反馈分类和最优控制，应用于受控洛特卡-沃尔特拉模型

IF 1.6 3区数学 Q2 MATHEMATICS, APPLIED

Optimization Pub Date : 2024-08-22 DOI:10.1080/02331934.2024.2392209

Bernard Bonnard, Jérémy Rouot

引用次数: 0

摘要

让 M 是维数 n≥2 的 σ-紧密 C∞ 流形，并考虑一个单输入控制系统：x˙(t)=X(x(t))+u(t)Y(x(t))，其中 X、Y 是 M 上的 C∞ 向量域。

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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Feedback classification and optimal control with applications to the controlled Lotka–Volterra model

Let M be a σ-compact C∞ manifold of dimension n≥2 and consider a single-input control system: x˙(t)=X(x(t))+u(t)Y(x(t)), where X, Y are C∞ vector fields on M. We prove that there exists an open set...

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来源期刊

Optimization 数学-应用数学

CiteScore

4.50

自引率

9.10%

发文量

146

审稿时长

4.5 months

期刊介绍： Optimization publishes refereed, theoretical and applied papers on the latest developments in fields such as linear, nonlinear, stochastic, parametric, discrete and dynamic programming, control theory and game theory. A special section is devoted to review papers on theory and methods in interesting areas of mathematical programming and optimization techniques. The journal also publishes conference proceedings, book reviews and announcements. All published research articles in this journal have undergone rigorous peer review, based on initial editor screening and anonymous refereeing by independent expert referees.