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Robust H control of discrete-time Markovian jump linear systems with mode-dependent time-delays. (English) Zbl 1005.93050
Sufficient conditions for stability, stabilization and H control are presented for discrete-time Markovian jump linear systems with mean bounded uncertainties and mode depending time delay by mainly making use of linear matrix inequalities. A numerical example is given to prove the power of the results.
MSC:
93E20Optimal stochastic control (systems)
93B36H -control
93D09Robust stability of control systems
93E15Stochastic stability
15A39Linear inequalities of matrices