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Synchronization of Chaotic Delayed Neural Networks via Impulsive Control
Author(s) -
Fang Yang,
Kang Yan,
Kelin Li
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/305264
Subject(s) - control theory (sociology) , artificial neural network , synchronization (alternating current) , linear matrix inequality , matlab , lyapunov stability , interval (graph theory) , controller (irrigation) , chaotic , stability theory , mathematics , computer science , control (management) , nonlinear system , topology (electrical circuits) , mathematical optimization , artificial intelligence , physics , combinatorics , quantum mechanics , agronomy , biology , operating system
This paper is concerned with the impulsive synchronization problem of chaotic delayed neural networks. By employing Lyapunov stability theorem, impulsive control theory and linear matrix inequality (LMI) technique, several new sufficient conditions ensuring the asymptotically synchronization for coupled chaotic delayed neural networks are derived. Based on these new sufficient conditions, an impulsive controller is designed. Moreover, the stable impulsive interval of synchronized neural networks is objectively estimated by combining the MATLAB LMI toolbox and one of the two given equations. Two examples with numerical simulations are given to illustrate the effectiveness of the proposed method

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