Abstract and Applied Analysis
Volume 2012 (2012), Article ID 587426, 16 pages
http://dx.doi.org/10.1155/2012/587426
Research Article

Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay

M. Rajchakit,1 P. Niamsup,2 T. Rojsiraphisal,2 and G. Rajchakit1

1Major of Mathematics and Statistics, Faculty of Science, Maejo University, Chiang Mai 50290, Thailand
2Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50000, Thailand

Received 3 August 2012; Revised 24 September 2012; Accepted 25 September 2012

Academic Editor: Xiaodi Li

Copyright © 2012 M. Rajchakit et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper studies the problem of guaranteed cost control for a class of uncertain delayed neural networks. The time delay is a continuous function belonging to a given interval but not necessary to be differentiable. A cost function is considered as a nonlinear performance measure for the closed-loop system. The stabilizing controllers to be designed must satisfy some exponential stability constraints on the closed-loop poles. By constructing a set of augmented Lyapunov-Krasovskii functionals combined with Newton-Leibniz formula, a guaranteed cost controller is designed via memoryless state feedback control, and new sufficient conditions for the existence of the guaranteed cost state feedback for the system are given in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the obtained result.