{"title":"具有不定哈密顿的非线性优化控制问题中的岔道","authors":"Yi Lu;Roberto Guglielmi","doi":"10.1109/LCSYS.2024.3509960","DOIUrl":null,"url":null,"abstract":"We provide a sufficient condition to ensure turnpike for general nonlinear control systems. The main result of this letter exploits the connection between turnpike and the hyperbolicity of the corresponding optimality system and combines it with the theory of Algebraic Riccati Equations with indefinite source terms. We validate our sufficient condition with an example that does not satisfy previous sufficient conditions for turnpike.","PeriodicalId":37235,"journal":{"name":"IEEE Control Systems Letters","volume":"8 ","pages":"2691-2696"},"PeriodicalIF":2.4000,"publicationDate":"2024-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Turnpike in Nonlinear Optimal Control Problems With Indefinite Hamiltonian\",\"authors\":\"Yi Lu;Roberto Guglielmi\",\"doi\":\"10.1109/LCSYS.2024.3509960\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We provide a sufficient condition to ensure turnpike for general nonlinear control systems. The main result of this letter exploits the connection between turnpike and the hyperbolicity of the corresponding optimality system and combines it with the theory of Algebraic Riccati Equations with indefinite source terms. We validate our sufficient condition with an example that does not satisfy previous sufficient conditions for turnpike.\",\"PeriodicalId\":37235,\"journal\":{\"name\":\"IEEE Control Systems Letters\",\"volume\":\"8 \",\"pages\":\"2691-2696\"},\"PeriodicalIF\":2.4000,\"publicationDate\":\"2024-12-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Control Systems Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10772186/\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Control Systems Letters","FirstCategoryId":"1085","ListUrlMain":"https://ieeexplore.ieee.org/document/10772186/","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Turnpike in Nonlinear Optimal Control Problems With Indefinite Hamiltonian
We provide a sufficient condition to ensure turnpike for general nonlinear control systems. The main result of this letter exploits the connection between turnpike and the hyperbolicity of the corresponding optimality system and combines it with the theory of Algebraic Riccati Equations with indefinite source terms. We validate our sufficient condition with an example that does not satisfy previous sufficient conditions for turnpike.
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