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Controllability and Observability for a Class of Controlled Switching Impulsive Systems

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2 Author(s)
Bin Liu ; Dept. of Inf. & Comput. Sci., Hunan Univ. of Technol., Zhuzhou ; Marquez, H.J.

In this note, we study the controllability and observability problem for a class of controlled switching impulsive systems. By proposing several formula of variation of parameters for this type of time-varying systems and employing the characteristic polynomial theory of matrix, we establish necessary and sufficient conditions for controllability and controlled observability with respect to a given switching time sequence. Specializing the obtained results to the case of time-invariant linear switching impulsive systems, we derive some simple algebraic criteria, which include the results reported in the literature for time-invariant linear switching systems, linear impulsive systems and classical linear systems. One example is worked out for illustration.

Published in:

Automatic Control, IEEE Transactions on  (Volume:53 ,  Issue: 10 )

Date of Publication:

Nov. 2008

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