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Delay-dependent robust stability and H 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 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:
93D09Robust stability of control systems
93D21Adaptive or robust stabilization
93B36H -control
93C55Discrete-time control systems