{"title":"具有一般非线性扰动的切换系统稳定性分析","authors":"Jiu-Gang Dong","doi":"10.1016/j.mcm.2013.05.001","DOIUrl":null,"url":null,"abstract":"<div><p>This paper studies the stability of switched systems with general nonlinear disturbances. By using generalized Gronwall–Bellman inequalities, we obtain stability results for the systems with arbitrary switching laws. Finally, an example is given to illustrate the effectiveness of the results obtained.</p></div>","PeriodicalId":49872,"journal":{"name":"Mathematical and Computer Modelling","volume":"58 7","pages":"Pages 1563-1567"},"PeriodicalIF":0.0000,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.mcm.2013.05.001","citationCount":"11","resultStr":"{\"title\":\"Stability analysis of switched systems with general nonlinear disturbances\",\"authors\":\"Jiu-Gang Dong\",\"doi\":\"10.1016/j.mcm.2013.05.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper studies the stability of switched systems with general nonlinear disturbances. By using generalized Gronwall–Bellman inequalities, we obtain stability results for the systems with arbitrary switching laws. Finally, an example is given to illustrate the effectiveness of the results obtained.</p></div>\",\"PeriodicalId\":49872,\"journal\":{\"name\":\"Mathematical and Computer Modelling\",\"volume\":\"58 7\",\"pages\":\"Pages 1563-1567\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.mcm.2013.05.001\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical and Computer Modelling\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0895717713001787\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical and Computer Modelling","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0895717713001787","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stability analysis of switched systems with general nonlinear disturbances
This paper studies the stability of switched systems with general nonlinear disturbances. By using generalized Gronwall–Bellman inequalities, we obtain stability results for the systems with arbitrary switching laws. Finally, an example is given to illustrate the effectiveness of the results obtained.