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| GLOBAL ASYMPTOTIC STABILITY CONDITIONS OF DELAYED NEURAL NETWORKS | |
| 引用本文： | 周冬明 曹进德 张立明. GLOBAL ASYMPTOTIC STABILITY CONDITIONS OF DELAYED NEURAL NETWORKS[J]. 应用数学和力学(英文版), 2005, 26(3): 372-380. DOI: 10.1007/BF02440088 |
| 作者姓名： | 周冬明 曹进德 张立明 |
| 作者单位： | Department of Electronic Engineering，Fudan University，Shanghai 200433，P.R.China Department of Electronic Engineering，Yunnan University，Kunming 650091，P.R.China，Department of Applied Mathematics，Southeast University，Nanjing 210096，P.R.China，Department of Electronic Engineering，Fudan University，Shanghai 200433，P.R.China |
| 基金项目： | ProjectsupportedbytheNationalNaturalScienceFoundationofChina (No .60 1 71 0 3 6) |
| 摘 要： | 1 IntroductionandProblemEductionRecently,thestudiesofthestabilityforcellularneuralnetworks (CNNs)anddelayedcellularneuralnetworks (DCNNs)haveattractedattentionsofresearchersandseveralimportantresultshavebeenobtained .MostpapersdealtwithcompletelystableCNNsandDCNNsthataresuitableforimageprocessingapplications.CNNshavebeenwidelyappliedtoimageprocessing ,toprocessmovingimages,onemustintroducedelaysinthesignalstransmittedamongthecells.Buttimedelaysmayleadtoanoscillationphenomenonand ,furt… |
| 关 键 词： | 细胞神经网络 全局稳定性 不等矩阵 时滞 |
| 收稿时间： | 2003-04-28 |
Global asymptotic stability conditions of delayed neural networks |
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| Zhou Dong-ming Associate Professor, Doctor,Cao Jin-de,Zhang Li-ming Professor. Global asymptotic stability conditions of delayed neural networks[J]. Applied Mathematics and Mechanics(English Edition), 2005, 26(3): 372-380. DOI: 10.1007/BF02440088 | |
| Authors: | Zhou Dong-ming Associate Professor Doctor Cao Jin-de Zhang Li-ming Professor |
| Affiliation: | 1. Department of Electronic Engineering, Fudan University, Shanghai 200433, P.R.China;Department of Electronic Engineering, Yunnan University, Kunming 650091, P.R. China 2. Department of Applied Mathematics, Southeast University, Nanjing 210096, P.R. China 3. Department of Electronic Engineering, Fudan University, Shanghai 200433, P.R.China |
| Abstract: | Utilizing the Liapunov functional method and combining the inequality of matrices technique to analyze the existence of a unique equilibrium point and the global asymptotic stability for delayed cellular neural networks (DCNNs), a new sufficient criterion ensuring the global stability of DCNNs is obtained. Our criteria provide some parameters to appropriately compensate for the tradeoff between the matrix definite condition on feedback matrix and delayed feedback matrix. The criteria can easily be used to design and verify globally stable networks. Furthermore,the condition presented here is independent of the delay parameter and is less restrictive than that given in the references. |
| Keywords: | cellular neural network global stability inequality of matrix delay |
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