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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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