{"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}
引用次数: 1
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.
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