{"title":"非负变量系统的局部化分析","authors":"A. Krishchenko, E. Tverskaya","doi":"10.1109/STAB49150.2020.9140473","DOIUrl":null,"url":null,"abstract":"To study equilibrium points with positive coordinates, we use the localization method and find sets containing all compact invariant sets lying in the region with positive values of the variables. These sets are bounded by level surfaces of coordinate functions. We consider two– and four–dimensional systems and indicate the cases when these sets are defined by two inner equilibrium points.","PeriodicalId":166223,"journal":{"name":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis of systems with non-negative variables using the localization method\",\"authors\":\"A. Krishchenko, E. Tverskaya\",\"doi\":\"10.1109/STAB49150.2020.9140473\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"To study equilibrium points with positive coordinates, we use the localization method and find sets containing all compact invariant sets lying in the region with positive values of the variables. These sets are bounded by level surfaces of coordinate functions. We consider two– and four–dimensional systems and indicate the cases when these sets are defined by two inner equilibrium points.\",\"PeriodicalId\":166223,\"journal\":{\"name\":\"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/STAB49150.2020.9140473\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/STAB49150.2020.9140473","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analysis of systems with non-negative variables using the localization method
To study equilibrium points with positive coordinates, we use the localization method and find sets containing all compact invariant sets lying in the region with positive values of the variables. These sets are bounded by level surfaces of coordinate functions. We consider two– and four–dimensional systems and indicate the cases when these sets are defined by two inner equilibrium points.
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