{"title":"弱耦合系统振荡的自然镇定问题的求解","authors":"I. Barabanov, V. Tkhai","doi":"10.1109/STAB.2018.8408348","DOIUrl":null,"url":null,"abstract":"This paper considers an autonomous model containing coupled subsystems with ordinary differential equations as subsystems. Each subsystem is supposed to admit a family of oscillations with the period depending on a single parameter. The problem of natural stabilization is solved: couplings that ensure both existence of an oscillation and its asymptotic stability are found.","PeriodicalId":395462,"journal":{"name":"2018 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Solution to the natural stabilization problem for the oscillation of weakly coupled systems\",\"authors\":\"I. Barabanov, V. Tkhai\",\"doi\":\"10.1109/STAB.2018.8408348\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper considers an autonomous model containing coupled subsystems with ordinary differential equations as subsystems. Each subsystem is supposed to admit a family of oscillations with the period depending on a single parameter. The problem of natural stabilization is solved: couplings that ensure both existence of an oscillation and its asymptotic stability are found.\",\"PeriodicalId\":395462,\"journal\":{\"name\":\"2018 14th International Conference \\\"Stability and Oscillations of Nonlinear Control Systems\\\" (Pyatnitskiy's Conference) (STAB)\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2018 14th International Conference \\\"Stability and Oscillations of Nonlinear Control Systems\\\" (Pyatnitskiy's Conference) (STAB)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/STAB.2018.8408348\",\"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 14th International Conference \"Stability and Oscillations of Nonlinear Control Systems\" (Pyatnitskiy's Conference) (STAB)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/STAB.2018.8408348","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solution to the natural stabilization problem for the oscillation of weakly coupled systems
This paper considers an autonomous model containing coupled subsystems with ordinary differential equations as subsystems. Each subsystem is supposed to admit a family of oscillations with the period depending on a single parameter. The problem of natural stabilization is solved: couplings that ensure both existence of an oscillation and its asymptotic stability are found.