A new approach to stability of neural networks with time-varying delays
文献类型：期刊论文
| 作者 | Peng,Jigen ; Qiao,Hong; Xu,Zongben
|
| 刊名 | Neural Networks
 |
| 出版日期 | 2002-01 |
| 卷号 | 15期号:1页码:95-103 |
| 关键词 | exponential stability hopfield-type neural networks minimal Lipschitz constant nonlinear Lipschitz measure time-varying delay |
| 通讯作者 | Peng,Jigen |
| 英文摘要 | The stability of neural networks is a prerequisite for successful applications of the networks as either associative memories or optimization solvers. Because the integration and communication delays are ubiquitous, the stability of neural networks with delays has received extensive attention. However, the approach used in the previous investigation is mainly based on Liapunov's direct method. Since the construction of Liapunov function is very skilful, there is little compatibility among the existing results. In this paper, we develop a new approach to stability analysis of Hopfield-type neural networks with time-varying delays by defining two novel quantities of nonlinear function similar to the matrix norm and the matrix measure, respectively. With the new approach, we present sufficient conditions of the stabliity, which are either the generalization of those existing or new. The developed approach may be also applied for any general system with time delays rather than Hopfield-type neural networks. |
| 源URL | [http://ir.ia.ac.cn/handle/173211/12599]  |
| 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 | Institute for Information and System Science, Faculty of Science, Xi'an Jiaotong University |
| 推荐引用方式 GB/T 7714 | Peng,Jigen,Qiao,Hong,Xu,Zongben. A new approach to stability of neural networks with time-varying delays[J]. Neural Networks,2002,15(1):95-103. |
| APA | Peng,Jigen,Qiao,Hong,&Xu,Zongben.(2002).A new approach to stability of neural networks with time-varying delays.Neural Networks,15(1),95-103. |
| MLA | Peng,Jigen,et al."A new approach to stability of neural networks with time-varying delays".Neural Networks 15.1(2002):95-103. |
入库方式： OAI收割
来源：自动化研究所
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