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Delay-dependent robust stability and $$H_{\infty }$$ control for uncertain discrete-time switched systems with mode-dependent time delays. (English) Zbl 1114.93075
Summary: We consider the problems of robust stability, robust stabilization and $$H_{\infty }$$ control via memoryless state feedback for uncertain discrete-time switched systems with mode-dependent time delays. Based on linear matrix inequalities (LMIs), a descriptor model transformation of the system and a switched Lyapunov function, new delay-dependent criteria are established which are not contained in known literature. Numerical examples are presented to illustrate the effectiveness of the theoretical results.

##### MSC:
 93D09 Robust stability 93D21 Adaptive or robust stabilization 93B36 $$H^\infty$$-control 93C55 Discrete-time control/observation systems
LMI toolbox
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##### References:
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