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Stability and L2-gain analysis for switched delay systems: A delay-dependent method

Date

2006

Authors

Sun, Xi-Ming
Zhao, Jun
Hill, David

Journal Title

Journal ISSN

Volume Title

Publisher

Pergamon-Elsevier Ltd

Abstract

In this paper, we study stability and L2-gain for a class of switched systems with time-varying delays. Sufficient conditions for exponential stability and weighted L2-gain are developed for a class of switching signals with average dwell time. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). As a special case of such switching signals, we can obtain exponential stability and normal L2-gain under arbitrary switching signals. The state decay estimate is explicitly given. Two examples illustrate the effectiveness and applicability of the proposed method.

Description

Keywords

Keywords: Delay circuits; Matrix algebra; Switching systems; Delay-dependent; Exponential stability; Linear matrix inequalities (LMI); Switched delay systems; Time varying networks Delay-dependent; Exponential stability; L2-gain; Switched delay systems

Citation

Source

Automatica

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1016/j.automatica.2006.05.007

Restricted until

2037-12-31