正非线性系统的稳定性

2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR) Pub Date : 2017-08-01 DOI:10.1109/MMAR.2017.8046890

T. Kaczorek, K. Borawski

{"title":"正非线性系统的稳定性","authors":"T. Kaczorek, K. Borawski","doi":"10.1109/MMAR.2017.8046890","DOIUrl":null,"url":null,"abstract":"The stability of time-invariant positive nonlinear systems is addressed. Necessary conditions for the stability of positive time-invariant continuous-time and discrete-time nonlinear systems are established. It is shown that the positive nonlinear systems are asymptotically stable only if the corresponding positive linear systems are asymptotically stable. Considerations are illustrated by numerical examples and simulations are performed in Matlab-Simulink environment.","PeriodicalId":189753,"journal":{"name":"2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR)","volume":"94 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":"{\"title\":\"Stability of positive nonlinear systems\",\"authors\":\"T. Kaczorek, K. Borawski\",\"doi\":\"10.1109/MMAR.2017.8046890\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The stability of time-invariant positive nonlinear systems is addressed. Necessary conditions for the stability of positive time-invariant continuous-time and discrete-time nonlinear systems are established. It is shown that the positive nonlinear systems are asymptotically stable only if the corresponding positive linear systems are asymptotically stable. Considerations are illustrated by numerical examples and simulations are performed in Matlab-Simulink environment.\",\"PeriodicalId\":189753,\"journal\":{\"name\":\"2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR)\",\"volume\":\"94 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"15\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MMAR.2017.8046890\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMAR.2017.8046890","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 15

摘要

研究了定常正非线性系统的稳定性问题。建立了正时不变连续和离散非线性系统稳定性的必要条件。证明了只有相应的正线性系统是渐近稳定时，正非线性系统才是渐近稳定的。通过数值算例说明了注意事项，并在Matlab-Simulink环境中进行了仿真。

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

Stability of positive nonlinear systems

The stability of time-invariant positive nonlinear systems is addressed. Necessary conditions for the stability of positive time-invariant continuous-time and discrete-time nonlinear systems are established. It is shown that the positive nonlinear systems are asymptotically stable only if the corresponding positive linear systems are asymptotically stable. Considerations are illustrated by numerical examples and simulations are performed in Matlab-Simulink environment.

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

2017 22nd International Conference on Methods and Models in Automation and Robotics (MMAR)

自引率

0.00%

发文量