Abstract and Applied Analysis

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

M. Rajchakit, P. Niamsup, T. Rojsiraphisal, and G. Rajchakit

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 587426, 16 pages.

Dates
First available in Project Euclid: 5 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1365174034

Digital Object Identifier
doi:10.1155/2012/587426

Mathematical Reviews number (MathSciNet)
MR2994938

Zentralblatt MATH identifier
1256.34071

Citation

Rajchakit, M.; Niamsup, P.; Rojsiraphisal, T.; Rajchakit, G. Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 587426, 16 pages. doi:10.1155/2012/587426. https://projecteuclid.org/euclid.aaa/1365174034


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