Stability of a Special Class of Switched Positive Systems
نویسندگان
چکیده
This paper is concerned with the existence of a linear copositive Lyapunov function(LCLF) for a special class of switched positive linear systems(SPLSs) composed of continuousand discrete-time subsystems. Firstly, by using system matrices, we construct a special kind of matrices in appropriate manner. Secondly, our results reveal that the Hurwitz stability of these matrices is equivalent to the existence of a common LCLF for arbitrary finite sets composed of continuousand discrete-time positive linear timeinvariant(LTI) systems. Finally, a simple example is provided to illustrate the implication of our results. Keywords—Linear copositive Lyapunov functions; Positive systems; Switched systems.
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