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SCIENCE CHINA Information Sciences, Volume 62 , Issue 11 : 212206(2019) https://doi.org/10.1007/s11432-018-9897-8

Stability analysis of switched positive nonlinear systems: an invariant ray approach

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  • ReceivedDec 29, 2018
  • AcceptedApr 29, 2019
  • PublishedSep 19, 2019

Abstract

This paper addresses the stability problem associated with a class of switchedpositive nonlinear systems in which each vector field is homogeneous, cooperative, and irreducible. Instead of using the Lyapunov functionapproach, we fully establish the invariant ray analysis method to establish several stability conditions that depend onthe states, rays, and/or times. We illustrate the efficiency of our proposed approach using the example of a chemical reaction.


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