{"title":"On the L2 Gain of 2D Mixed Continuous-Discrete-Time Systems via Complex LFR and Lyapunov Functions","authors":"G. Chesi","doi":"10.1109/CRC.2019.00036","DOIUrl":null,"url":null,"abstract":"This paper addresses the problem of establishing upper bounds of the L2 gain of 2D mixed continuous-discrete-time systems. A novel linear matrix inequality condition is proposed based on the introduction of a complex linear fractional representation of the systems and on the use of complex Lyapunov functions depending rationally on a parameter. As shown by an illustrative example, the computational burden of the proposed condition may be rather smaller than existing conditions.","PeriodicalId":414946,"journal":{"name":"2019 4th International Conference on Control, Robotics and Cybernetics (CRC)","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 4th International Conference on Control, Robotics and Cybernetics (CRC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CRC.2019.00036","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper addresses the problem of establishing upper bounds of the L2 gain of 2D mixed continuous-discrete-time systems. A novel linear matrix inequality condition is proposed based on the introduction of a complex linear fractional representation of the systems and on the use of complex Lyapunov functions depending rationally on a parameter. As shown by an illustrative example, the computational burden of the proposed condition may be rather smaller than existing conditions.
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