考虑到计算机系统验证的非线性静态系统控制局部边界值问题解法

IF 0.4 Q4 MATHEMATICS

Vestnik St Petersburg University-Mathematics Pub Date : 2024-05-20 DOI:10.1134/s1063454124700055

A. N. Kvitko, N. N. Litvinov

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引用次数: 0

摘要

摘要在这项工作中，考虑到验证计算机系统可操作性的可能性，提出了一种构建控制函数的算法，该函数提供了一大类静态非线性可控常微分方程系统从初始状态到坐标原点的过渡。找到了确保集合问题解存在的建设性充分条件。通过对一个具体实际问题的数值建模，展示了该算法的效率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Solution of the Local-Boundary-Value Problem of Control for a Nonlinear Stationary System Taking into Account Computer System Verification

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Solution of the Local-Boundary-Value Problem of Control for a Nonlinear Stationary System Taking into Account Computer System Verification

Abstract

In this work, an algorithm is suggested to construct the control function that provides the transition of a broad class of stationary nonlinear controllable systems of ordinary differential equations from the initial state to the origin of coordinates taking into account the possibility of verification of the operability of computer systems. Constructive sufficient conditions ensuring the existence of a solution to the set problem are found. The efficiency of the algorithm is shown by the numerical modeling of a specific practical problem.

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来源期刊

Vestnik St Petersburg University-Mathematics MATHEMATICS-

CiteScore

0.70

自引率

50.00%

发文量

期刊介绍： Vestnik St. Petersburg University, Mathematics is a journal that publishes original contributions in all areas of fundamental and applied mathematics. It is the prime outlet for the findings of scientists from the Faculty of Mathematics and Mechanics of St. Petersburg State University. Articles of the journal cover the major areas of fundamental and applied mathematics. The following are the main subject headings: Mathematical Analysis; Higher Algebra and Numbers Theory; Higher Geometry; Differential Equations; Mathematical Physics; Computational Mathematics and Numerical Analysis; Statistical Simulation; Theoretical Cybernetics; Game Theory; Operations Research; Theory of Probability and Mathematical Statistics, and Mathematical Problems of Mechanics and Astronomy.