{"title":"Convex linear combination of the controllability pairs for linear systems","authors":"T. Kaczorek, J. Klamka","doi":"10.2478/candc-2021-0030","DOIUrl":null,"url":null,"abstract":"Abstract The convex linear combination of the controllability pairs of linear continuous-time linear systems is defined and its properties are discussed. The main result is obtained using pure algebraic methods. In the illustrative examples different cases of linear convex combinations are analyzed.","PeriodicalId":55209,"journal":{"name":"Control and Cybernetics","volume":"50 1","pages":"541 - 551"},"PeriodicalIF":0.0000,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Control and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/candc-2021-0030","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 1
Abstract
Abstract The convex linear combination of the controllability pairs of linear continuous-time linear systems is defined and its properties are discussed. The main result is obtained using pure algebraic methods. In the illustrative examples different cases of linear convex combinations are analyzed.
期刊介绍：
The field of interest covers general concepts, theories, methods and techniques associated with analysis, modelling, control and management in various systems (e.g. technological, economic, ecological, social). The journal is particularly interested in results in the following areas of research:
Systems and control theory:
general systems theory,
optimal cotrol,
optimization theory,
data analysis, learning, artificial intelligence,
modelling & identification,
game theory, multicriteria optimisation, decision and negotiation methods,
soft approaches: stochastic and fuzzy methods,
computer science,
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