Delay-dependent guaranteed cost controller design for uncertain neural networks with interval time-varying delay

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-lo...

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Main Authors:	Rajchakit M., Niamsup P., Rojsiraphisal T., Rajchakit G.
Format:	Article
Published:	Hindawi Publishing Corporation 2015
Subjects:	Applied Mathematics Analysis
Online Access:	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84870016361&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38643
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-386432015-06-16T07:53:45Z Delay-dependent guaranteed cost controller design for uncertain neural networks with interval time-varying delay Rajchakit M. Niamsup P. Rojsiraphisal T. Rajchakit G. Applied Mathematics Analysis 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. © 2012 M. Rajchakit et al. 2015-06-16T07:53:45Z 2015-06-16T07:53:45Z 2012-11-30 Article 10853375 2-s2.0-84870016361 10.1155/2012/587426 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84870016361&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38643 Hindawi Publishing Corporation
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Applied Mathematics Analysis
spellingShingle	Applied Mathematics Analysis Rajchakit M. Niamsup P. Rojsiraphisal T. Rajchakit G. Delay-dependent guaranteed cost controller design for uncertain neural networks with interval time-varying delay
description	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. © 2012 M. Rajchakit et al.
format	Article
author	Rajchakit M. Niamsup P. Rojsiraphisal T. Rajchakit G.
author_facet	Rajchakit M. Niamsup P. Rojsiraphisal T. Rajchakit G.
author_sort	Rajchakit M.
title	Delay-dependent guaranteed cost controller design for uncertain neural networks with interval time-varying delay
title_short	Delay-dependent guaranteed cost controller design for uncertain neural networks with interval time-varying delay
title_full	Delay-dependent guaranteed cost controller design for uncertain neural networks with interval time-varying delay
title_fullStr	Delay-dependent guaranteed cost controller design for uncertain neural networks with interval time-varying delay
title_full_unstemmed	Delay-dependent guaranteed cost controller design for uncertain neural networks with interval time-varying delay
title_sort	delay-dependent guaranteed cost controller design for uncertain neural networks with interval time-varying delay
publisher	Hindawi Publishing Corporation
publishDate	2015
url	http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84870016361&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38643
_version_	1681421510806339584

Delay-dependent guaranteed cost controller design for uncertain neural networks with interval time-varying delay

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