Finite-time Stability and Stabilization for a Class of Nonlinear Discrete-time Descriptor Switched Systems with Time-varying Delay

被引：0

作者：

Xu, You ^{[1
]}

Zhu, Shuqian ^{[1
,2
]}

Ma, Shuping ^{[1
]}

Han, Qint-Long ^{[2
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

[2] Cent Queensland Univ, Ctr Intelligent & Networked Syst, Rockhampton, Qld 4702, Australia

来源：

2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年

关键词：

Descriptor systems; Switched systems; Finite-time stability; Time-varying delay;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the finite-time stability analysis and state feedback stabilization controller design for a class of nonlinear discrete-time descriptor switched systems with time-varying delay. First, by using the implicit function theorem and constructing a switched Lyapunov functional, sufficient conditions are developed which guarantee that the nonlinear discrete-time descriptor switched system with time-varying delay is regular, causal, has a unique solution in a neighborhood of the equilibrium point, and is uniformly finite-time stable. Then a delay-dependent condition on the existence of a finite-time state feedback controller is proposed. Finally, two numerical examples are given to show the effectiveness of the proposed methods.

引用

页码：6025 / 6030

页数：6

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