H∞ State-Feedback Control for Semi-Markov Jump Linear Systems With Time-Varying Delays
2013 ◽
Vol 135
(4)
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Keyword(s):
Semi-Markov jump linear systems (S-MJLSs) are more general than Markov jump linear systems in modeling practical systems. This paper investigates the H∞ control problem for a class of semi-Markov jump linear systems with time-varying delays. The sojourn-time partition technique is firstly proposed for the delayed stochastic switching system. A sufficient condition for designing the state feedback controller is then established. Moreover, the sufficient condition is expressed as a set of linear matrix inequalities which can be readily solved. A numerical example illustrates the effectiveness of the proposed controller design technique.
2019 ◽
Vol 50
(11)
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pp. 2142-2152
2011 ◽
Vol 44
(1)
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pp. 12620-12625
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Keyword(s):