New Results for Impulsive Recurrent Neural Networks with Time-Varying Coefficients and Mixed Delays

作者:Chaouki Aouiti, Mohammed Salah M’hamdi, Farouk Chérif

摘要

In this paper, we shall explain a new result concerning piecewise weighted pseudo almost-periodic solution of impulsive recurrent neural networks with time-varying coefficients and mixed delays. Precisely, some sufficient conditions are given to prove the existence and the exponential stability of piecewise weighted pseudo almost-periodic solution by employing fixed point theorem, generalized Gronwall–Bellman inequality and differential inequality techniques. Finally, an illustrative example is given to demonstrate the effectiveness of our results.

论文关键词:Piecewise weighted pseudo almost-periodic function, Impulsive recurrent neural networks, Mixed delays, Generalized Gronwall–Bellman inequality

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论文官网地址:https://doi.org/10.1007/s11063-017-9601-y