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|Title:||A common linear copositive Lyapunov function for switched positive linear sysems with commutable subsystems|
|Citation:||International Journal of Systems Science, 2013; 44(11):1994-2003|
|Publisher:||Taylor & Francis Ltd|
|Yanhui Tong, Lixian Zhang, Peng Shi and Changhong Wang|
|Abstract:||This article is concerned with the existence problem of a common linear copositive Lyapunov function (CLCLF) for switched positive linear systems with stable and pairwise commutable subsystems. Three families of such systems composed of only continuous-time subsystems, only discrete-time subsystems and mixed continuous- and discrete-time subsystems are considered, respectively. It is demonstrated that a CLCLF can always be constructed for the underlying system whenever its subsystems are continuous-time, discrete-time or the mixed type. The case when the number of subsystems is two is first considered, then the obtained result is extended to the general case. Three numerical examples are given to verify the validity of the developed results. © 2013 Copyright Taylor and Francis Group, LLC.|
|Keywords:||switched positive linear systems|
common linear copositive Lyapunov functions (CLCLF)
pairwise commutable subsystems
|Rights:||© 2013 Taylor & Francis|
|Appears in Collections:||Aurora harvest 4|
Electrical and Electronic Engineering publications
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