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In this paper, the switching controller synthesis problem for a class of discrete-time switched linear systems is considered. In particular, a state dependent switching law is designed to exponentially stabilize the switched systems, while a finite l2 induced gain is achieved. Sufficient synthesis conditions are proposed as bilinear matrix inequalities, which are derived based on multiple Lyapunov...
This paper investigates stability and control design problems with performance analysis for discrete-time switched linear systems. The switched Lyapunov function method is combined with Finsler's lemma to generate various tests in the enlarged space containing both the state and its time difference, allowing extra degree of freedom for stability analysis and control design. Two performance measures...
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