Title: Synchronisation of generalised stochastic neural networks with delays and reaction-diffusion terms on timescales

Authors: Yongkun Li; Xiaofang Meng

Addresses: Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China ' Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China

Abstract: This paper investigates the synchronisation problem of generalised stochastic neural networks with mixed time-varying delays and reaction-diffusion terms on timescales. Base on Lyapunov stability theory and inequality skills, we establish some sufficient conditions to ensure the global exponential synchronisation of generalised stochastic neural networks with mixed time-varying delays and reaction-diffusion terms on timescales. Finally, we give an example to illustrate the effectiveness of our results.

Keywords: global exponential synchronisation; stochastic neural networks; delays; timescales; reaction-diffusion terms; Lyapunov stability theory; inequality skills.

DOI: 10.1504/IJDSDE.2015.071005

International Journal of Dynamical Systems and Differential Equations, 2015 Vol.5 No.3, pp.248 - 266

Received: 22 Oct 2014
Accepted: 19 Jan 2015
Published online: 05 Aug 2015 *

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