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• W2166600029 abstract "The existence of a common quadratic Lyapunov function CQLF for a switched linear system guarantees its global asymptotic stability. Even if progress in finding the conditions for the existence/non-existence of a CQLF is significant, especially in switched linear systems consisting of N second-order systems or two systems of order n , the general case of N systems of order n still remains open. In this article, a sufficient condition for the non-existence of a CQLF for N systems of order n is derived. Based on the condition, a new method for determining the non-existence of a CQLF, using particle swarm optimisation, was designed and is described. Examples illustrating the proposed method are introduced at the end of this article." @default.
• W2166600029 created "2016-06-24" @default.
• W2166600029 creator A5036484301 @default.
• W2166600029 creator A5058500031 @default.
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• W2166600029 date "2012-11-01" @default.
• W2166600029 modified "2023-09-30" @default.
• W2166600029 title "A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation" @default.
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• W2166600029 doi "https://doi.org/10.1080/00207721.2012.687787" @default.
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