Attraction Region and Stability Analysis of Cohen-Grossberg Neural Networks
In this paper, exponential stability (local exponential stability and global exponential stability) is analyzed for Cohen-Grossberg neural networks. Simple sufficient conditions in form of matrix measure are derived for ascertaining the local exponential stability or the global exponential stability for Cohen-Grossberg neural networks. Moreover, for locally exponentially stable equilibrium point, its attraction region is estimated; for the globally exponentially stable equilibrium point, its convergence rate is assessed. The proposed results can be used for the evaluation of fault-tolerance capability and the estimation of exponential decay rate of the networks, hence they are of practical significance for designing Cohen-Grossberg neural networks.
Cohen-Grossberg neural network Local exponential stability Global exponential stability Attraction region Exponential convergence rate Matrix measure
Kun Yuan Shumin Fei Jinde Cao
School of Automation, Southeast University, Nanjing 210096, China Department of Mathematics, Southeast University, Nanjing 210096, China
国际会议
The 31st Chinese Control Conference(第三十一届中国控制会议)
合肥
英文
3346-3351
2012-07-01（万方平台首次上网日期，不代表论文的发表时间）