On common linear copositive Lyapunov functions for pairs of stable positive linear systems |
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Authors: | Zheng Chen Yan Gao |
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Institution: | aSchool of Management, University of Shanghai for Science and Technology, 516 Jungong Road, Shanghai 200093, China |
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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. |
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Keywords: | Positive linear systems Switched systems Common linear copositive Lyapunov functions |
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