{"title":"可定向表面上控制系统的结构稳定性","authors":"A. A. Davydov","doi":"10.1070/SM1992V072N01ABEH001262","DOIUrl":null,"url":null,"abstract":"Structural stability of a smooth control system in general position on a smooth orientable compact surface is proved. This result is an analogue for control systems of the theorem on structural stability of a smooth vector field in general position on the sphere.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"STRUCTURAL STABILITY OF CONTROL SYSTEMS ON ORIENTABLE SURFACES\",\"authors\":\"A. A. Davydov\",\"doi\":\"10.1070/SM1992V072N01ABEH001262\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Structural stability of a smooth control system in general position on a smooth orientable compact surface is proved. This result is an analogue for control systems of the theorem on structural stability of a smooth vector field in general position on the sphere.\",\"PeriodicalId\":208776,\"journal\":{\"name\":\"Mathematics of The Ussr-sbornik\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1992-02-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-sbornik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/SM1992V072N01ABEH001262\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1992V072N01ABEH001262","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
STRUCTURAL STABILITY OF CONTROL SYSTEMS ON ORIENTABLE SURFACES
Structural stability of a smooth control system in general position on a smooth orientable compact surface is proved. This result is an analogue for control systems of the theorem on structural stability of a smooth vector field in general position on the sphere.