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Detectability and Stabilizability of Discrete-Time Switched Linear Systems

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2 Author(s)
Ji-Woong Lee ; Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA ; Khargonekar, P.P.

For discrete-time switched linear systems under nondeterministic autonomous switching, the existence of causal finite-path-dependent stabilizing output injection and state feedback laws are characterized by increasing unions of linear matrix inequality conditions. These convex characterizations lead to the notions of causal finite-path-dependent detectability and stabilizability, which in turn yield a separation result for dynamic output feedback stabilization. By generalizing the standard duality concept to switched systems under arbitrary switching path constraints, we relate these notions to direct extensions of time-varying detectability and stabilizability requirements.

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Automatic Control, IEEE Transactions on  (Volume:54 ,  Issue: 3 )