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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.

93D09Robust stability of control systems
93D21Adaptive or robust stabilization
93C55Discrete-time control systems
LMI toolbox
Full Text: DOI
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