The exponential stability criteria for second-order neural networks with time-varying mixed delays and actuator faults

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-19 DOI:10.1016/j.cnsns.2025.109320

Yongfang Jin , Xingwu Liu , Lanfeng Hua , Shouming Zhong , Xingwen Liu

引用次数: 0

Abstract

This paper addresses the global exponential stability (GES) problem of second-order neural networks (SNNs) with time-varying discrete and distributed delays (mixed delays) in the presence of unknown actuator failures. By designing delay-independent state-feedback fault-tolerant controllers and employing the Lyapunov functional method, algebraic criteria are established to guarantee GES of the concerned SNNs. In contrast to matrix inequalities conditions, these criteria are more convenient to verify. Specifically, the cases of fast- and slowly-varying delays are separately considered. Moreover, the original second-order delayed differential equations are investigated directly without any transformation to first-order ones. Finally, two simulation examples illustrate the obtained results.

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具有时变混合延迟和执行器故障的二阶神经网络的指数稳定性准则

本文研究了具有时变离散和分布延迟（混合延迟）的二阶神经网络在未知执行器失效情况下的全局指数稳定性问题。通过设计与延迟无关的状态反馈容错控制器，采用Lyapunov泛函方法，建立了保证相关snn的GES的代数准则。与矩阵不等式条件相比，这些准则更便于验证。具体地说，分别考虑了快变延迟和慢变延迟的情况。此外，直接研究了原始二阶时滞微分方程，而不需要将其转化为一阶时滞微分方程。最后，通过两个仿真实例对所得结果进行了说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.