基于稳定性理论中的LaSalle不变原理研究了细胞神经网络解的渐进行为 ,定义了解轨线稳定的概念 ,给出了判定系统解轨线稳定的两个充分条件 ,并对有关文献中存在的不妥之处进行了讨论 ,比较了细胞神经网络稳定性研究中广泛使用的全局渐近稳定与完全稳定这两种稳定性的差别 ,所得结果推广了目前已有的一些结论并对网络的硬件实现具有一定的指导作用 Based on the LaSalle invariance principle in stability theory, the asymptotic behavior of cellular neural network solution is studied. The concept of solution of the stability of the trajectory is defined. Two sufficient conditions for determining the stability of the solution trajectory are given. The existence of The differences between the two kinds of stability, global asymptotic stability and complete stability, which are widely used in the study of cellular neural network stability are compared. The obtained results generalize some of the existing conclusions and analyze the hardware of the network To achieve a certain degree of guiding role