Stability analysis for a class of impulsive competitive neural networks with leakage time-varying delays  

作　　者：AOUITI Chaouki ASSALI El Abed CAO Jin De ALSAEDI Ahmed 

机构地区：[1]Facuity of Sciences of Bizerta, Department of Mathematics, Research Units of Mathematics and Applications, UR13ES47, University of Carthage, Bizerta 7021, Tunisia [2]School of Mathematics, Southeast University, Nanjing 210096, China [3]School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China [4]Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

出　　处：《Science China(Technological Sciences)》2018年第9期1384-1403,共20页中国科学（技术科学英文版）

摘　　要：In this paper, we consider the existence, the uniqueness, the global exponential stability, the global asymptotic stability, the uniform asymptotic stability and the uniform stability of the equilibrium point of impulsive competitive neural networks with distributed delays and leakage time-varying delays. The existence of a unique equilibrium point is proved by using Brouwer's fixed point theorem. By finding suitable Lyapunov-Krasovskii functional, some sufficient conditions are derived ensuring some kinds of stability. Finally, several examples and their simulations are given to illustrate the effectiveness of the obtained results.

关 键 词：competitive neural networks leakage delay asymptotic stability global exponential stability IMPULSE 

分 类 号：O175[理学—数学] TP183[理学—基础数学]