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Stability and stabilization of discrete‐time singular Markov jump systems with time‐varying delay
Author(s) -
Ma Shuping,
Boukas ElKébir,
Chinniah Y.
Publication year - 2009
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1446
Subject(s) - control theory (sociology) , discrete time and continuous time , stability (learning theory) , mathematics , markov chain , jump , controller (irrigation) , full state feedback , state (computer science) , computer science , control (management) , algorithm , statistics , physics , quantum mechanics , artificial intelligence , machine learning , agronomy , biology
The stochastic stability and stochastic stabilization of time‐varying delay discrete‐time singular Markov jump systems are discussed. For full and partial knowledge of transition probabilities cases, delay‐dependent linear matrix inequalities (LMIs) conditions for the systems to be regular, causal and stochastically stable are given. Sufficient conditions are proposed for the existence of state feedback controller in terms of LMIs. Finally, two numerical examples to illustrate the effectiveness of the method are given. Copyright © 2009 John Wiley & Sons, Ltd.