The stability of linear discrete time delay systems over a finite time interval: New results

Author

Debeljkovic, Dragutin Lj ; Dimitrijevic, Nebojsa J. ; Stojanovic, Sreten B. ; Popov, Dejan

Author_Institution

Fac. of Technol. Eng., Univ. of Belgrade, Belgrade, Serbia

fYear

2012

fDate

6-8 July 2012

Firstpage

1459

Lastpage

1464

Abstract

This paper gives sufficient conditions for the practical and finite time stability of a particular class of linear discrete time delay systems. Analyzing the finite time stability concept, these new delay-independent conditions are derived using an approach based on the Lyapunov-like functions. The practical and attractive practical stability for discrete time delay systems has been investigated. The above mentioned approach was supported by the classical Lyapunov technique to guarantee the attractivity properties of the system behavior.

Keywords

Lyapunov methods; delay systems; discrete time systems; linear systems; stability; Lyapunov technique; Lyapunov-like functions; delay-independent conditions; finite time interval; finite time stability; linear discrete time delay system stability; sufficient conditions; Delay effects; Eigenvalues and eigenfunctions; Polynomials; Power system stability; Solvents; Stability criteria; Discrete systems; finite time stability system; non-Lyapunov stability; system stability; time delay system;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2012 10th World Congress on

Conference_Location

Beijing

Print_ISBN

978-1-4673-1397-1

Type

conf

DOI

10.1109/WCICA.2012.6358109

Filename

6358109