{"title":"带控制动作的定时连续Petri网不变量区域的几何表征","authors":"E. Leclercq, D. Lefebvre","doi":"10.1109/DCDS.2011.5970335","DOIUrl":null,"url":null,"abstract":"Stability analysis and advanced control design require the characterization of positive invariant regions. In this contribution, this characterization is developed for contPNs with piecewise constant control actions according to a geometric approach. Upper and lower bounds of the maximal positive regions are proposed.","PeriodicalId":131902,"journal":{"name":"2011 3rd International Workshop on Dependable Control of Discrete Systems","volume":"111 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Geometric characterization of invariant regions for timed continuous Petri nets with control actions\",\"authors\":\"E. Leclercq, D. Lefebvre\",\"doi\":\"10.1109/DCDS.2011.5970335\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Stability analysis and advanced control design require the characterization of positive invariant regions. In this contribution, this characterization is developed for contPNs with piecewise constant control actions according to a geometric approach. Upper and lower bounds of the maximal positive regions are proposed.\",\"PeriodicalId\":131902,\"journal\":{\"name\":\"2011 3rd International Workshop on Dependable Control of Discrete Systems\",\"volume\":\"111 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-06-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 3rd International Workshop on Dependable Control of Discrete Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DCDS.2011.5970335\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 3rd International Workshop on Dependable Control of Discrete Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DCDS.2011.5970335","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Geometric characterization of invariant regions for timed continuous Petri nets with control actions
Stability analysis and advanced control design require the characterization of positive invariant regions. In this contribution, this characterization is developed for contPNs with piecewise constant control actions according to a geometric approach. Upper and lower bounds of the maximal positive regions are proposed.