多比例时滞细胞神经网络的全局一致渐近稳定性  

Global Uniform Asymptotic Stability of Cellular Neural Networks with Mutli-Porportional Delays

作　　者：周立群[1] 

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《电子科技大学学报》2013年第4期625-629,共5页Journal of University of Electronic Science and Technology of China

基　　金：国家自然科学基金(60974144);天津市高等学校科技发展基金(20100813)

摘　　要：对一类具多比例时滞细胞神经网络进行研究,利用变换()()t i i z t y e,将具多比例时滞细胞神经网络变换成变系数常时滞的细胞神经网络。通过构造合适的Lyapunov泛函,给出了几个保证该系统全局一致渐近稳定的时滞独立的充分条件,并给出例子验证所得结论的正确性。A class of cellular neural networks with multi-proportional delays is studied in this paper. The transformation zi （t） = yi （e＇） transforms cellular neural networks with multi-proportional delays into cellular neural networks with variable coefficient and constant delays, and then constructing Lyapunov funetionals, some delay-independent sufficient conditions are given. These new sufficient conditions can ensure global uniform asymptotic stability of this system. An example is given to illustrate the correctness of obtained results.

关 键 词：细胞神经网络 全局一致渐近稳定性 比例时滞 

分 类 号：O175.13[理学—数学] TP183[理学—基础数学]