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Dissipative control for singular Markovian jump systems with time delay
Author(s) -
Wang Guoliang,
Zhang Qingling,
Yang Chunyu
Publication year - 2011
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.1004
Subject(s) - dissipative system , control theory (sociology) , controller (irrigation) , mode (computer interface) , jump , lyapunov function , mathematics , function (biology) , computer science , control (management) , physics , nonlinear system , quantum mechanics , artificial intelligence , evolutionary biology , agronomy , biology , operating system
SUMMARY This paper focuses on the problem of dissipative control for continuous‐time singular time‐delayed systems with Markovian jump parameters. Different from usually mode‐dependent or mode‐independent controller design methods, a partially mode‐dependent dissipative controller is firstly proposed via using a mode‐dependent Lyapunov function. The stochastic property of the mode available to a controller operation is taken into consideration in the corresponding controller design. Moreover, the existence of the established controller is given in terms of strict linear matrix inequalities. Finally, numerical examples are used to demonstrate the effectiveness of the given theoretical results. Copyright © 2011 John Wiley & Sons, Ltd.