[公式省略]人随机进化博弈收敛的自触发控制

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-14 DOI:10.1016/j.cnsns.2025.109293

Xinling Li, Shihua Fu, Jianjun Wang, Fengxia Zhang

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引用次数: 0

摘要

为了实现n人随机进化博弈（REGs）的收敛性，设计了自触发控制方案。首先，利用矩阵的半张量积（STP），将n人REG转换为代数形式。其次，给出了n人REGs收敛问题的控制Lyapunov函数（CLF），并给出了CLF的构造算法。在此基础上，提出了n人REG能否以1的概率收敛到目标轮廓的充要条件。建立了一种状态反馈自触发控制的设计方案。最后，给出了一个算例来说明所得结果。

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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Self-triggered control for the convergence of n-person random evolutionary games

In this article, the self-triggered control scheme is designed to achieve the convergence of

n

-person random evolutionary games (REGs). Firstly, using the semi-tensor product (STP) of matrices, the

n

-person REG is converted to an algebraic form. Secondly, the control Lyapunov functions (CLFs) for the convergence problem of

n

-person REGs are presented, and an algorithm for the construction of a CLF is given. Moreover, a necessary and sufficient condition based on the CLF is proposed to detect whether an

n

-person REG can converge to a target profile with probability one. And a design scheme of state-feedback self-triggered controls (STCs) is established. Finally, an example is presented to illustrate the obtained 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.