Exponential stability of Cohen-Grossberg-type BAM neural networks with time-varying delays via impulsive control | |
Li, Xiaodi ; Li XD(李晓迪) | |
刊名 | http://dx.doi.org/10.1016/j.neucom.2009.04.022 |
2009-12 | |
关键词 | BIDIRECTIONAL ASSOCIATIVE MEMORIES DISTRIBUTED DELAYS PERIODIC-SOLUTION ASYMPTOTIC STABILITY GLOBAL STABILITY EXISTENCE COEFFICIENTS CRITERION |
英文摘要 | In this paper, a class of Cohen-Grossberg-type BAM neural networks with time-varying delays are studied. Some sufficient conditions are established for the existence, uniqueness and exponential stability of the equilibrium point by using Lyapunov functionals, the analysis method and impulsive control. Here we point out that our result, which is different from previous known results, shows that the unstable Cohen-Grossberg-type BAM neural networks with time-varying delays can be exponentially stabilized via impulsive control. Moveover, the estimate of the exponential convergence rate is also obtained, which depends on the system parameters. Finally, an illustrative example is given to show the effectiveness of the proposed method and result. (C) 2009 Elsevier B.V. All rights reserved. |
语种 | 英语 |
出版者 | NEUROCOMPUTING |
内容类型 | 期刊论文 |
源URL | [http://dspace.xmu.edu.cn/handle/2288/90985] |
专题 | 数学科学-已发表论文 |
推荐引用方式 GB/T 7714 | Li, Xiaodi,Li XD. Exponential stability of Cohen-Grossberg-type BAM neural networks with time-varying delays via impulsive control[J]. http://dx.doi.org/10.1016/j.neucom.2009.04.022,2009. |
APA | Li, Xiaodi,&李晓迪.(2009).Exponential stability of Cohen-Grossberg-type BAM neural networks with time-varying delays via impulsive control.http://dx.doi.org/10.1016/j.neucom.2009.04.022. |
MLA | Li, Xiaodi,et al."Exponential stability of Cohen-Grossberg-type BAM neural networks with time-varying delays via impulsive control".http://dx.doi.org/10.1016/j.neucom.2009.04.022 (2009). |
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