An Approach Problem for Control Systems Based on Runge-Kutta Methods

被引：0

作者：

Cui, Yan ^{[1
]}

Yu, Yang ^{[1
]}

Liu, Yanshan ^{[1
]}

Hao, Xinran ^{[1
]}

Gao, Hongwei ^{[1
]}

机构：

[1] Qingdao Univ, Sch Math & Stat, Qingdao 266071, Shandong, Peoples R China

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2024年 / 64卷 / 09期

基金：

中国国家自然科学基金;

关键词：

approach problem; control systems; solvability sets; Runge-Kutta methods;

D O I：

10.1134/S0965542524701161

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper explores nonlinear control systems within a finite dimensional Euclidean space. To guide the system towards a compact set at a specific time instant, the approach presented in this paper relies on the construction of approximate solvability sets. The Runge-Kutta methods, coupled with distance clustering, is employed to construct these approximate solvability sets. Simultaneously, the corresponding controls are recorded. The effectiveness of our theoretical results is demonstrated through simulation results.

引用

页码：1991 / 2004

页数：14

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