{"title":"用收缩分析法分析摆系统的稳定性","authors":"R. Gandhi, D. Adhyaru","doi":"10.1109/NUICONE.2011.6153309","DOIUrl":null,"url":null,"abstract":"This paper introduces a new method for deriving the virtual linearized model of a given non-linear system on the basis of convergence. Once the virtual model for a given system is obtained, it is very simple to analyze the behavior of given non-linear system. To represent an idea regarding the concept of contraction analysis an example of simple pendulum system has been taken and the virtual linearized model has been derived with the help of the Contraction analysis.","PeriodicalId":206392,"journal":{"name":"2011 Nirma University International Conference on Engineering","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Stability analysis of a pendulum based system using contraction analysis\",\"authors\":\"R. Gandhi, D. Adhyaru\",\"doi\":\"10.1109/NUICONE.2011.6153309\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper introduces a new method for deriving the virtual linearized model of a given non-linear system on the basis of convergence. Once the virtual model for a given system is obtained, it is very simple to analyze the behavior of given non-linear system. To represent an idea regarding the concept of contraction analysis an example of simple pendulum system has been taken and the virtual linearized model has been derived with the help of the Contraction analysis.\",\"PeriodicalId\":206392,\"journal\":{\"name\":\"2011 Nirma University International Conference on Engineering\",\"volume\":\"38 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 Nirma University International Conference on Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/NUICONE.2011.6153309\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 Nirma University International Conference on Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NUICONE.2011.6153309","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability analysis of a pendulum based system using contraction analysis
This paper introduces a new method for deriving the virtual linearized model of a given non-linear system on the basis of convergence. Once the virtual model for a given system is obtained, it is very simple to analyze the behavior of given non-linear system. To represent an idea regarding the concept of contraction analysis an example of simple pendulum system has been taken and the virtual linearized model has been derived with the help of the Contraction analysis.
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