Sifeddine Benahmed, R. Postoyan, Mathieu Granzotto, L. Buşoniu, J. Daafouz, D. Nešić
{"title":"Stability analysis of optimal control problems with time-dependent costs","authors":"Sifeddine Benahmed, R. Postoyan, Mathieu Granzotto, L. Buşoniu, J. Daafouz, D. Nešić","doi":"10.48550/arXiv.2210.07142","DOIUrl":null,"url":null,"abstract":"We present stability conditions for deterministic time-varying nonlinear discrete-time systems whose inputs aim to minimize an infinite-horizon time-dependent cost. Global asymptotic and exponential stability properties for general attractors are established. This work covers and generalizes the related results on discounted optimal control problems to more general systems and cost functions.","PeriodicalId":13196,"journal":{"name":"IEEE Robotics Autom. Mag.","volume":"33 1","pages":"111272"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Robotics Autom. Mag.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.48550/arXiv.2210.07142","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
We present stability conditions for deterministic time-varying nonlinear discrete-time systems whose inputs aim to minimize an infinite-horizon time-dependent cost. Global asymptotic and exponential stability properties for general attractors are established. This work covers and generalizes the related results on discounted optimal control problems to more general systems and cost functions.
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