{"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}
引用次数: 0
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.
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