Some Theoretical Aspects of the Neural Network Approach to Stabilization of Switched Interval Systems

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2023-11-23 DOI:10.1134/s00122661230100099

A. S. Fursov, Yu. M. Mosolova

引用次数: 0

Abstract

We consider the problem of stabilization of a switched interval linear system with slow switchings that are inaccessible to observation. It is proposed to look for a solution in the class of variable structure controllers. To ensure the functionality of such a controller, it is necessary to construct an observer of the switching signal. This paper is devoted to some theoretical issues related to the period of quantization of the neural observer’s operating time.

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切换区间系统神经网络镇定的若干理论问题

考虑一类不可观测的切换区间线性系统的镇定问题。提出了在变结构控制器中寻找解的方法。为了保证这种控制器的功能，有必要构造一个开关信号的观测器。本文研究了神经观测器工作时间量化周期的一些理论问题。

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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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.