Title :
Sufficient conditions for Hurwitz and Schur stabilty of interval matrix polynomials
Author :
Yang Xiao ; Unbehauen, Rolf ; Xiyu Du
Author_Institution :
Inst. of Inf. Sci., Northern Jiao-Tong Univ., Beijing, China
fDate :
Aug. 31 1999-Sept. 3 1999
Abstract :
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 2NK2 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.
Keywords :
Lyapunov methods; matrix algebra; polynomials; stability; Hurwitz-and-Schur stability; Lyapunov equation; finite algorithms; interval matrix polynomials; lower bound coefficient matrices; matrix ∞-norm; upper bound coefficient matrices; Asymptotic stability; Differential equations; Mathematical model; Polynomials; Stability criteria; Sufficient conditions; Lyapunov approach; Robust stability; interval discrete time-delay systems; interval matrix polynomials;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5
