线性常微分方程系统优化控制问题的数值求解

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Russian Journal of Numerical Analysis and Mathematical Modelling Pub Date : 2024-08-07 DOI:10.1515/rnam-2024-0017

Ivan G. Chechkin, Kirill V. Demyanko, Yuri M. Nechepurenko

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引用次数: 0

摘要

本文提出了一种独创的数值矩阵算法，旨在解决具有常数系数的线性常微分方程系统的最优控制问题。该算法通过一个问题进行了演示，该问题包括在一个无限管道中通过吹气和吸气产生一个给定的 Poiseuille 流小扰动。对产生前导模式和最佳扰动的成本进行了比较，这也是我们感兴趣的地方。

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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Numerical solution of optimal control problems for linear systems of ordinary differential equations

An original numerical matrix algorithm aimed at solving the optimal control problems for linear systems of ordinary differential equations with constant coefficients is proposed. The work of the algorithm is demonstrated with the problem, which consists in generating a given small disturbance of the Poiseuille flow in an infinite duct by blowing and suction through the walls. The costs of creating the leading modes and optimal disturbances are compared, which is of independent interest.

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来源期刊

Russian Journal of Numerical Analysis and Mathematical Modelling 数学-工程：综合

CiteScore

1.40

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Russian Journal of Numerical Analysis and Mathematical Modelling, published bimonthly, provides English translations of selected new original Russian papers on the theoretical aspects of numerical analysis and the application of mathematical methods to simulation and modelling. The editorial board, consisting of the most prominent Russian scientists in numerical analysis and mathematical modelling, selects papers on the basis of their high scientific standard, innovative approach and topical interest. Topics: -numerical analysis- numerical linear algebra- finite element methods for PDEs- iterative methods- Monte-Carlo methods- mathematical modelling and numerical simulation in geophysical hydrodynamics, immunology and medicine, fluid mechanics and electrodynamics, geosciences.