Local Stability of Bilinear Systems with ...
Document type :
Communication dans un congrès avec actes
Title :
Local Stability of Bilinear Systems with Asynchronous Sampling
Author(s) :
Omran, Hassan [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Hetel, Laurentiu [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Richard, Jean-Pierre [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Systèmes Non Linéaires et à Retards [SyNeR]
Centrale Lille
Systèmes Non Linéaires et à Retards [SyNeR]
Hetel, Laurentiu [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
Richard, Jean-Pierre [Auteur]

Non-Asymptotic estimation for online systems [NON-A]
Systèmes Non Linéaires et à Retards [SyNeR]
Centrale Lille
Conference title :
4th IFAC Conference on Analysis and Design of Hybrid Systems (ADHS 12)
City :
Eindhoven
Country :
Pays-Bas
Start date of the conference :
2012-06-06
Publication date :
2012-06-06
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
This note considers the problem of local stability of aperiodic sampled-data bilinear systems, controlled via linear state-feedback. The sampling intervals are time-varying and upper bounded. It is shown that by solving ...
Show more >This note considers the problem of local stability of aperiodic sampled-data bilinear systems, controlled via linear state-feedback. The sampling intervals are time-varying and upper bounded. It is shown that by solving linear matrix inequalities (LMIs) the local asymptotic stability of the sampled system is guaranteed in an ellipsoidal region containing the origin of the state space. The method is based on the analysis of contractive invariant sets, and it is inspired by the dissipativity theory. The results are illustrated by means of a numerical example.Show less >
Show more >This note considers the problem of local stability of aperiodic sampled-data bilinear systems, controlled via linear state-feedback. The sampling intervals are time-varying and upper bounded. It is shown that by solving linear matrix inequalities (LMIs) the local asymptotic stability of the sampled system is guaranteed in an ellipsoidal region containing the origin of the state space. The method is based on the analysis of contractive invariant sets, and it is inspired by the dissipativity theory. The results are illustrated by means of a numerical example.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
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