On the necessary and sufficient conditions for the very strict Hurwitz property of a 2-D characteristic polynomial

P Agathoklis,E.I Jury,M Mansour

doi:10.1109/iscas.1989.100716

On the necessary and sufficient conditions for the very strict Hurwitz property of a 2-D characteristic polynomial

P Agathoklis, E.I Jury + Show 1 more

https://doi.org/10.1109/iscas.1989.100716

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Publication Date: May 8, 1989

Citations: 3

Affiliation: University of Victoria, University of Miami, École Polytechnique Fédérale de Lausanne

#Strict Hurwitz Polynomial #Stable Matrices + Show 8 more

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Abstract

Necessary and sufficient conditions for the bivariate characteristic polynomial of a matrix to be a very strict Hurwitz polynomial (VSHP) are presented. These conditions are based on solving the Lyapunov equation for 2-D continuous systems using the Kronecker product and lead a simple test for the VSHP property. It requires testing only the eigenvalues of three stable matrices, which is simpler than the existing polynomial tests. >

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