论 "超级扭曲 "算法中非线性参数的变化

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2023-12-29 DOI:10.1134/s00122661230110137

V. V. Fomichev, A. O. Vysotskii

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引用次数: 0

摘要

摘要我们研究了一种改进的（非线性参数变化）"超扭曲 "算法的稳定性。分析的基础是用经典 "超级扭转 "算法的系统轨迹大化任意非线性参数的系统轨迹。研究获得了修改后系统的稳定条件，以及取决于系统参数的稳定域大小的估计值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On the Variation of the Nonlinearity Parameter in the “Super-Twisting” Algorithm

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On the Variation of the Nonlinearity Parameter in the “Super-Twisting” Algorithm

Abstract

We study the stability of a modified (with variation in the nonlinearity parameter) “super-twisting” algorithm. The analysis is based on majorizing the trajectories of the system with an arbitrary nonlinearity parameter by the trajectories of systems of the classical “super-twisting” algorithm. Stability conditions for the modified systems are obtained, as well as estimates for the size of the stability domain depending on system parameters.

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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.