Delay-dependent stability analysis for singular Markovian jump systems with incomplete transition probabilities

被引：23

作者：

Kim, Sung Hyun ^{[1
]}

机构：

[1] Univ Ulsan, Sch Elect Engn, Ulsan 680749, South Korea

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2015年 / 352卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

LINEAR-SYSTEMS; ROBUST STABILITY; TIME; STABILIZATION;

D O I：

10.1016/j.jfranklin.2014.10.012

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 investigates the problem of stochastic stability analysis for a class of discrete-time singular Markovian jump systems with time-varying delays and incomplete (i.e., unknown and uncertain) transition probabilities. To derive an improved delay-range-dependent stability criterion under the incomplete transition descriptions, a relaxation scheme is proposed with consideration of the free-weighting matrix method compatible with the delay partitioning technique, and its purpose is accomplished (1) by making full use of the available boundary information on incomplete transition probabilities, and (2) by employing novel slack variables that allow some useful equality constraints to be exploited. (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：236 / 247

页数：12

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