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The problems of robust stabilization and Hinfin control for uncertain discrete-time Markovian jump linear systems with mode-dependent input time-delays are investigated in this paper. The descriptor system approach is employed to establish sufficient conditions for robust stabilization and the existence of Hinfin delayed state feedback controller via a properly constructed stochastic Lyapunov functional. The derived sufficient conditions, which are expressed in the form of linear matrix inequalities, turn out to be simple. Moreover, these conditions are easily solvable by using some existing software packages. One numerical example is presented to illustrate the usefulness of the theoretical results.
Decision and Control, 2007 46th IEEE Conference on
Date of Conference: 12-14 Dec. 2007