Exponential Cluster Synchronization of Neural Networks with Proportional Delays

Nian Feng, Ye Wu, Weiping Wang, Lin Zhang and Jinghua Xiao

Mathematical Problems in Engineering, 2015, vol. 2015, 1-10

Abstract:

Exponential cluster synchronization of neural networks with proportional delays is studied in this paper. Unlike previous constant delay or bounded time delay, we consider the time-varying proportional delay is unbounded, less conservative, and more widely applied. Furthermore, we designed a novel adaptive controller based on Lyapunov function and inequality technique to achieve exponential cluster synchronization for neural networks and by using a unique way of equivalent system we proved the main conclusions. Finally, an example is given to illustrate the effectiveness of our proposed method.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:523424

DOI: 10.1155/2015/523424

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