Title :
Conditions for the 2-D characteristic polynomial of a matrix to be very strict Hurwitz
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
fDate :
8/1/1989 12:00:00 AM
Abstract :
Conditions for the bivariate characteristic polynomial of a matrix to be very strict Hurwitz are presented. These conditions are based on the necessary and sufficient conditions for the existence of positive definite solutions to the 2-D continuous Lyapunov equation. It is shown that such an existence is only sufficient but not necessary for the characteristic polynomial to be very strict Hurwitz. Further, the testing of zeros at infinite distant points requires the use of a class of very strict positive real functions
Keywords :
Lyapunov methods; matrix algebra; polynomials; 2-D characteristic polynomial; matrix; positive real functions; very strict Hurwitz; zeros; Acoustics; Continuous time systems; Eigenvalues and eigenfunctions; Equations; Frequency domain analysis; Polynomials; Stability analysis; Sufficient conditions; Symmetric matrices; System testing;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
