N. Megawati, Salmah, I. E. Wijayanti, E. Joelianto
{"title":"Safety analysis of linear system with SOS for complex eigenvalues","authors":"N. Megawati, Salmah, I. E. Wijayanti, E. Joelianto","doi":"10.1109/ICA.2011.6130162","DOIUrl":null,"url":null,"abstract":"In this paper we investigate safety verification of linear system. The structure of linear system will be exploited and converted to certain eigenstructure as an emptiness problem for a semi algebraic set. Sum of square (SOS) is emploited to check emptiness of of the set defines by polynomial inequalities which can be computed by semidifinite programming. A special consideration is to investigate safety problem of linear system with complex eigenvalues.","PeriodicalId":132474,"journal":{"name":"2011 2nd International Conference on Instrumentation Control and Automation","volume":"36 1-3","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 2nd International Conference on Instrumentation Control and Automation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICA.2011.6130162","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper we investigate safety verification of linear system. The structure of linear system will be exploited and converted to certain eigenstructure as an emptiness problem for a semi algebraic set. Sum of square (SOS) is emploited to check emptiness of of the set defines by polynomial inequalities which can be computed by semidifinite programming. A special consideration is to investigate safety problem of linear system with complex eigenvalues.
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