Multistability in a class of stochastic Hopfield neural networks

摘要：

　　In this paper,the problem of multistability analysis for a class of stochastic Hopfield neural networks is considered.By utilizing the properties of activation functions and applying Schauders fixed-point theorem,a sufficient condition for the existence of multiple equilibria is derived.Then applying stochastic analysis technique and Lyapunov approach,a criterion is established for ensuring these equilibria to be locally exponentially stable in mean square.Estimation of positively invariant sets with probability 1 and basins of attraction for these equilibria are also obtained.Finally,an example is given to show the effectiveness of the derived results.

关键词： Stochastic Hopfield neural networks Multistability Mean square exponential stability Invariant set

作者: Wu-hua Chen Shixian Luo Xiaomei Lu

作者单位: College of Mathematics and Information Science,Guangxi University,Nanning,530004,P.R.China;School of College of Mathematics and Information Science,Guangxi University,Nanning,530004,P.R.China

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 5259-5264

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）