On necessary and sufficient conditions for H<inf>∞</inf> output feedback control of Markov jump linear systems

Publication Type:
Conference Proceeding
Proceedings of the IEEE Conference on Decision and Control, 2006, pp. 5525 - 5530
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This note addresses the output feedback H∞ control problem for continuous-time Markov jump linear systems. It is shown that the feasibility of a set of linear matrix inequalities is both sufficient and necessary for the existence of a solution. Under standard assumptions, we also give a Riccatitype sufficient and necessary condition for an H∞ -suboptimal controller to exist. © 2006 IEEE.
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