Stability of stochastic time-varying delay continuous system uniting event trigger switching control

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-02-26 DOI:10.1016/j.cnsns.2025.108703

Zhenyue Wang , Quanxin Zhu

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引用次数: 0

Abstract

The main objective of this article is to discuss the problem of finite-time stochastic input-to-state stability for a kind of stochastic delay continuous system with time-varying delay. By applying Lyapunov-Razumikhin functions as candidate functions, several sufficient criteria to ensure system stability are established. Different from the content of previous achievements, the event trigger switching control is investigated in the switching behavior among subsystems in this article. Further, the Zeno phenomenon is ruled out, that is, the gap between any adjacent switching points should be greater than a positive constant. Compared with the time trigger switching control, the advantage of the event trigger switching control is that the target system undergoes switching behavior when the event trigger conditions are satisfied. Moreover, the delay factor of continuous subsystems is contained within event trigger conditions to determine the switching time. Finally, two numerical simulations are displayed to validate our results.

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结合事件触发开关控制的随机时变延迟连续系统的稳定性

本文的主要目的是讨论一类具有时变时滞的随机时滞连续系统的有限时间随机输入状态稳定性问题。采用Lyapunov-Razumikhin函数作为候选函数，建立了保证系统稳定性的几个充分准则。与以往研究成果的内容不同，本文研究了子系统间切换行为的事件触发切换控制。进一步，排除芝诺现象，即任何相邻开关点之间的间隙应大于正常数。与时间触发切换控制相比，事件触发切换控制的优点是当事件触发条件满足时，目标系统才会发生切换行为。此外，将连续子系统的延迟因子包含在事件触发条件中，以确定切换时间。最后，给出了两个数值模拟来验证我们的结果。

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.