{"title":"一类延迟网络的有限时间多稳定性","authors":"Shu Yi, Jigui Jian","doi":"10.1109/ICICIP.2015.7388152","DOIUrl":null,"url":null,"abstract":"Under some simple conditions, the finite-time boundedness of a network about its all variables is derived by only considering the finite-time boundedness of its partial variables. First, based on some inequality techniques and employing the Lyapunov method, some delay-independent sufficient criteria are derived to ensuring the finite-time boundedness of all state variables of the discussed delay networks. Secondly, a new delay-independent criterion of finite-time boundedness for a part states and finite-time stability for the other part states of the discussed system is also given. Finally, one numerical example is given to show the effectiveness and usefulness of the results.","PeriodicalId":265426,"journal":{"name":"2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)","volume":"87 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Finite-time polystability of a class of delayed networks\",\"authors\":\"Shu Yi, Jigui Jian\",\"doi\":\"10.1109/ICICIP.2015.7388152\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Under some simple conditions, the finite-time boundedness of a network about its all variables is derived by only considering the finite-time boundedness of its partial variables. First, based on some inequality techniques and employing the Lyapunov method, some delay-independent sufficient criteria are derived to ensuring the finite-time boundedness of all state variables of the discussed delay networks. Secondly, a new delay-independent criterion of finite-time boundedness for a part states and finite-time stability for the other part states of the discussed system is also given. Finally, one numerical example is given to show the effectiveness and usefulness of the results.\",\"PeriodicalId\":265426,\"journal\":{\"name\":\"2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)\",\"volume\":\"87 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICICIP.2015.7388152\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICICIP.2015.7388152","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Finite-time polystability of a class of delayed networks
Under some simple conditions, the finite-time boundedness of a network about its all variables is derived by only considering the finite-time boundedness of its partial variables. First, based on some inequality techniques and employing the Lyapunov method, some delay-independent sufficient criteria are derived to ensuring the finite-time boundedness of all state variables of the discussed delay networks. Secondly, a new delay-independent criterion of finite-time boundedness for a part states and finite-time stability for the other part states of the discussed system is also given. Finally, one numerical example is given to show the effectiveness and usefulness of the results.