New robust delay-dependent stability and H∞ analysis for uncertain Markovian jump systems with time-varying delays

被引：62

作者：

Zhao, Xudong ^{[1
]}

Zeng, Qingshuang ^{[1
]}

机构：

[1] Harbin Inst Technol, Space Control & Inertial Technol Ctr, Harbin 150001, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2010年 / 347卷 / 05期

关键词：

Delay-dependent stability; Markovian jump systems; Time-varying delay; H-infinity performance; Norm-bounded parameter uncertainties; LINEAR-SYSTEMS; STABILIZATION;

D O I：

10.1016/j.jfranklin.2010.03.009

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 deals with the problems of robust delay-dependent stability and H-infinity analysis for Markovian jump linear systems with norm-bounded parameter uncertainties and time-varying delays. In terms of linear matrix inequalities, an improved delay-range-dependent stability condition for Markovian jump systems is proposed by constructing a novel Lyapunov-Krasovskii functional with the idea of partitioning the time delay, and a sufficient condition is derived from the H-infinity performance. Numerical examples are provided to demonstrate efficiency and reduced conservatism of the results in this paper. (C) 2010 The Franklin Institute. Published by ElsevierLtd. All rights reserved.

引用

页码：863 / 874

页数：12

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