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This paper considers the stability and stabilization of switched descriptor systems in discrete-time domain. First, the concept of regularity, causality are formulated for such systems. Next, the stability under arbitrary switching signals are investigated. The common Lyapunov functional method and the switched Lyapunov functional method are extended from the regular switched linear systems to the...
In this paper, the problem of stability analysis and control synthesis of discrete-time switched systems with delayed states is addressed. Two different linear matrix inequality-based conditions are given which guarantee the existence of a switched quadratic Lyapunov function for asymptotic stability of the switched systems under consideration. The obtained linear matrix inequality conditions can...
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