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

IF 3.4 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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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.