用连分式寻找离散动态多系统控制的切换瞬间

2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Pub Date : 2020-06-01 DOI:10.1109/STAB49150.2020.9140678

S. Khryashchev

{"title":"用连分式寻找离散动态多系统控制的切换瞬间","authors":"S. Khryashchev","doi":"10.1109/STAB49150.2020.9140678","DOIUrl":null,"url":null,"abstract":"In this paper, dynamical polysystems with piecewise constant controls are considered. Provided that the dynamical system is controllable in continuous time, the question of its controllability in discrete time is also studied. Controls in discrete time are constructed by using the theory of multidimensional continued fractions. These continued fractions approximate the control switching instants for continuous time.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Finding Switching Instants for Control of Discrete-time Dynamical Polysystems by Using Continued Fractions\",\"authors\":\"S. Khryashchev\",\"doi\":\"10.1109/STAB49150.2020.9140678\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, dynamical polysystems with piecewise constant controls are considered. Provided that the dynamical system is controllable in continuous time, the question of its controllability in discrete time is also studied. Controls in discrete time are constructed by using the theory of multidimensional continued fractions. These continued fractions approximate the control switching instants for continuous time.\",\"PeriodicalId\":166223,\"journal\":{\"name\":\"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/STAB49150.2020.9140678\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/STAB49150.2020.9140678","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

本文研究具有分段常数控制的动态多系统。假设动力系统在连续时间是可控的，研究了其在离散时间的可控性问题。利用多维连分式理论构造了离散时间的控制。这些连分数近似于连续时间的控制开关瞬间。

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

On Finding Switching Instants for Control of Discrete-time Dynamical Polysystems by Using Continued Fractions

In this paper, dynamical polysystems with piecewise constant controls are considered. Provided that the dynamical system is controllable in continuous time, the question of its controllability in discrete time is also studied. Controls in discrete time are constructed by using the theory of multidimensional continued fractions. These continued fractions approximate the control switching instants for continuous time.

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

2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)

自引率

0.00%

发文量