混合时滞非线性系统的全局指数输入-状态稳定性分析

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-06-05 DOI:10.1016/j.cnsns.2025.109015

Jinbao Lan , Chunyan Liu , Xin Wang

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引用次数: 0

摘要

本文提出了一种分析一类同时受无界分布时滞和时变中性时滞和传输时滞影响的非线性系统全局指数输入状态稳定性的新方法。新方法避免了构造Lyapunov-Krasovskii广义泛函。通过两个算例验证了所得结果的有效性。值得注意的是，本研究首次提出了考虑的非线性系统的全局指数输入到状态稳定性分析，并引入了一种基于系统解的新方法。

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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Global exponential input-to-state stability analysis of nonlinear systems with mixed time delays

This research introduces a novel approach to analyze global exponential input-to-state stability for a category of nonlinear systems affected simultaneously by both unbounded distributed delays and time-varying neutral and transmission delays. The new method avoids constructing Lyapunov–Krasovskii generalized functionals. We verify the validity of the obtained results with two numerical examples. Notably, this study is the first to present a global exponential input-to-state stability analysis for the nonlinear system under consideration and introduce a novel method based on system solutions.

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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.