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

fYear

1999

fDate

Aug. 31 1999-Sept. 3 1999

Firstpage

1

Lastpage

6

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1999 European

Conference_Location

Karlsruhe

Print_ISBN

978-3-9524173-5-5

Type

conf

Filename

7098743