Journal
NEUROCOMPUTING
Volume 74, Issue 10, Pages 1617-1625Publisher
ELSEVIER
DOI: 10.1016/j.neucom.2011.01.010
Keywords
Lag synchronization; Mixed delay; Nonlinear perturbations; Parameter identification; Vector-form noise
Categories
Funding
- Scientific Research Fund of Yunnan Province [2010ZC150]
- National Natural Science Foundation of China [10801056]
- Natural Science Foundation of Zhejiang Province
- Natural Science Foundation of Ningbo [2010A610094]
- Foundation of Chinese Society for Electrical Engineering
- Hunan Provincial Natural Science Foundation of China [07JJ4001]
- Chinese Ministry of Education
- Excellent Youth Foundation of Educational Committee of Hunan Provincial [10B002]
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This paper investigates the problem of lag synchronization for a kind of chaotic neural networks with discrete and distributed delays (mixed delays). The driver system has uncertain parameters and uncertain nonlinear external perturbations, while the response system has channel noises. A simple but all-powerful robust adaptive controller is designed to circumvent the effects of uncertain external perturbations such that the response system synchronize with the driver system. Based on the invariance principle of stochastic differential equations and some suitable Lyapunov functions, several sufficient conditions are developed to solve this problem. Moreover, under certain conditions, parameters of the uncertain master system can be estimated. Numerical simulations are exploited to show the effectiveness of the theoretical results. (C) 2011 Elsevier B.V. All rights reserved.
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