Xiuyong Ding and Lan Shu and Xiu Liu
Stability of a Special Class of Switched Positive Systems
1260 - 1265
2011
5
8
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/6709
https://publications.waset.org/vol/56
World Academy of Science, Engineering and Technology
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 discretetime 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 continuous and discretetime positive linear timeinvariant( LTI) systems. Finally, a simple example is provided to illustrate the implication of our results.
Open Science Index 56, 2011