合成最佳稳定仿射系统

IF 0.7 4区数学 Q3 MATHEMATICS, APPLIED

Computational Mathematics and Mathematical Physics Pub Date : 2024-04-01 DOI:10.1134/s0965542524020039

L. T. Ashchepkov

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引用次数: 0

摘要

摘要提出了一种构建反馈的方法，以确保仿射系统的轨迹能吸引到平衡状态和给定流形。该反馈以解析形式作为辅助最优控制问题的解被找到。给出了最优控制存在的充分条件。讨论了所提方法在一些线性和非线性系统中的应用。

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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Synthesis of an Optimal Stable Affine System

Abstract

A method for constructing a feedback that ensures the attraction of trajectories of an affine system to an equilibrium state and to a given manifold is proposed. The feedback is found in an analytical form as a solution to an auxiliary optimal control problem. Sufficient conditions for the existence of the optimal control are given. Application of the proposed method to some classes of linear and nonlinear systems is discussed.

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来源期刊

Computational Mathematics and Mathematical Physics MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL

CiteScore

1.50

自引率

14.30%

发文量

125

审稿时长

4-8 weeks

期刊介绍： Computational Mathematics and Mathematical Physics is a monthly journal published in collaboration with the Russian Academy of Sciences. The journal includes reviews and original papers on computational mathematics, computational methods of mathematical physics, informatics, and other mathematical sciences. The journal welcomes reviews and original articles from all countries in the English or Russian language.