{"title":"Global analysis of networks of piecewise affine bistable switches","authors":"Gianluca Villani, L. Scardovi","doi":"10.1109/CDC45484.2021.9683536","DOIUrl":null,"url":null,"abstract":"In this paper we investigate the dynamics of a network of N diffusively-coupled compartments, each modelling a bistable switch. The dynamics of each compartment is described by a piecewise linear differential equation. We prove that all the solutions converge to the set of equilibria and that this is a structural property, as it does not depend on the system parameters and the interconnection topology. The theoretical results are supplemented with numerical results which suggest new directions for future research.","PeriodicalId":229089,"journal":{"name":"2021 60th IEEE Conference on Decision and Control (CDC)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 60th IEEE Conference on Decision and Control (CDC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC45484.2021.9683536","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
In this paper we investigate the dynamics of a network of N diffusively-coupled compartments, each modelling a bistable switch. The dynamics of each compartment is described by a piecewise linear differential equation. We prove that all the solutions converge to the set of equilibria and that this is a structural property, as it does not depend on the system parameters and the interconnection topology. The theoretical results are supplemented with numerical results which suggest new directions for future research.
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