Robust stability of time-variant discrete-time systems with bounded parameter perturbations

Author

Premaratne, Kamal ; Mansour, Mohamed

Author_Institution

Dept. of Electr. & Comput. Eng., Miami Univ., Coral Gables, FL, USA

Volume

42

Issue

1

fYear

1995

fDate

1/1/1995 12:00:00 AM

Firstpage

40

Lastpage

45

Abstract

In this paper, global asymptotic stability of linear, time-variant, finite dimensional, zero input difference equations is investigated. We propose a technique that may be utilized to obtain regions of asymptotic stability in the coefficient space that incorporate information regarding the maximum rate of change of system parameters. Use of different matrix norms provide different “shapes” for the maximum allowable coefficient perturbations

Keywords

asymptotic stability; difference equations; discrete time systems; linear systems; matrix algebra; robust control; bounded parameter perturbations; coefficient perturbations; coefficient space; discrete-time systems; finite dimensional difference equations; global asymptotic stability; linear difference equations; matrix norms; robust stability; time-variant systems; zero input difference equations; Adaptive signal processing; Asymptotic stability; Automatic control; Chromium; Difference equations; Eigenvalues and eigenfunctions; Laboratories; Robust stability; Robustness; TV;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.350798

Filename

350798