有限时间区间内非线性控制系统的逼近问题

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI:10.1016/j.jappmathmech.2017.08.005

A.R. Matviychuk, V.I. Ukhobotov, A.V. Ushakov, V.N. Ushakov

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引用次数: 3

摘要

研究了在有限时间区间内限定在欧氏空间中的非线性控制系统。研究了目标集在有限时间区间内被控系统的逼近问题。给出了该问题解的近似计算算法。考虑了“飞轮摆”控制机械系统的一个说明性例子。

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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The approach problem of a nonlinear controlled system in a finite time interval

A nonlinear controlled system in Euclidean space, which is specified in a finite time interval, is considered. The approach problem of a controlled system with a target set in a finite time interval is studied. An algorithm for an approximate calculation of the solution of the problem is presented. An illustrative example of a “flywheel–pendulum” controlled mechanical system is considered.

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来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.