三阶线性振荡系统特殊形式的极限可达性区域

IF 0.3 Q4 MECHANICS

Moscow University Mechanics Bulletin Pub Date : 2023-12-21 DOI:10.3103/S0027133023050035

D. I. Bugrov

{"title":"三阶线性振荡系统特殊形式的极限可达性区域","authors":"D. I. Bugrov","doi":"10.3103/S0027133023050035","DOIUrl":null,"url":null,"abstract":"<p>The problem under consideration is to find periodic trajectories lying on the boundary of the limit reachability region of a linear time-invariant third-order system with one controlling action bounded in absolute value. It is assumed that the characteristic equation of a homogeneous system has one negative real root and two complex conjugate roots, the real parts of all three roots are the same. The results make it possible to construct the boundary of the limit reachability region (for an infinitely long control time) in the form of analytical expressions on the system parameters.</p>","PeriodicalId":710,"journal":{"name":"Moscow University Mechanics Bulletin","volume":"78 5","pages":"143 - 148"},"PeriodicalIF":0.3000,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Limit Reachability Region for Special Form of Third-Order Linear Oscillating System\",\"authors\":\"D. I. Bugrov\",\"doi\":\"10.3103/S0027133023050035\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The problem under consideration is to find periodic trajectories lying on the boundary of the limit reachability region of a linear time-invariant third-order system with one controlling action bounded in absolute value. It is assumed that the characteristic equation of a homogeneous system has one negative real root and two complex conjugate roots, the real parts of all three roots are the same. The results make it possible to construct the boundary of the limit reachability region (for an infinitely long control time) in the form of analytical expressions on the system parameters.</p>\",\"PeriodicalId\":710,\"journal\":{\"name\":\"Moscow University Mechanics Bulletin\",\"volume\":\"78 5\",\"pages\":\"143 - 148\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-12-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Moscow University Mechanics Bulletin\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.3103/S0027133023050035\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Moscow University Mechanics Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S0027133023050035","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}

引用次数: 0

摘要

摘要本文所研究的问题是寻找位于线性时不变三阶系统极限可达区域边界上的周期轨迹，该系统有一个绝对值有界的控制作用。假设均相系统的特征方程有一个负实根和两个复共轭根，三个根的实部相同。这些结果使我们有可能用系统参数的分析表达式来构建极限可达性区域的边界（对于无限长的控制时间）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Limit Reachability Region for Special Form of Third-Order Linear Oscillating System

The problem under consideration is to find periodic trajectories lying on the boundary of the limit reachability region of a linear time-invariant third-order system with one controlling action bounded in absolute value. It is assumed that the characteristic equation of a homogeneous system has one negative real root and two complex conjugate roots, the real parts of all three roots are the same. The results make it possible to construct the boundary of the limit reachability region (for an infinitely long control time) in the form of analytical expressions on the system parameters.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Moscow University Mechanics Bulletin MECHANICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.