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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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