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Controllability and observability for time-varying switched impulsive controlled systems. (English) Zbl 1206.93019
Summary: This paper is concerned with the controllability and observability for linear time-varying switched impulsive systems. First, some new results about the variation of parameters for time-varying switched impulsive systems are derived. Then less conservative sufficient conditions and necessary conditions for state controllability and observability of such systems are established. And for such system without impulsive control input, sufficient and necessary conditions for controllability and observability are derived. Furthermore, corresponding criteria applied to time-varying impulsive systems are also discussed and examples are presented to show the effectiveness of the proposed results.

MSC:
93B05 Controllability
93B07 Observability
93C05 Linear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
34H05 Control problems involving ordinary differential equations
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