Robust stabilization of Markovian delay systems with delay-dependent exponential estimates

被引：104
作者：
Shu, Zhan
Lam, James
Xu, Shengyuan
机构：
[1] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
[2] Nanjing Univ Sci & Technol, Dept Automat, Nanjing 210094, Peoples R China
来源：
AUTOMATICA | 2006年 / 42卷 / 11期
关键词：
exponential estimates; linear matrix inequalities (LMIs); Markovian jumping systems; robust stabilization; time-delay systems; uncertain systems;
D O I：
10.1016/j.automatica.2006.06.016
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A sufficient condition for the exponential estimates of a class of Markovian systems with time delay is established for the first time in terms of the linear matrix inequality (LMI) technique. The estimating procedure is implemented by solving an LMI. The proposed condition is also extended to the uncertain case. Moreover, a state feedback stabilizing controller which makes the closed-loop system exponentially stable with a prescribed lower bound of decay rate is designed. Numerical examples are provided to illustrate the effectiveness of the theoretical results. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2001 / 2008
页数：8
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