Nonlinear measures: A new approach to exponential stability analysis for Hopfield-type neural networks
文献类型：期刊论文
| 作者 | Qiao, H ; Peng, J; Xu, ZB
|
| 刊名 | IEEE TRANSACTIONS ON NEURAL NETWORKS
 |
| 出版日期 | 2001-03 |
| 卷号 | 12期号:2页码:360-370 |
| 关键词 | global exponential stability Hopfield-type neural networks local exponential stability matrix measure nonlinear measures |
| 通讯作者 | Qiao, H |
| 英文摘要 | In this paper, a new concept called nonlinear measure is introduced to quantify stability of nonlinear systems in the way similar to the matrix measure for stability of linear systems. Based on the new concept, a novel approach for stability analysis of neural networks is developed. With this approach, a series of new sufficient conditions for global and focal exponential stability of Hopfield type neural networks is presented, which generalizes those existing results. By means of the introduced nonlinear measure, the exponential convergence rate of the neural networks to stable equilibrium point is estimated, and, for local stability, the attraction region of the stable equilibrium point is characterized. The developed approach tan be generalized to stability analysis of other general nonlinear systems. |
| 源URL | [http://ir.ia.ac.cn/handle/173211/12583]  |
| 专题 | 自动化研究所_复杂系统管理与控制国家重点实验室_机器人应用与理论组 |
| 作者单位 | City Univ Hong Kong, Dept Mfg Engn & Engn Management |
| 推荐引用方式 GB/T 7714 | Qiao, H,Peng, J,Xu, ZB. Nonlinear measures: A new approach to exponential stability analysis for Hopfield-type neural networks[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS,2001,12(2):360-370. |
| APA | Qiao, H,Peng, J,&Xu, ZB.(2001).Nonlinear measures: A new approach to exponential stability analysis for Hopfield-type neural networks.IEEE TRANSACTIONS ON NEURAL NETWORKS,12(2),360-370. |
| MLA | Qiao, H,et al."Nonlinear measures: A new approach to exponential stability analysis for Hopfield-type neural networks".IEEE TRANSACTIONS ON NEURAL NETWORKS 12.2(2001):360-370. |
入库方式： OAI收割
来源：自动化研究所
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