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Robust adaptive synchronization of chaotic neural networks by slide technique
作者姓名:楼旭阳  崔宝同
作者单位:College of Communication and Control Engineering, Jiangnan University, Wuxi 214122, China;CSIRO Division of Mathematical and Information Sciences, University of Adelaide, Urrbrae 5064, Australia;College of Communication and Control Engineering, Jiangnan University, Wuxi 214122, China
基金项目:Project supported by the National Natural Science Foundation of China (Grant No 60674026), the Key Project of Chinese Ministry of Education (Grant No 107058), the Jiangsu Provincial Natural Science Foundation of China (Grant No BK2007016) and the Jiangsu Provincial Program for Postgraduate Scientific Innovative Research of Jiangnan University (Grant No CX07B适应性同步化;滑行技术;混沌神经网络;时间延误robust adaptive synchronization, slide technique, chaotic neural networks, time-varying delayProject supported by the National Natural Science Foundation of China (Grant No 60674026), the Key Project of Chinese Ministry of Education (Grant No 107058), the Jiangsu Provincial Natural Science Foundation of China (Grant No BK2007016) and the Jiangsu Provincial Program for Postgraduate Scientific Innovative Research of Jiangnan University (Grant No CX07B适应性同步化;滑行技术;混沌神经网络;时间延误robust adaptive synchronization, slide technique, chaotic neural networks, time-varying delayProject supported by the National Natural Science Foundation of China (Grant No 60674026), the Key Project of Chinese Ministry of Education (Grant No 107058), the Jiangsu Provincial Natural Science Foundation of China (Grant No BK2007016) and the Jiangsu Provincial Program for Postgraduate Scientific Innovative Research of Jiangnan University (Grant No CX07B适应性同步化;滑行技术;混沌神经网络;时间延误robust adaptive synchronization, slide technique, chaotic neural networks, time-varying delayProject supported by the National Natural Science Foundation of China (Grant No 60674026), the Key Project of Chinese Ministry of Education (Grant No 107058), the Jiangsu Provincial Natural Science Foundation of China (Grant No BK2007016) and the Jiangsu Provincial Program for Postgraduate Scientific Innovative Research of Jiangnan University (Grant No CX07B适应性同步化;滑行技术;混沌神经网络;时间延误robust adaptive synchronization, slide technique, chaotic neural networks, time-varying delayProject supported by the National Natural Science Foundation of China (Grant No 60674026), the Key Project of Chinese Ministry of Education (Grant No 107058), the Jiangsu Provincial Natural Science Foundation of China (Grant No BK2007016) and the Jiangsu Provincial Program for Postgraduate Scientific Innovative Research of Jiangnan University (Grant No CX07B适应性同步化;滑行技术;混沌神经网络;时间延误robust adaptive synchronization, slide technique, chaotic neural networks, time-varying delayProject supported by the National Natural Science Foundation of China (Grant No 60674026), the Key Project of Chinese Ministry of Education (Grant No 107058), the Jiangsu Provincial Natural Science Foundation of China (Grant No BK2007016) and the Jiangsu Provincial Program for Postgraduate Scientific Innovative Research of Jiangnan University (Grant No CX07B适应性同步化;滑行技术;混沌神经网络;时间延误robust adaptive synchronization, slide technique, chaotic neural networks, time-varying delayProject supported by the National Natural Science Foundation of China (Grant No 60674026), the Key Project of Chinese Ministry of Education (Grant No 107058), the Jiangsu Provincial Natural Science Foundation of China (Grant No BK2007016) and the Jiangsu Provincial Program for Postgraduate Scientific Innovative Research of Jiangnan University (Grant No CX07B_ 116z).
摘    要:In this paper, we focus on the robust adaptive synchronization between two coupled chaotic neural networks with all the parameters unknown and time-varying delay. In order to increase the robustness of the two coupled neural networks, the key idea is that a sliding-mode-type controller is employed. Moreover, without the estimate values of the network unknown parameters taken as an updating object, a new updating object is introduced in the constructing of controller. Using the proposed controller, without any requirements for the boundedness, monotonicity and differentiability of activation functions, and symmetry of connections, the two coupled chaotic neural networks can achieve global robust synchronization no matter what their initial states are. Finally, the numerical simulation validates the effectiveness and feasibility of the proposed technique.

关 键 词:适应性同步化  滑行技术  混沌神经网络  时间延误
收稿时间:5/1/2007 12:00:00 AM
修稿时间:9/3/2007 12:00:00 AM

Robust adaptive synchronization of chaotic neural networks by slide technique
Lou Xu-Yang and Cui Bao-Tong.Robust adaptive synchronization of chaotic neural networks by slide technique[J].Chinese Physics B,2008,17(2):520-528.
Authors:Lou Xu-Yang and Cui Bao-Tong
Institution:College of Communication and Control Engineering, Jiangnan University, Wuxi 214122, China; College of Communication and Control Engineering, Jiangnan University, Wuxi 214122, China;CSIRO Division of Mathematical and Information Sciences, University of Adelaide, Urrbrae 5064, Australia
Abstract:In this paper, we focus on the robust adaptive synchronization between two coupled chaotic neural networks with all the parameters unknown and time-varying delay. In order to increase the robustness of the two coupled neural networks, the key idea is that a sliding-mode-type controller is employed. Moreover, without the estimate values of the network unknown parameters taken as an updating object, a new updating object is introduced in the constructing of controller. Using the proposed controller, without any requirements for the boundedness, monotonicity and differentiability of activation functions, and symmetry of connections, the two coupled chaotic neural networks can achieve global robust synchronization no matter what their initial states are. Finally, the numerical simulation validates the effectiveness and feasibility of the proposed technique.
Keywords:robust adaptive synchronization  slide technique  chaotic neural networks  time-varying delay
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