{"title":"Standard and positive hybrid linear systems described by the general model","authors":"T. Kaczorek","doi":"10.1109/MMAR.2010.5587238","DOIUrl":null,"url":null,"abstract":"The standard and positive hybrid linear systems described by the general model is addressed. The solution to the general model is derived. Necessary and sufficient conditions for the positivity of the general model are established. The relationship between the positive general model of the linear hybrid systems and of the positive 2D linear systems are analyzed.","PeriodicalId":336219,"journal":{"name":"2010 15th International Conference on Methods and Models in Automation and Robotics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 15th International Conference on Methods and Models in Automation and Robotics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMAR.2010.5587238","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 10
Abstract
The standard and positive hybrid linear systems described by the general model is addressed. The solution to the general model is derived. Necessary and sufficient conditions for the positivity of the general model are established. The relationship between the positive general model of the linear hybrid systems and of the positive 2D linear systems are analyzed.