一类非线性机械系统运动的稳定性和极限有界性

2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP) Pub Date : 2015-12-03 DOI:10.1109/SCP.2015.7342045

Sergey S. Fadeev

{"title":"一类非线性机械系统运动的稳定性和极限有界性","authors":"Sergey S. Fadeev","doi":"10.1109/SCP.2015.7342045","DOIUrl":null,"url":null,"abstract":"A nonlinear mechanical system with nonconservative forces, two-component homogeneous potential forces and control forces of a special form is considered. On the basis of the Lyapunov functions method, several theorems that provide sufficient conditions of asymptotic stability of system's equilibrium position and sufficient conditions of ultimate boundedness of its solutions are proved.","PeriodicalId":110366,"journal":{"name":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","volume":"7 1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the stability and ultimate boundedness of motions of a class of nonlinear mechanical systems\",\"authors\":\"Sergey S. Fadeev\",\"doi\":\"10.1109/SCP.2015.7342045\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A nonlinear mechanical system with nonconservative forces, two-component homogeneous potential forces and control forces of a special form is considered. On the basis of the Lyapunov functions method, several theorems that provide sufficient conditions of asymptotic stability of system's equilibrium position and sufficient conditions of ultimate boundedness of its solutions are proved.\",\"PeriodicalId\":110366,\"journal\":{\"name\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"volume\":\"7 1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 International Conference \\\"Stability and Control Processes\\\" in Memory of V.I. Zubov (SCP)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SCP.2015.7342045\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 International Conference \"Stability and Control Processes\" in Memory of V.I. Zubov (SCP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCP.2015.7342045","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

考虑了具有非保守力、双分量齐次位力和特殊形式的控制力的非线性机械系统。在李雅普诺夫函数方法的基础上，证明了系统平衡位置渐近稳定的充分条件及其解的最终有界性的充分条件。

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

On the stability and ultimate boundedness of motions of a class of nonlinear mechanical systems

A nonlinear mechanical system with nonconservative forces, two-component homogeneous potential forces and control forces of a special form is considered. On the basis of the Lyapunov functions method, several theorems that provide sufficient conditions of asymptotic stability of system's equilibrium position and sufficient conditions of ultimate boundedness of its solutions are proved.

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

2015 International Conference "Stability and Control Processes" in Memory of V.I. Zubov (SCP)

自引率

0.00%

发文量