Lyapunov and non-Lyapunov stability of linear discrete time delay systems

Author

Debeljkovic, D. Lj ; Aleksandric, M.

Author_Institution

Dept. of Control Eng., Belgrade Univ., Yugoslavia

Volume

5

fYear

2003

fDate

4-6 June 2003

Firstpage

4450

Abstract

This paper extends some of the basic results in the area of Lyapunov (asymptotic) and finite time and practical stability to linear, discrete, time invariant time-delay systems. New definitions have been established for the latter concept of stability. Sufficient conditions for this type of stability, concerning the particular class of linear discrete time-delay systems are derived. To the best knowledge of the authors, such results have not yet been reported. Moreover, the generalization of some previous results, in the area of Lyapunov stability for the same class of systems has been also established and proven.

Keywords

Lyapunov methods; asymptotic stability; delay systems; discrete time systems; linear systems; Lyapunov stability; asymptotic stability; finite time stability; linear discrete time delay systems; nonLyapunov stability; practical stability; Asymptotic stability; Control engineering; Delay effects; Delay systems; Difference equations; Lyapunov method; Mechanical engineering; Stability criteria; State-space methods; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1240540

Filename

1240540