Title :
A sufficient condition for the stability of matrix polynomials
Author :
Resende, Peterson ; Kaszkurewicz, Eugenius
Author_Institution :
Dept. of Electron. Eng., Minas Gerais Fed. Univ., Belo Horizonte, Brazil
fDate :
5/1/1989 12:00:00 AM
Abstract :
A sufficient condition is presented for the stability of the matrix polynomials based on algebraic properties of the matrix coefficients. The stability condition is derived from the Lyapunov theory by a multivariable feedback system that is associated to the matrix polynomial. Illustrative examples are given. A block-Schwarz form related to the matrix polynomial is obtained directly from the given realization algorithm
Keywords :
Lyapunov methods; feedback; matrix algebra; multivariable control systems; polynomials; stability criteria; Lyapunov theory; block-Schwarz form; matrix polynomials; multivariable feedback system; stability; sufficient condition; Asymptotic stability; Equations; Feedback; MIMO; Matrices; Polynomials; Stability analysis; Sufficient conditions; Testing; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
