The novel sufficient condition for stability of discrete-time control system of neural networks

In this paper, we derive a sufficient condition for asymptotic stability of the zero solution of delay-difference control system of Hopfield neural networks in terms of certain matrix inequalities by using a discrete version of the Lyapunov second method. The result is applied to obtain new asymptot...

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Bibliographic Details
Main Authors: Ratchagit K., Niamsup P., Phat V.N.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-79955047278&partnerID=40&md5=1dfe037143272f6b465c7b66f87142a0
http://cmuir.cmu.ac.th/handle/6653943832/6574
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Institution: Chiang Mai University
Language: English
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Summary:In this paper, we derive a sufficient condition for asymptotic stability of the zero solution of delay-difference control system of Hopfield neural networks in terms of certain matrix inequalities by using a discrete version of the Lyapunov second method. The result is applied to obtain new asymptotic stability condition for some class of delay-difference control system such as delay-difference control system of Hopfield neural networks with multiple delays in terms of certain matrix inequalities. Our results can be well suited for computational purposes. © 2010-11 by IJAMAS, CESER Publications.