摘要
使用不等式和李雅普诺夫函数方法,在简洁的假设条件下得到一类变时滞变系数的神经网络 模型周期解的存在唯一性与全局指数稳定性的结论.最后,用一个具体例子验证了理论的正确性.
In this letter, by using the inequality method and the Lyapunov functional method, we have analyzed the globally exponential stability and the existence of periodic solutions of a class of cellular neutral networks with delays and variable coefficients. Some simple and new sufficient conditions ensuring the existence and uniqueness of globally exponential stability of periodic solutions for cellular neutral networks with variable coefficients and delays are obtained. In addition, one example is also worked out to illustrate our theory.
出处
《兰州大学学报(自然科学版)》
CAS
CSCD
北大核心
2005年第6期115-118,共4页
Journal of Lanzhou University(Natural Sciences)
关键词
不等式
全局指数稳定性
周期解
时滞
李雅普诺夫函数
inequality method
global exponential stability
periodic solution
delays
Lyapunov function