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基于区间化连接矩阵的时滞动态神经网络的新全局渐近鲁棒稳定性

New Global Asymptotic Robust Stability of Dynamical Delayed Neural Networks via Intervalized Interconnection Matrices

IEEE Transactions on Cybernetics · 2021
被引 34
ABS 3

中文导读

针对参数不确定的时滞动态神经网络,提出一种新的区间化连接矩阵上界范数,结合Lyapunov泛函和斜率有界激活函数,给出全局渐近鲁棒稳定的充分条件,并通过数值算例验证有效性。

Abstract

This article identifies a new upper bound norm for the intervalized interconnection matrices pertaining to delayed dynamical neural networks under the parameter uncertainties. By formulating the appropriate Lyapunov functional and slope-bounded activation functions, the derived new upper bound norms provide new sufficient conditions corresponding to the equilibrium point of the globally asymptotic robust stability with respect to the delayed neural networks. The new upper bound norm also yields the optimized minimum results as compared with some existing methods. Numerical examples are given to demonstrate the effectiveness of the proposed results obtained through the new upper bound norm method.

神经网络稳定性分析时滞系统鲁棒控制