Journal
PHYSICS LETTERS A
Volume 373, Issue 36, Pages 3259-3272Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2009.07.013
Keywords
Synchronization; Stochastic perturbation; Intermittent control; Chaotic delayed neural networks; Coupled neural networks; Asymmetric coupling; Coupling delays
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Funding
- National Natural Science Foundation of China [60874088]
- Scientific Research Fund of Yunnan Province [2008CD186]
- Scientific Research Fund of Yunnan Provincial Education Department [07Y10085]
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In this Letter, we study the exponential stochastic synchronization problem for coupled neural networks with stochastic noise perturbations. Based on Lyapunov stability theory, inequality techniques, the properties of Weiner process, and adding different intermittent controllers, several sufficient conditions are obtained to ensure exponential stochastic synchronization of coupled neural networks with or without coupling delays under stochastic perturbations. These stochastic synchronization criteria are expressed in terms of several lower-dimensional linear matrix inequalities (LMIs) and can be easily verified. Moreover, the results of this Letter are applicable to both directed and undirected weighted networks. A numerical example and its simulations are offered to show the effectiveness of our new results. (C) 2009 Elsevier B.V. All rights reserved.
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