脉冲对神经网络动态行为的影响是多方面的,它可能使不稳定系统稳定化,也可能使得稳定的网络产生震荡甚至出现混沌。讨论脉冲对时滞细胞神经网络指数稳定性的镇定影响。运用Lyapunov函数,建立确保脉冲系统的全局指数稳定的充分条件。发现即使初始系统(不带脉冲)发散,脉冲系统仍能因为有适当的脉冲而保持全局指数稳定。数值例子说明了理论分析的正确性。
Impulse effects on system stability are complex; namely, impulse may stabilize a system, or drive a stable system to oscillation or even chaos. We investigated he stability of impulsive cellular neural networks with time delays. By using Lyapunov functions, several conditions guaranteeing the global exponential stability of a system are established. It is shown that even if the impulse-free system is unstable, the impulsive system can be globally asymptotically stable if the impulses satisfy the conditions. A numerical example is given to illustrate the correctness of the theoretical analysis.