{"title":"领导力下的意见形成模型","authors":"R. Almeida, A. Malinowska, T. Odzijewicz","doi":"10.1109/MMAR.2018.8486016","DOIUrl":null,"url":null,"abstract":"The paper studies two types of fractional opinion formation models with leader: the Hegselmann–Krause and the Cucker–Smale. We aim to design an optimal control strategy for the systems to reach a consensus. A numerical scheme, based on Grünwald–Letnikov approximation of the Caputo fractional derivative, is proposed for solving the fractional optimal control problem. The effectiveness of the proposed control strategy is illustrated by examples.","PeriodicalId":201658,"journal":{"name":"2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Fractional Opinion Formation Models with Leadership\",\"authors\":\"R. Almeida, A. Malinowska, T. Odzijewicz\",\"doi\":\"10.1109/MMAR.2018.8486016\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper studies two types of fractional opinion formation models with leader: the Hegselmann–Krause and the Cucker–Smale. We aim to design an optimal control strategy for the systems to reach a consensus. A numerical scheme, based on Grünwald–Letnikov approximation of the Caputo fractional derivative, is proposed for solving the fractional optimal control problem. The effectiveness of the proposed control strategy is illustrated by examples.\",\"PeriodicalId\":201658,\"journal\":{\"name\":\"2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MMAR.2018.8486016\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 23rd International Conference on Methods & Models in Automation & Robotics (MMAR)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMAR.2018.8486016","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fractional Opinion Formation Models with Leadership
The paper studies two types of fractional opinion formation models with leader: the Hegselmann–Krause and the Cucker–Smale. We aim to design an optimal control strategy for the systems to reach a consensus. A numerical scheme, based on Grünwald–Letnikov approximation of the Caputo fractional derivative, is proposed for solving the fractional optimal control problem. The effectiveness of the proposed control strategy is illustrated by examples.
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