Open AccessUniform finite-time stability of discrete-time switched descriptor systems
Author(s) -
Gao Zai-rui,
Shen Yanxia,
Zhicheng Ji
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.120203
Subject(s) - discrete time and continuous time , stability (learning theory) , bounded function , control theory (sociology) , class (philosophy) , state (computer science) , lyapunov function , computer science , mathematics , function (biology) , control (management) , algorithm , mathematical analysis , physics , nonlinear system , quantum mechanics , evolutionary biology , biology , statistics , machine learning , artificial intelligence
The problem of uniform finite-time stability for a class of discrete-time switched descriptor systems is considered. Firstly, the concept of finite-time stability for continuous descriptor systems is extended to discrete-time switched descriptor systems. Secondly, based on the Lyapunov-like function method, and under arbitrary switching signal, sufficient conditions under which discrete-time switched descriptor systems are regular and causal, the uniform finite-time is bounded and uniform finite-time is stable, are derived. Then, the state feedback controllers are designed to guarantee the discrete-time switched descriptor system uniform finite-time stablility. Finally, some numerical examples show that the results obtained in this paper are effective.