On reachable set estimation of delay Markovian jump systems with partially known transition probabilities

被引：49

作者：

Feng, Zhiguang ^{[1
,2
]}

Zheng, Wei Xing ^{[2
]}

机构：

[1] Harbin Engn Univ, Coll Automat, Harbin 150001, Peoples R China

[2] Univ Western Sydney, Sch Comp Engn & Math, Sydney, NSW 2751, Australia

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2016年 / 353卷 / 15期

基金：

澳大利亚研究理事会; 中国国家自然科学基金;

关键词：

DISCRETE-TIME-SYSTEMS; LINEAR-SYSTEMS; BOUNDED DISTURBANCES; VARYING DELAY; STABILIZATION; STABILITY; INPUTS;

D O I：

10.1016/j.jfranklin.2016.06.031

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problem of reachable set estimation of discrete-time Markovian jump systems with time-varying delay is addressed. By applying the improved reciprocally convex combination approach to bound the forward difference of double summation and the reciprocally convex combination approach to bound the forward difference of triple summation, a sufficient condition on reachable set estimation is first derived for delay Markovian jump systems with completely known transition probabilities. Then the result is extended to delay Markovian jump systems with partially known transition probabilities. Based on the criterion, a less conservative stability criterion for delay Markovian jump systems is also obtained as a by-product. In order to illustrate the effectiveness and the reduced conservatism of the proposed results, three numerical examples are presented. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：3835 / 3856

页数：22

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