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"Stability Analysis for Switched Positive Linear Systems under Statedependent Switching "

Xiuyong Ding* and Xiu Liu
International Journal of Control, Automation, and Systems, vol. 15, no. 2, pp.481-488, 2017

Abstract : "This paper addresses the state-dependent stability problem of switched positive linear systems. Some exponential stability criteria are established on the given partitions of the nonnegative state space. First, a exponential stability of systems without delays is established with the help of a single linear co-positive Lyapunov function. When this does not seem possible, we also prove the stability by using multiple linear co-positive Lyapunov functions. Moreover, we extend this result to the delayed systems in terms of the single and multiple linear co-positive Lyapunov functionals respectively. The proposed results can be applied to the general systems without any special restriction. Some numerical examples are given to illustrate the effectiveness of our results."

Keyword : Positive systems, stability, state-dependent switching, switched systems.

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