{"title":"混合动力系统的数学建模:在弹跳球和双罐系统中的应用","authors":"T. Manrique, D. Patiño","doi":"10.1109/ANDESCON.2010.5633052","DOIUrl":null,"url":null,"abstract":"Mathematical modeling of Hybrid Dynamical Systems (HDS) aims for describing in a more complete formulation those behaviors composed by discrete and continuous dynamics. This article develops a detailed mathematical description of two systems which exhibit a hybrid behavior through two different models widely known in the HDS theory: The Switched systems and the Hybrid automaton. In addition, some differences and similarities between them are highlighted.","PeriodicalId":359559,"journal":{"name":"2010 IEEE ANDESCON","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Mathematical modelling on Hybrid Dynamical Systems: An application to the bouncing ball and a two-tanks system\",\"authors\":\"T. Manrique, D. Patiño\",\"doi\":\"10.1109/ANDESCON.2010.5633052\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Mathematical modeling of Hybrid Dynamical Systems (HDS) aims for describing in a more complete formulation those behaviors composed by discrete and continuous dynamics. This article develops a detailed mathematical description of two systems which exhibit a hybrid behavior through two different models widely known in the HDS theory: The Switched systems and the Hybrid automaton. In addition, some differences and similarities between them are highlighted.\",\"PeriodicalId\":359559,\"journal\":{\"name\":\"2010 IEEE ANDESCON\",\"volume\":\"21 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-11-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 IEEE ANDESCON\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ANDESCON.2010.5633052\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 IEEE ANDESCON","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ANDESCON.2010.5633052","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mathematical modelling on Hybrid Dynamical Systems: An application to the bouncing ball and a two-tanks system
Mathematical modeling of Hybrid Dynamical Systems (HDS) aims for describing in a more complete formulation those behaviors composed by discrete and continuous dynamics. This article develops a detailed mathematical description of two systems which exhibit a hybrid behavior through two different models widely known in the HDS theory: The Switched systems and the Hybrid automaton. In addition, some differences and similarities between them are highlighted.
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