Robust stability of linear time invariant systems represented by an interval matrix

Author

Delgado-Romero, Juan José Darío ; González-Garza, Rodolfo Serafin ; Hernández-Morales, Eduardo ; Delgado-Romero, Germán

Author_Institution

Inst. Tecnologico de Morelia, Mexico

Volume

3

fYear

1997

fDate

27-29 Aug 1997

Firstpage

545

Abstract

We describe sufficient conditions to guarantee the robust stability of a continuous linear time invariant system and the stability of a discrete linear time invariant system. The systems contain parametric uncertainty which is represented by an interval matrix. We have to know only the bound α (for continuous systems) and the dependency of the Hermitian parts of C₀ and D matrices. The bound β (for the discrete case) depends on the Hermitian and skew-Hermitian parts of C₀ and D

Keywords

Hermitian matrices; continuous time systems; discrete time systems; linear systems; robust control; Hermitian; discrete linear time invariant system; interval matrix; linear time invariant systems; parametric uncertainty; robust stability; skew-Hermitian; sufficient conditions; Continuous time systems; Control systems; Eigenvalues and eigenfunctions; Robust control; Robust stability; Sufficient conditions; Testing; Time invariant systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference

Conference_Location

St. Petersburg

Print_ISBN

0-7803-4247-X

Type

conf

DOI

10.1109/COC.1997.626664

Filename

626664