{"title":"具有时滞的连续时间分数型正系统的镇定","authors":"A. Benzaouia, F. Mesquine, M. Benhayoun","doi":"10.1109/ICOSC.2016.7507023","DOIUrl":null,"url":null,"abstract":"The stabilization problem for continuous-time fractional linear systems with multiple delays together with the additional condition of non negativity of the states is solved. The obtained results are based on a direct Lyapunov-Krasovskii function. In particular, the synthesis of state-feedback controllers is obtained by giving conditions in terms of Linear Programs. Illustrative example is provided to show the usefulness of the results.","PeriodicalId":149249,"journal":{"name":"2016 5th International Conference on Systems and Control (ICSC)","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":"{\"title\":\"Stabilization of continuous-time fractional positive systems with delays\",\"authors\":\"A. Benzaouia, F. Mesquine, M. Benhayoun\",\"doi\":\"10.1109/ICOSC.2016.7507023\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The stabilization problem for continuous-time fractional linear systems with multiple delays together with the additional condition of non negativity of the states is solved. The obtained results are based on a direct Lyapunov-Krasovskii function. In particular, the synthesis of state-feedback controllers is obtained by giving conditions in terms of Linear Programs. Illustrative example is provided to show the usefulness of the results.\",\"PeriodicalId\":149249,\"journal\":{\"name\":\"2016 5th International Conference on Systems and Control (ICSC)\",\"volume\":\"24 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-05-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 5th International Conference on Systems and Control (ICSC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICOSC.2016.7507023\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 5th International Conference on Systems and Control (ICSC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICOSC.2016.7507023","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Stabilization of continuous-time fractional positive systems with delays
The stabilization problem for continuous-time fractional linear systems with multiple delays together with the additional condition of non negativity of the states is solved. The obtained results are based on a direct Lyapunov-Krasovskii function. In particular, the synthesis of state-feedback controllers is obtained by giving conditions in terms of Linear Programs. Illustrative example is provided to show the usefulness of the results.