Complete Periodic Synchronization of Memristor-Based Neural Networks with Time-Varying Delays

Huaiqin Wu, Luying Zhang, Sanbo Ding, Xueqing Guo and Lingling Wang

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-12

Abstract:

This paper investigates the complete periodic synchronization of memristor-based neural networks with time-varying delays. Firstly, under the framework of Filippov solutions, by using M -matrix theory and the Mawhin-like coincidence theorem in set-valued analysis, the existence of the periodic solution for the network system is proved. Secondly, complete periodic synchronization is considered for memristor-based neural networks. According to the state-dependent switching feature of the memristor, the error system is divided into four cases. Adaptive controller is designed such that the considered model can realize global asymptotical synchronization. Finally, an illustrative example is given to demonstrate the validity of the theoretical results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:140153

DOI: 10.1155/2013/140153

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