Discrete-time switched systems, set theoretic analysis and quasi-quadratic Lyapunov functions

Laurentiu Hetel 1, * Alexandre Kruszewski 1 Wilfrid Perruquetti 1, 2, 3 Jean-Pierre Richard 1, 2, 3
* Corresponding author
1 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
2 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 : The article establishes a constructive link between two approaches for analyzing the stability of discrete-time switched linear systems with arbitrary switching. The first approach is based on quasi-quadratic Lyapunov functions while the second one concerns a set-theoretic analysis of switched systems. An LMI procedure for deriving quasi-quadratic Lyapunov functions from the set theoretic analysis is obtained. The approach may be used for constructing positively invariant set for cases of switched discrete-time linear systems that are not quadratically stable.
Document type :
Conference papers
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00685162
Contributor : Jean-Pierre Richard <>
Submitted on : Wednesday, April 4, 2012 - 12:21:46 PM
Last modification on : Friday, March 22, 2019 - 1:35:36 AM

Identifiers

  • HAL Id : hal-00685162, version 1

Citation

Laurentiu Hetel, Alexandre Kruszewski, Wilfrid Perruquetti, Jean-Pierre Richard. Discrete-time switched systems, set theoretic analysis and quasi-quadratic Lyapunov functions. MED'11, 19th IEEE Mediterranean Conference on Control and Automation, Jun 2011, Corfu, Greece. pp.ThCT1.1. ⟨hal-00685162⟩

Share

Metrics

Record views

364