时间尺度上具有时变时滞的Wilson-Cowan网络周期解的指数稳定性

Adv. Artif. Neural Syst. Pub Date : 2014-01-01 DOI:10.1155/2014/750532

Jinxiang Cai, Zhenkun Huang, Honghua Bin

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引用次数: 0

摘要

给出了时滞Wilson-Cowan网络在时间尺度上的稳定性分析。利用时间尺度上的微积分理论、收缩映射原理和Lyapunov泛函，得到了系统周期解存在性和指数稳定性的新的充分条件。所得结果具有普遍性，可应用于离散时间或连续时间Wilson-Cowan网络。

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Exponential Stability of Periodic Solution to Wilson-Cowan Networks with Time-Varying Delays on Time Scales

We present stability analysis of delayed Wilson-Cowan networks on time scales. By applying the theory of calculus on time scales, the contraction mapping principle, and Lyapunov functional, new sufficient conditions are obtained to ensure the existence and exponential stability of periodic solution to the considered system. The obtained results are general and can be applied to discrete-time or continuous-time Wilson-Cowan networks.

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Adv. Artif. Neural Syst.

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