Stability and stabilization analysis of Markovian jump systems with generally bounded transition probabilities

被引：30

作者：

Li, Xiaohang ^{[1
,2
]}

Zhang, Weidong ^{[3
]}

Lu, Dunke ^{[1
]}

机构：

[1] Shanghai Univ Engn Sci, Sch Elect & Elect Engn, Shanghai, Peoples R China

[2] Delixi Grp Co Ltd, Wenzhou, Zhejiang, Peoples R China

[3] Shanghai Jiao Tong Univ, Sch Elect Informat & Elect Engn, Shanghai, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 13期

基金：

国家重点研发计划;

关键词：

FAULT-TOLERANT CONTROL; OUTPUT-FEEDBACK CONTROL; H-INFINITY CONTROL; LINEAR-SYSTEMS; DELAY; ACTUATOR; RATES;

D O I：

10.1016/j.jfranklin.2020.04.013

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 addresses the stability and stabilization problems for a kind of continuous-time and discrete-time Markovian jump systems, in which the transition rate (probability) is generally bounded, thus making these systems more general and realistic. In fact, those existing transition rates (probabilities) can be treated as the special cases of the generally bounded type. Apropos of the Markovian jump system with generally bounded transition rates, sufficient conditions of the stability and stabilization are developed in terms of linear matrix inequalities. For good measure, some numerical and practical examples are given to show the effectiveness and practicability of the proposed method. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：8416 / 8434

页数：19

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