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Global Exponential Stability and Existence of Periodic Solution of Impulsive Cohen-Grossberg Neural Networks with Distributed Delays on Time Scales

机译:具时标分布时滞的脉冲Cohen-Grossberg神经网络的全局指数稳定性和周期解的存在性

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摘要

On time scales, by using the continuation theorem of coincidence degree theory, M-matrix theory and constructing some suitable Lyapunov functions, some sufficient conditions are obtained for the existence and exponential stability of periodic solutions of impulsive Cohen-Grossberg neural networks with distributed delays, which are new and complement of previously known results. Finally, an example is given to illustrate the effectiveness of our main results.
机译:在时间尺度上,通过使用重合度理论,M-矩阵理论的连续性定理,并构造一些合适的Lyapunov函数,为具有分布时滞的脉冲Cohen-Grossberg神经网络的周期解的存在性和指数稳定性获得了一些充分的条件,这是新的,是对先前已知结果的补充。最后,给出一个例子来说明我们主要结果的有效性。

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