2004•Unpublished venueRequires access

Equivalence of some controllability notions for linear switched systems and their geometric criteria

Guangming Xie, Long Wang

Abstract

In this paper, the hybrid controllability and mode controllability of switched linear systems are investigated. It is proved that, for switched linear systems, the hybrid controllability is equivalent to the state controllability. Based on this fact, a sufficient and necessary condition for hybrid controllability of switched linear systems is established. Furthermore, the results are extended to switch linear systems with time-delay in control. Two examples are provided to illustrate our results.

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Key concepts: Controllability, Equivalence (formal languages), Linear system, Control theory (sociology), Controllability Gramian, Network controllability, Mathematics, Linear control systems