| 基于LMI技术的两个神经元的时滞混沌神经网络的耦合延迟同步研究 |
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| 引用本文： | 李博, 杨丹, 张小洪, 马丽涛. 基于LMI技术的两个神经元的时滞混沌神经网络的耦合延迟同步研究. 自动化学报, 2007, 33(11): 1196-1199. doi: 10.1360/aas-007-1196 |
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| 作者姓名： | 李博 杨丹 张小洪 马丽涛 |
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| 作者单位： | 1.College of Mathematics and Physics, Chongqing University, Chongqing 400044, P.R.China;;2.College of Software Engineering, Chongqing University, Chongqing 400044, P.R.China |
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| 基金项目： | 国家自然科学基金;重庆市自然科学基金 |
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| 摘 要： | In this paper, the chaotic lag synchronization of coupled time-delayed systems with two neurons is investigated. We analyze the asymptotic stability for the error dynamical system based on Lyapunov method and linear matrix inequality (LMI) technique. Some new sufficient conditions for determining the lag synchronization between the coupling systems are derived. Above all, we skillfully shift our criterion which is expressed in terms of LMI into the generalized eigenvalue minimization programming (GEVP) for the first time. The minimum of coupling strength is obtained successfully. A numerical experiment illustrates the effectiveness and advantage of our results.
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| 关 键 词： | Lag synchronization chaos delayed neural system linear matrix inequality (LMI) generalized eigenvalue minimization programming (GEVP) |
| 收稿时间： | 2006-12-13 |
| 修稿时间： | 2006-12-13 |
Chaotic Lag Synchronization of Coupled Time-delayed Neural Networks with Two Neurons Using LMI Approach |
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| LI Bo, YANG Dan, ZHANG Xiao-Hong, MA Li-Tao. Chaotic Lag Synchronization of Coupled Time-delayed Neural Networks with Two Neurons Using LMI Approach. ACTA AUTOMATICA SINICA, 2007, 33(11): 1196-1199. doi: 10.1360/aas-007-1196 |
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| Authors: | LI Bo YANG Dan ZHANG Xiao-Hong MA Li-Tao |
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| Affiliation: | 1. College of Mathematics and Physics, Chongqing University, Chongqing 400044, P.R.China;;;2. College of Software Engineering, Chongqing University, Chongqing 400044, P.R.China |
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| Abstract: | In this paper,the chaotic lag synchronization of coupled time-delayed systems with two neurons is investigated. We analyze the asymptotic stability for the error dynamical sys- tem based on Lyapunov method and linear matrix inequality (LMI)technique.Some new sufficient conditions for determin- ing the lag synchronization between the coupling systems are derived.Above all,we skillfully shift our criterion which is ex- pressed in terms of LMI into the generalized eigenvalue mini- mization programming(GEVP)for the first time.The mini- mum of coupling strength is obtained successfully.A numerical experiment illustrates the effectiveness and advantage of our re- sults. |
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| Keywords: | Lag synchronization chaos delayed neural system linear matrix inequality (LMI) generalized eigenvalue minimization programming (GEVP) |
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