A sufficient condition for the stability of matrix polynomials
P. Resende, Eugenius Kaszkurewicz · IEEE Transactions on Automatic Control · 1989
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.>