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Robust \(H_\infty\) control of discrete-time Markovian jump linear systems with mode-dependent time-delays. (English) Zbl 1005.93050
Sufficient conditions for stability, stabilization and \(H_{\infty}\) 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:
93E20 Optimal stochastic control
93B36 \(H^\infty\)-control
93D09 Robust stability
93E15 Stochastic stability in control theory
15A39 Linear inequalities of matrices
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