Abstract

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.

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