Stability of Discrete-time Systems : New Criteria and Applications to Control Problems

Abderrahman Iggidr 1 Mohamed Bensoubaya
1 CONGE - Geometric control for non-linear systems
MMAS - Laboratoire Méthodes Mathématiques pour l'Analyse des Systèmes, INRIA Lorraine
Abstract : The aim of this article is to present some new stability sufficient conditions for discrete-time nonlinear systems. It shows how to use nonnegative semi-definite functions as Lyapunov functions instead of positive definite ones for studying the stability of a given system. Several examples and some applications to control theory are presented to illustrate the various theorems.
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Rapport
[Research Report] RR-3003, INRIA. 1996, pp.18
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https://hal.inria.fr/inria-00073692
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Soumis le : mercredi 24 mai 2006 - 13:31:55
Dernière modification le : mercredi 22 août 2018 - 21:12:02
Document(s) archivé(s) le : dimanche 4 avril 2010 - 21:38:58

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Abderrahman Iggidr, Mohamed Bensoubaya. Stability of Discrete-time Systems : New Criteria and Applications to Control Problems. [Research Report] RR-3003, INRIA. 1996, pp.18. 〈inria-00073692〉

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