Stability of periodic solutions of periodic cellular neural networks with delays and impulsive perturbations

Kai‐Hua Wang, Yushu Sun, Zhanji Gui · 2017

In this paper, we consider the dynamics of an artificial periodic cellular neural networks with time delays and impulsive control. Sufficient conditions are obtained for the stability of a unique periodic solution. The results extend earlier ones where impulse is absent. Further, the influences of the impulsive effect are investigated by using computer simulation method. These results are helpful to design globally asymptotically stable and periodic oscillatory cellular neural networks with time delay and impulsive perturbations.

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