{"title":"Well-posedness of a model order reduction for singularly perturbed linear stochastic systems","authors":"Z. Gajic","doi":"10.1002/OCA.4660080311","DOIUrl":null,"url":null,"abstract":"An order reduction problem for the state estimation of singularly perturbed linear systems is shown to be a well-posed problem, whereas the corresponding order reduction control problem is ill-posed. This observation plays an important role in the concept of multimodeling and in the slow—fast decomposition control problem for singularly perturbed linear stochastic systems.","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"8 1","pages":"305-309"},"PeriodicalIF":2.0000,"publicationDate":"2007-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/OCA.4660080311","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optimal Control Applications & Methods","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1002/OCA.4660080311","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 1
Abstract
An order reduction problem for the state estimation of singularly perturbed linear systems is shown to be a well-posed problem, whereas the corresponding order reduction control problem is ill-posed. This observation plays an important role in the concept of multimodeling and in the slow—fast decomposition control problem for singularly perturbed linear stochastic systems.
期刊介绍：
Optimal Control Applications & Methods provides a forum for papers on the full range of optimal and optimization based control theory and related control design methods. The aim is to encourage new developments in control theory and design methodologies that will lead to real advances in control applications. Papers are also encouraged on the development, comparison and testing of computational algorithms for solving optimal control and optimization problems. The scope also includes papers on optimal estimation and filtering methods which have control related applications. Finally, it will provide a focus for interesting optimal control design studies and report real applications experience covering problems in implementation and robustness.
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