{"title":"Necessary exponential stability conditions for scalar periodic time-delay systems","authors":"M. A. Gómez, S. Mondié, G. Ochoa-Ruiz","doi":"10.1109/ICEEE.2014.6978249","DOIUrl":null,"url":null,"abstract":"In this paper necessary conditions for exponential stability for scalar periodic systems with one delay are presented. They are obtained in the framework of Lyapunov-Krasovskii functionals of complete type and depends exclusively on the Lyapunov delay function of the delay system.","PeriodicalId":6661,"journal":{"name":"2014 11th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","volume":"7 1","pages":"1-5"},"PeriodicalIF":0.0000,"publicationDate":"2014-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 11th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEEE.2014.6978249","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 necessary conditions for exponential stability for scalar periodic systems with one delay are presented. They are obtained in the framework of Lyapunov-Krasovskii functionals of complete type and depends exclusively on the Lyapunov delay function of the delay system.
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