Stabilisation of mode-dependent singular Markovian jump systems with generally uncertain transition rates

被引：29
|
作者：
Kao, Y. G. [1 ,3 ]
Xie, J. [2 ]
Wang, C. H. [3 ]
机构：
[1] Harbin Inst Technol, Sch Sci, Weihai 264209, Peoples R China
[2] Ocean Univ China, Coll Informat Sci & Engn, Qingdao 266071, Peoples R China
[3] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 245卷
关键词：
Singular Markovian jump system; Generally uncertain transition rate; Stochastic stability; Stochastic admissibility; TIME-VARYING DELAY; LINEAR-SYSTEMS; STABILITY;
D O I：
10.1016/j.amc.2014.06.064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to investigating the stability and stabilisation problems for continuous-time mode-dependent singular Markovian jump systems (SMJSs) with generally uncertain transition rates (GUTRs). First, we establish a sufficient condition in terms of a set of coupled linear matrix inequalities (LMIs) to ensure the systems to be regular, impulse-free and stochastically stable. Then, we design a mode-dependent state-feedback controller to guarantee the closed-loop systems stochastically admissible by applying the LMI technique. Finally, a numerical example is presented to illustrate the effectiveness and efficiency of the proposed method. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：243 / 254
页数：12
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