Asymptotical and adaptive synchronization of Cohen-Grossberg neural networks with heterogeneous proportional delays

JIA Shichao; HU Cheng; YU Juan; JIANG Haijun

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Asymptotical and adaptive synchronization of Cohen-Grossberg neural networks with heterogeneous proportional delays

JIA Shichao,HU Cheng *,YU Juan,JIANG Haijun

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046

*Correspondence author

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Funding: Specialized Research Fund for the Doctoral Program of Higher Education （No.20136501120001）, National Natural Science Foundation of People’s Republic of China（No.61563048, 61473244, 11402223）

Opened online: 1 April 2017

Accepted by: none

Citation: JIA Shichao,HU Cheng,YU Juan.Asymptotical and adaptive synchronization of Cohen-Grossberg neural networks with heterogeneous proportional delays[OL]. [ 1 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4723207

enewcommand{ aggedright}{leftskip=0pt ightskip=0pt plus 0cm} aggedrightIn this paper, the synchronization of Cohen-Grossberg neural networks with proportional delays is investigated. Firstly, the asymptotical synchronization is proposed by designing a simple linear feedback controller, and some delay-independent and delay-dependent criteria are derived based on variable transformation, reduction to absurdity and Lyapunov functional theory.In addition, an adaptive control strategy is designed to reduce the control cost and the adaptive synchronization is investigated by means of Barbalat lemma.Finally, two numerical examples are given to show the validity and effectiveness of the theoretical results.

Keywords:enewcommand{aggedright}{leftskip=0pt ightskip=0pt plus 0cm}aggedright Cohen-Grossberg Neural Network; Proportional Delay; Synchronization; Linear Control; Adaptive Control

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