On robust α-stability analysis of uncertain neutral systems with time varying delays: A novel augmented Lyapunov functional approach

Author

Amri, Issam ; Soudani, Dhaou ; Benrejeb, Mohamed

Author_Institution

Unit Res. L.A.R.A., Ecole Nat. d´´Ing. de Tunis, Tunis, Tunisia

fYear

2011

fDate

22-25 March 2011

Firstpage

1

Lastpage

6

Abstract

In this paper, the problem of delay dependent robust exponential stability for neutral system with time varying delays and structured uncertainties is investigated. By introducing a novel augmented Lyapunov functional, a new delay dependent sufficient stability criterion is obtained in terms of Linear Matrix Inequalities LMIs. The proposed approach involves neither free weighting matrices, nor any model transformation, and it is shown that the new criteria can provide less conservative results than some existing ones. Numerical examples are considered to show the efficiency of the proposed stability approach.

Keywords

Lyapunov methods; asymptotic stability; delays; robust control; time-varying systems; uncertain systems; augmented Lyapunov functional approach; linear matrix inequalities; robust exponential stability; robust stability analysis; stability criterion; time varying delay; uncertain neutral system; Exponential stability; Linear matrix inequalities; Time varying delays; Uncertain neutral systems; augmented Lyapunov functional;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Signals and Devices (SSD), 2011 8th International Multi-Conference on

Conference_Location

Sousse

Print_ISBN

978-1-4577-0413-0

Type

conf

DOI

10.1109/SSD.2011.5767467

Filename

5767467