Finite-time stability for discrete-time singular systems with time-delay and nonlinear perturbations

Author

Stojanovic, Sreten B. ; Debeljkovic, Dragutin L. J. ; Buzurovic, Ivan M.

Author_Institution

Dept. of Eng. Sci. & Math., Univ. of Nis, Leskovac, Serbia

fYear

2015

fDate

28-30 April 2015

Firstpage

19

Lastpage

24

Abstract

This paper is concerned with the problem of finite-time stability of a class of discrete-time singular system with time-delay and nonlinear perturbations. By using discrete Lyapunov function approach, new stability criterion is derived in terms of strict linear matrix inequality to guarantee the system to be regular, causal and finite-time stable. A numerical example is provided to illustrate the effectiveness of the proposed method.

Keywords

Lyapunov methods; delay systems; discrete time systems; linear matrix inequalities; nonlinear control systems; perturbation techniques; stability criteria; discrete Lyapunov function approach; discrete-time singular system; finite-time stability; finite-time stable; linear matrix inequality; nonlinear perturbation; stability criterion; time-delay; Delay effects; Lyapunov methods; Mathematical model; Numerical stability; Stability criteria; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems and Control (ICSC), 2015 4th International Conference on

Conference_Location

Sousse

Print_ISBN

978-1-4673-7108-7

Type

conf

DOI

10.1109/ICoSC.2015.7152769

Filename

7152769