Title: Impulsive control for uncertain systems with time-invariant delay and non-linear disturbance

Authors: H.W. Ju, B.T. Cui

Addresses: College of Communications and Control Engineering, Jiangnan University, 1800 Lihu Rd., Wuxi, Jiangsu 214122, P.R.China. ' College of Communications and Control Engineering, Jiangnan University, 1800 Lihu Rd., Wuxi, Jiangsu 214122, P.R.China

Abstract: In this paper, robust stability and robust exponential stability for uncertain systems with time delay and non-linear disturbance are investigated. By employing the method of Lyapunov function and linear matrix inequality approach, several stability criteria are established and the stable region is also estimated. Our results show that these classes of system can be stabilised by impulses. These obtained results are then applied to the design of impulsive controller. An example and its simulation are also given to illustrate our results.

Keywords: impulsive control; uncertain systems; robust stability; exponential stability; time-invariant delay; nonlinear disturbances; uncertainty.

DOI: 10.1504/IJMIC.2008.021163

International Journal of Modelling, Identification and Control, 2008 Vol.4 No.3, pp.260 - 267

Published online: 07 Nov 2008 *

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