关于两个耦合控制倒立摆在随机扰动下的镇定问题

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-09-18 DOI:10.1016/j.aml.2025.109763

Leonid Shaikhet

引用次数: 0

摘要

为了引起读者的注意，本文给出了在白噪声和泊松跳相结合的随机扰动下受控倒立摆稳定的两个已知定理。作为未解决的问题，本文将这些定理推广到描述两个耦合控制倒立摆的数学模型中。

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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About unsolved problems in stabilization of two coupled controlled inverted pendulums under stochastic perturbations

To readers attention two known theorems on the stabilization of a controlled inverted pendulum under stochastic perturbations in the form of a combination of white noise and Poisson’s jumps are presented. As unsolved problems, a generalization of these theorems is proposed for a mathematical model, described two coupled controlled inverted pendulums.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.