castro, N.; Lopez-Cabeceira, M.
Type of activity
Presentation of work at congresses
Name of edition
19th International Linear Algebra Society Conference
Date of publication
2014
Presentation's date
2014-08-08
Book of congress proceedings
19th Conference 2014 ILAS
First page
88
Last page
88
Project funding
Sistemas dinámicos lineales y redes de sistemas. Estudio algebraico de invariantes. Aplicaciones
URL
http://matrix.skku.ac.kr/ILAS-Book/ILAS-2014-Book-v1.pdf Open in new window
Abstract
It 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), 1132-1148]. 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.
Keywords
Systems theory, enumeration
Group of research
SCL-EG - Linear Control Systems: a Geometric Approach

Participants

  • Garcia Planas, Maria Isabel  (author and speaker )
  • Carriegos Vieira, Miguel  (author and speaker )
  • de Castro Garcia, Noemi  (author and speaker )
  • Lopez Cabeceira, Montserrat  (author and speaker )