Sufficient conditions for Hurwitz and Schur stabilty of interval matrix polynomials

Based on Lyapunov equation and ∞-norm of matrices, sufficient conditions for Hurwitz and Schur stability of interval matrix polynomials are yielded. Since the parameter space of interval matrix polynomials with N order and K×K dimension is of 2NK
²
dimension at most, it is difficult to determine its Hurwitz and Schur stability by finite algorithms. We simplify the stability test problem by relating Lyapunov function to the upper bound and the lower bound coefficient matrices of interval matrix polynomials. Illustrative examples are given.