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一类含有分布时滞的非自治细胞神经网络的全局指数稳定性
Global Exponential Stability of Non-autonomous Cellular Neutral Network Models with Distributed Delays
【摘要】 研究一类具有分布时滞的非自治细胞神经网络的全局指数稳定性,通过建立一个新的微分-积分不等式,并将其运用到非自治细胞神经网络的稳定性研究中,从而得到全局指数稳定性的充分判别准则.结论较以往的文献结果,更具一般性,适用范围更广.最后,通过实例说明所获结论的可行性和优越性.
【Abstract】 In this paper,we investigate the global exponential stability of non-autonomous cellular neural networks with distributed delays. We establish a new differential-integro inequality and use it in the investigation the stability of cellular neural networks to obtain a sufficient condition for the global exponential stability for the considered system. Our results improve the known results in the literature. Finally,an example is given to illustrate the effectiveness and superiority of our conclusion
【关键词】 细胞神经网络;
非自治;
全局指数稳定;
微分-积分不等式;
分布时滞.;
【Key words】 cellular neural network; non-autonomous; global exponential stability; differential-integro inequality; distributed delays;
【Key words】 cellular neural network; non-autonomous; global exponential stability; differential-integro inequality; distributed delays;
【基金】 四川省教育厅创新团队项目(16TD0029)
- 【文献出处】 四川师范大学学报(自然科学版) ,Journal of Sichuan Normal University(Natural Science) , 编辑部邮箱 ,2017年06期
- 【分类号】O175
- 【下载频次】75