{"title":"多输入非自治控制系统的线性化问题与不变量","authors":"K. V. Sklyar, S. Ignatovich, G. Sklyar","doi":"10.1109/MED59994.2023.10185678","DOIUrl":null,"url":null,"abstract":"We consider nonlinear multi-input non-autonomous control systems and analyze their invariants analogous to those introduced in Sklyar K. On mappability of control systems to linear systems with analytic matrices. Systems Control Lett. 134 (2019) 104572. We show that, compared to single-input systems, new invariants should be introduced. We give a complete set of invariants for one subclass of multi-input non-autonomous systems and propose a method of solving the time-optimal problem for such systems.","PeriodicalId":270226,"journal":{"name":"2023 31st Mediterranean Conference on Control and Automation (MED)","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Linearizability problem and invariants for multi-input non-autonomous control systems\",\"authors\":\"K. V. Sklyar, S. Ignatovich, G. Sklyar\",\"doi\":\"10.1109/MED59994.2023.10185678\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider nonlinear multi-input non-autonomous control systems and analyze their invariants analogous to those introduced in Sklyar K. On mappability of control systems to linear systems with analytic matrices. Systems Control Lett. 134 (2019) 104572. We show that, compared to single-input systems, new invariants should be introduced. We give a complete set of invariants for one subclass of multi-input non-autonomous systems and propose a method of solving the time-optimal problem for such systems.\",\"PeriodicalId\":270226,\"journal\":{\"name\":\"2023 31st Mediterranean Conference on Control and Automation (MED)\",\"volume\":\"14 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2023 31st Mediterranean Conference on Control and Automation (MED)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MED59994.2023.10185678\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2023 31st Mediterranean Conference on Control and Automation (MED)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MED59994.2023.10185678","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Linearizability problem and invariants for multi-input non-autonomous control systems
We consider nonlinear multi-input non-autonomous control systems and analyze their invariants analogous to those introduced in Sklyar K. On mappability of control systems to linear systems with analytic matrices. Systems Control Lett. 134 (2019) 104572. We show that, compared to single-input systems, new invariants should be introduced. We give a complete set of invariants for one subclass of multi-input non-autonomous systems and propose a method of solving the time-optimal problem for such systems.
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