局部可控性和最优性

IF 0.8 4区数学 Q2 MATHEMATICS Sbornik Mathematics Pub Date : 2021-01-01 DOI:10.1070/SM9434

E. R. Avakov, G. Magaril-Il'yaev

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引用次数: 1

摘要

对动态系统引入了局部可控性的概念;给出了这种可控性的充分条件。得到了一类最优控制问题存在局部最小值的必要条件。这些强化了庞特里亚金的极大原理，并将其推广到更一般的问题类别中。参考书目:8篇。

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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Local controllability and optimality

The concept of local controllability is introduced for a dynamical system; sufficient conditions for such controllability are presented. As a consequence, necessary conditions for a local infimum in an optimal control problem are obtained. These strengthen Pontryagin’s maximum principle and extend it to more general classes of problems. Bibliography: 8 titles.

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来源期刊

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis

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