Normal forms of matrix words for stability ...
Document type :
Communication dans un congrès avec actes
Title :
Normal forms of matrix words for stability analysis of discrete-time switched linear systems
Author(s) :
Chenavier, Cyrille [Auteur]
Finite-time control and estimation for distributed systems [VALSE]
Ushirobira, Rosane [Auteur]
Géométrie, Algèbre, Informatique, Applications [GAIA]
Hetel, Laurentiu [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Finite-time control and estimation for distributed systems [VALSE]
Ushirobira, Rosane [Auteur]

Géométrie, Algèbre, Informatique, Applications [GAIA]
Hetel, Laurentiu [Auteur]

Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Conference title :
ECC 2020 - 18th European Control Conference
City :
Saint Petersburg
Country :
Russie
Start date of the conference :
2020-05-12
Publication date :
2020-05
HAL domain(s) :
Mathématiques [math]/Systèmes dynamiques [math.DS]
English abstract : [en]
In this paper, we propose a new method for investigating the stabilityof discrete-time switched linear systems by means of linear algebratechniques. Exponential stability of such systems is equivalent to theexistence of ...
Show more >In this paper, we propose a new method for investigating the stabilityof discrete-time switched linear systems by means of linear algebratechniques. Exponential stability of such systems is equivalent to theexistence of solutions of linear matrix inequalities indexed by matrixwords, i.e., products of matrices of the sub-systems). Our methodconsists in using the link between this characterization ofexponential stability and linear dependency among matrix words. Inparticular, we introduce a criterion to reduce drastically the numberof linear matrix inequalities, by removing redundant ones. This isachieved by eliminating matrix words that depend on the others. Fromthis criterion, we also relate exponential stability to quadraticstability of another switched system. An example is given toillustrate our methods.Show less >
Show more >In this paper, we propose a new method for investigating the stabilityof discrete-time switched linear systems by means of linear algebratechniques. Exponential stability of such systems is equivalent to theexistence of solutions of linear matrix inequalities indexed by matrixwords, i.e., products of matrices of the sub-systems). Our methodconsists in using the link between this characterization ofexponential stability and linear dependency among matrix words. Inparticular, we introduce a criterion to reduce drastically the numberof linear matrix inequalities, by removing redundant ones. This isachieved by eliminating matrix words that depend on the others. Fromthis criterion, we also relate exponential stability to quadraticstability of another switched system. An example is given toillustrate our methods.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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