Local Stability of Bilinear Systems with Asynchronous Sampling

Hassan Omran 1 Laurentiu Hetel 1 Jean-Pierre Richard 2, 1, 3
1 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
3 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : 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.
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Conference papers
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Submitted on : Thursday, March 29, 2012 - 10:39:48 AM
Last modification on : Friday, March 22, 2019 - 1:35:55 AM

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Hassan Omran, Laurentiu Hetel, Jean-Pierre Richard. Local Stability of Bilinear Systems with Asynchronous Sampling. 4th IFAC Conference on Analysis and Design of Hybrid Systems (ADHS 12), Jun 2012, Eindhoven, Netherlands. pp.19-24. ⟨hal-00683552⟩

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