{"title":"Efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionals","authors":"","doi":"10.24425/acs.2021.138697","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce necessary and sufficient efficiency conditions associated with a class of multiobjective fractional variational control problems governed by geodesic quasiinvex multiple integral functionals and mixed constraints containing m -flow type PDEs. Using the new notion of ( normal ) geodesic efficient solution , under ( ρ, b ) - geodesic quasiinvexity assumptions, we establish sufficient efficiency conditions for a feasible solution.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":"1 1","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archives of Control Sciences","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.24425/acs.2021.138697","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we introduce necessary and sufficient efficiency conditions associated with a class of multiobjective fractional variational control problems governed by geodesic quasiinvex multiple integral functionals and mixed constraints containing m -flow type PDEs. Using the new notion of ( normal ) geodesic efficient solution , under ( ρ, b ) - geodesic quasiinvexity assumptions, we establish sufficient efficiency conditions for a feasible solution.
期刊介绍：
Archives of Control Sciences welcomes for consideration papers on topics of significance in broadly understood control science and related areas, including: basic control theory, optimal control, optimization methods, control of complex systems, mathematical modeling of dynamic and control systems, expert and decision support systems and diverse methods of knowledge modelling and representing uncertainty (by stochastic, set-valued, fuzzy or rough set methods, etc.), robotics and flexible manufacturing systems. Related areas that are covered include information technology, parallel and distributed computations, neural networks and mathematical biomedicine, mathematical economics, applied game theory, financial engineering, business informatics and other similar fields.
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