Time dependence of the attainability regions of third order systems

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI:10.1016/j.jappmathmech.2017.08.004

D.I. Bugrov, A.M. Formal'skii

引用次数: 8

Abstract

A linear steady third order system with one controlling (perturbing) action that is bounded in absolute magnitude is considered. The matrix specifying the system has one real and two complex conjugate eigenvalues. The behaviour of the boundary of the attainability region of this system as time increases is studied. It is shown that the structure of the boundary of the attainability region depends on the relation between the real eigenvalue and the real part of the complex conjugate eigenvalues.

查看原文本刊更多论文

三阶系统可达区域的时间依赖性

研究一类具有一个控制(摄动)作用的三阶线性稳定系统，该系统在绝对数量级上有界。表示系统的矩阵有一个实特征值和两个复共轭特征值。研究了该系统可达区域边界随时间的变化规律。结果表明，可得区边界的结构取决于复共轭特征值的实部与实部之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.