{"title":"分数阶混合系统及其稳定性","authors":"S. Hosseinnia, I. Tejado, B. Vinagre","doi":"10.1109/CARPATHIANCC.2013.6560524","DOIUrl":null,"url":null,"abstract":"This paper deals with hybrid systems (HS) with fractional order dynamics and their stability. The stability of two particular types of fractional order hybrid systems (FOHS), i.e., switching and reset control systems, is studied. Common Lyapunov method, as well as its frequency domain equivalence, are generalized for the former systems and, for the latter, Hβ-condition is used -frequency domain equivalence of Lyapunovlike method for reset control systems. The applicability and efficiency of the proposed methods are shown by some illustrative examples.","PeriodicalId":373601,"journal":{"name":"Proceedings of the 14th International Carpathian Control Conference (ICCC)","volume":"54 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fractional order hybrid systems and their stability\",\"authors\":\"S. Hosseinnia, I. Tejado, B. Vinagre\",\"doi\":\"10.1109/CARPATHIANCC.2013.6560524\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with hybrid systems (HS) with fractional order dynamics and their stability. The stability of two particular types of fractional order hybrid systems (FOHS), i.e., switching and reset control systems, is studied. Common Lyapunov method, as well as its frequency domain equivalence, are generalized for the former systems and, for the latter, Hβ-condition is used -frequency domain equivalence of Lyapunovlike method for reset control systems. The applicability and efficiency of the proposed methods are shown by some illustrative examples.\",\"PeriodicalId\":373601,\"journal\":{\"name\":\"Proceedings of the 14th International Carpathian Control Conference (ICCC)\",\"volume\":\"54 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-03-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 14th International Carpathian Control Conference (ICCC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CARPATHIANCC.2013.6560524\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 14th International Carpathian Control Conference (ICCC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CARPATHIANCC.2013.6560524","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fractional order hybrid systems and their stability
This paper deals with hybrid systems (HS) with fractional order dynamics and their stability. The stability of two particular types of fractional order hybrid systems (FOHS), i.e., switching and reset control systems, is studied. Common Lyapunov method, as well as its frequency domain equivalence, are generalized for the former systems and, for the latter, Hβ-condition is used -frequency domain equivalence of Lyapunovlike method for reset control systems. The applicability and efficiency of the proposed methods are shown by some illustrative examples.
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