基于Gronwall积分不等式的比例时滞神经网络稳定性分析

Abstract

Abstract:

When people study time-delay neural network, structuring Lyapunov function is usually used to analyze the stability of the system. In this paper, we study the stability of a class of neural network with proportional delay by using Gronwall integral inequalities, and obtain the new criterion of global exponential stability of Hopfield neural network and its proportional delay system. Finally, we demonstrate the validity of the results by an numerical example.

Key words: Gronwall integral inequalities, Hopfield neural networks, Proportional delay, Exponential stability

CLC Number:

O175

Xingshou Huang,Ricai Luo,Wusheng Wang. Stability Analysis for a Class Neural Network with Proportional Delay Based on the Gronwall Integral Inequality[J].Acta mathematica scientia,Series A, 2020, 40(3): 824-832.

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References 29

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Stability Analysis for a Class Neural Network with Proportional Delay Based on the Gronwall Integral Inequality

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