A Parameter-Dependent Lyapunov Function for a Polytope of Matrices

Institute of Electrical and Electronics Engineers

2009-04-01T07:20:38Z

2009-04-01T07:20:38Z

2000-08

A new sufficient condition for a polytope of matrices to be　Hurwitz-stable is presented. The stability is a consequence of the existence　of a parameter-dependent quadratic Lyapunov function, which is assured　by a certain linear constraint for generating extreme matrices of the polytope.　The condition can be regarded as a duality of the known extreme point　result on quadratic stability of matrix polytopes, where a fixed quadratic　Lyapunov function plays the role. The obtained results are applied to a　polytope of second-degree polynomials for illustration.

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IEEE Trans. on Automatic Control,v.45 no.8,1516-1519, T.Mori,H.Kokame 2000.08

http://hdl.handle.net/10212/1891

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https://doi.org/10.1109/9.871762

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copyright©2000 IEEE

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