关于具有分布参数的非线性方程的位置控制问题

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2023-12-29 DOI:10.1134/s00122661230110071

V. I. Maksimov

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引用次数: 0

摘要

摘要我们考虑的是扩散型非线性分布方程的保证控制问题。该问题的实质是构建一种反馈控制算法，确保给定方程的解与受到未知扰动的类似方程的解相一致。我们研究了非连续无约束函数可以作为可行扰动的情况。我们在离散时刻对每个方程的解进行不精确测量的条件下解决了这一问题，并指出了一种在信息噪声和计算误差下稳健的求解算法。

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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On a Positional Control Problem for a Nonlinear Equation with Distributed Parameters

Abstract

We consider a guaranteed control problem for a nonlinear distributed equation of diffusion type. The problem is essentially to construct a feedback control algorithm ensuring that the solution of a given equation tracks the solution of a similar equation subjected to an unknown disturbance. The case in which a discontinuous unbounded function can be a feasible disturbance is studied. We solve the problem under conditions of inaccurate measurement of solutions of each of the equations at discrete instants of time and indicate a solution algorithm robust under information noise and calculation errors.

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来源期刊

Differential Equations 数学-数学

CiteScore

1.30

自引率

33.30%

发文量

审稿时长

3-8 weeks

期刊介绍： Differential Equations is a journal devoted to differential equations and the associated integral equations. The journal publishes original articles by authors from all countries and accepts manuscripts in English and Russian. The topics of the journal cover ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. The journal is published in collaboration with the Department of Mathematics and the Division of Nanotechnologies and Information Technologies of the Russian Academy of Sciences and the Institute of Mathematics of the National Academy of Sciences of Belarus.