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Mathematical Control and Related Fields (MCRF)
 

Adaptive projective synchronization of memristive neural networks with time-varying delays and stochastic perturbation

Pages: 827 - 844, Volume 5, Issue 4, December 2015      doi:10.3934/mcrf.2015.5.827

 
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Ruoxia Li - Department of Mathematics and Research Center for Complex Systems and Network Sciences, Southeast University, 210096, Nanjing, China (email)
Huaiqin Wu - Department of Applied Mathematics, Yanshan University, 066001, Qinhuangdao, China (email)
Xiaowei Zhang - Department of Applied Mathematics, Yanshan University, 066001, Qinhuangdao, China (email)
Rong Yao - Department of Applied Mathematics, Yanshan University, 066001, Qinhuangdao, China (email)

Abstract: This paper is concerned with the projective synchronization issue for memristive neural networks with time-varying delays and stochastic perturbations. Based on LaSalle-type invariance principle of stochastic functional-differential equations, by applying Lyapunov functional approach, several sufficient conditions are developed to achieve the projective synchronization between the master-slave systems with time-varying delays under stochastic perturbation and adaptive controller. A numerical example and its simulation is given to show the effectiveness of the theoretical results in this paper.

Keywords:  Memristor, neural network, time-varying delays, synchronization, stochastic perturbations.
Mathematics Subject Classification:  34A36, 34K27, 34K50, 34D06, 93C23.

Received: May 2014;      Revised: January 2015;      Available Online: October 2015.

 References