摘要
研究一类混杂型离散时间脉冲时滞Hopfield神经网络的多稳定性问题。首先,运用Brouwer不动点定理,证明所考虑的脉冲时滞神经网络具有多个平衡点。然后,引入Lyapunov函数,运用不等式分析技术,建立脉冲离散时滞Hopfield神经网络多稳定性判别准则,并给出平衡点吸引域的估计。最后,通过数值实例仿真验证结果的有效性。
The multistability problem of a class of hybrid discrete-time impulsive Hopfield-type neural networks with de-lays is studied.First,by applying Brouwer fixed point theorem,it is proved that the impulsive delayed neural networks un-der consideration possess multiple equilibriums.Then a Lyapunov function based method combined with inequality based a-nalysis techniques is developed to establish a criterion for multistability of hybrid impulsive discrete-time Hopfield-type neu-ral networks with multiple equilibriums.Additionally,the estimates on the domains of attraction of stable equilibriums are provided.Finally,a numerical example is given to illustrate the effectiveness of the derived results.
出处
《计算技术与自动化》
2014年第1期14-18,共5页
Computing Technology and Automation
基金
国家自然科学基金资助项目(61164016)
广西自然科学基金重点项目(2013GXNSFDA019003)
广西自然科学基金资助项目(2011GXNSFA018141)
