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Delay‐dependent robust stabilization for uncertain stochastic switching systems with distributed delays
Author(s) -
Shen Hao,
Xu Shengyuan,
Song Xiaona,
Luo Jianwen
Publication year - 2009
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.133
Subject(s) - control theory (sociology) , linear matrix inequality , controller (irrigation) , stability theory , set (abstract data type) , class (philosophy) , computer science , robust control , control (management) , mathematics , mathematical optimization , control system , engineering , nonlinear system , artificial intelligence , physics , electrical engineering , quantum mechanics , agronomy , biology , programming language
Abstract This paper deals with the problem of robust stabilization for a class of uncertain stochastic switching systems with distributed delays. The purpose is to design a memory controller, which guarantees that the resulting closed‐loop system is mean‐square asymptotically stable. In terms of a set of linear matrix inequalities, a delay‐dependent condition is proposed and a robust memory controller is designed. Two numerical examples are provided to illustrate the effectiveness of the proposed method. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society