自治拟线性约束微分系统的局部正规型

Q3 Engineering Advances in Systems Science and Applications Pub Date : 2020-03-31 DOI:10.25728/ASSA.2020.20.1.866

A. Kotyukov, S. Nikanorov, N. Pavlova

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引用次数: 1

摘要

本文研究了自治拟线性约束微分系统(也称为微分代数方程)的僵局(奇异)点。对这种系统的兴趣是由它们在各种纯数学和应用数学问题中的应用所激发的，包括控制理论、生物学和电气工程。建立了这类系统在其僵局点附近的局部范式。

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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Local Normal Forms of Autonomous Quasi-Linear Constrained Differential Systems

The paper presents a study of impasse (singular) points of autonomous quasi-linear constrained differential systems, also called differential-algebraic equations. The interest in such systems is motivated by their applications in various problems of pure and applied mathematics, including control theory, biology, and electric engineering. Local normal forms of such systems in a neighborhood of their impasse points are established.

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来源期刊

Advances in Systems Science and Applications Engineering-Engineering (all)

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Advances in Systems Science and Applications (ASSA) is an international peer-reviewed open-source online academic journal. Its scope covers all major aspects of systems (and processes) analysis, modeling, simulation, and control, ranging from theoretical and methodological developments to a large variety of application areas. Survey articles and innovative results are also welcome. ASSA is aimed at the audience of scientists, engineers and researchers working in the framework of these problems. ASSA should be a platform on which researchers will be able to communicate and discuss both their specialized issues and interdisciplinary problems of systems analysis and its applications in science and industry, including data science, artificial intelligence, material science, manufacturing, transportation, power and energy, ecology, corporate management, public governance, finance, and many others.