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Discrete and intersample analysis of systems ...
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Document type :
Article dans une revue scientifique
DOI :
10.1109/TAC.2011.2122690
Title :
Discrete and intersample analysis of systems with aperiodic sampling
Author(s) :
HETEL, Laurentiu [Auteur correspondant] refId
Systèmes Non Linéaires et à Retards [SyNeR]
Kruszewski, Alexandre [Auteur]
Laboratoire d'Automatique, Génie Informatique et Signal [LAGIS]
Perruquetti, Wilfrid [Auteur]
Algebra for Digital Identification and Estimation [ALIEN]
Laboratoire d'Automatique, Génie Informatique et Signal [LAGIS]
Richard, Jean-Pierre [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Algebra for Digital Identification and Estimation [ALIEN]
Journal title :
IEEE Transactions on Automatic Control
Pages :
1
Publisher :
Institute of Electrical and Electronics Engineers
Publication date :
2011
ISSN :
0018-9286
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
This article addresses the stability analysis of linear time invariant systems with aperiodic sampled-data control. Adopting a difference inclusion formalism, we show that necessary and sufficient stability conditions are ...
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This article addresses the stability analysis of linear time invariant systems with aperiodic sampled-data control. Adopting a difference inclusion formalism, we show that necessary and sufficient stability conditions are given by the existence of discrete-time quasi-quadratic Lyapunov functions. A constructive method for computing such functions is provided from the approximation of the necessary and sufficient conditions. In practice, this leads to sufficient stability criteria under LMI form. The inter-sampling behavior is discussed there: based on differential inclusions, we provide continuous-time methods that use the advantages of the discrete-time approach. The results are illustrated by numerical examples that indicate the improvement with regard to the existing literature.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
European Project :
Highly-complex and networked control systems
Collections :
  • Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Source :
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