On Easily Verifiable Conditions for the Existence of Common Linear Copositive Lyapunov Functions | IEEE Journals & Magazine | IEEE Xplore

On Easily Verifiable Conditions for the Existence of Common Linear Copositive Lyapunov Functions


Abstract:

This technical note addresses the existence of a common linear copositive Lyapunov function (CLCLF) for continuous-time switched positive linear systems. Two necessary an...Show More

Abstract:

This technical note addresses the existence of a common linear copositive Lyapunov function (CLCLF) for continuous-time switched positive linear systems. Two necessary and sufficient conditions for the existence of a CLCLF are provided. One condition shows that the existence of a CLCLF for a family of n×n-dimensional Metzler matrices can only be determined by n-1 lower dimensional Hurwitz matrices. The other condition further shows that the existence of a CLCLF is also determined by n-1 characteristic constants, which gives an easily verifiable computation algorithm without checking a large amount of Metzler Hurwitz matrices.
Published in: IEEE Transactions on Automatic Control ( Volume: 58, Issue: 7, July 2013)
Page(s): 1862 - 1865
Date of Publication: 10 January 2013

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