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Zbl 1005.93050
Boukas, E.K.; Liu, Z.K.
Robust $H_\infty$ control of discrete-time Markovian jump linear systems with mode-dependent time-delays. (English)
[J] IEEE Trans. Autom. Control 46, No.12, 1918-1924 (2001). ISSN 0018-9286

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.
[Michael Kohlmann (Bonn)]

MSC 2000:: *93E20 Optimal stochastic control (systems)
93B36 $H^\infty$-control
93D09 Robust stability of control systems
93E15 Stochastic stability
15A39 Linear inequalities

Keywords: discrete time Markovian jump linear system; $H_{\infty}$ control; stability; stabilization; delay; linear matrix inequalities

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