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Delay‐dependent stability criterion and H ∞ analysis for Markovian jump systems with time‐varying delays
Author(s) -
Zhao Xudong,
Ling Mingxiang,
Zeng Qingshuang
Publication year - 2011
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.302
Subject(s) - control theory (sociology) , stability (learning theory) , jump , stability criterion , markov process , mathematics , computer science , physics , statistics , control (management) , discrete time and continuous time , artificial intelligence , quantum mechanics , machine learning
This paper deals with the problems of stochastic stability and H ∞ analysis for Markovian jump linear systems with time‐varying delays. In terms of linear matrix inequalities, a less conservative delay‐dependent stability criterion for Markovian jump systems is proposed by constructing a different Lyapunov‐Krasovskii functional and introducing improved integral‐equalities approach, and a sufficient condition is derived from the H ∞ performance. Numerical examples are provided to demonstrate the efficiency and reduced conservatism of the results in this paper. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society