Title :
On the necessary and sufficient conditions for the very strict Hurwitz property of a 2-D characteristic polynomial
Author :
Agathoklis, P. ; Jury, E.I. ; Mansour, M.
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
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
Keywords :
Lyapunov methods; matrix algebra; polynomials; 2D continuous systems; Kronecker product; Lyapunov equation; bivariate characteristic polynomial; necessary/sufficient conditions; stable matrices; two dimensional polynomials; very strict Hurwitz property; Automatic control; Continuous time systems; Eigenvalues and eigenfunctions; Equations; Frequency dependence; Frequency domain analysis; Polynomials; Stability analysis; Sufficient conditions; System testing;
Conference_Titel :
Circuits and Systems, 1989., IEEE International Symposium on
Conference_Location :
Portland, OR
DOI :
10.1109/ISCAS.1989.100716
