Title :
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
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;
Conference_Titel :
Systems, Signals and Devices (SSD), 2011 8th International Multi-Conference on
Conference_Location :
Sousse
Print_ISBN :
978-1-4577-0413-0
DOI :
10.1109/SSD.2011.5767467
