Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1713917 | Nonlinear Analysis: Hybrid Systems | 2009 | 8 Pages |
Abstract
We study the common linear copositive Lyapunov functions of positive linear systems. Firstly, we present a theorem on pairs of second order positive linear systems, and give another proof of this theorem by means of properties of geometry. Based on the process of the proof, we extended the results to a finite number of second order positive linear systems. Then we extend this result to third order systems. Finally, for higher order systems, we give some results on common linear copositive Lyapunov functions.
Related Topics
Physical Sciences and Engineering
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Control and Systems Engineering
Authors
Zheng Chen, Yan Gao,