{"title":"无限维时滞分数阶离散系统的可控性与最小能量控制问题","authors":"J. Klamka","doi":"10.1109/ACIIDS.2009.53","DOIUrl":null,"url":null,"abstract":"The minimum energy control problem of infinite-dimensional fractional-discrete time linear systems both without delays and with delays in control is discussed. Using methods taken from functional analysis necessary and sufficient conditions for the exact controllablity of the system are established. Next, assuming exact controllability analytical solution of the minimum energy control of the infinite-dimensional fractional discrete-time systems is given. A procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.","PeriodicalId":275776,"journal":{"name":"2009 First Asian Conference on Intelligent Information and Database Systems","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Controllability and Minimum Energy Control Problem of Infinite Dimensional Fractional Discrete-Time Systems with Delays\",\"authors\":\"J. Klamka\",\"doi\":\"10.1109/ACIIDS.2009.53\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The minimum energy control problem of infinite-dimensional fractional-discrete time linear systems both without delays and with delays in control is discussed. Using methods taken from functional analysis necessary and sufficient conditions for the exact controllablity of the system are established. Next, assuming exact controllability analytical solution of the minimum energy control of the infinite-dimensional fractional discrete-time systems is given. A procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.\",\"PeriodicalId\":275776,\"journal\":{\"name\":\"2009 First Asian Conference on Intelligent Information and Database Systems\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 First Asian Conference on Intelligent Information and Database Systems\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACIIDS.2009.53\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 First Asian Conference on Intelligent Information and Database Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACIIDS.2009.53","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Controllability and Minimum Energy Control Problem of Infinite Dimensional Fractional Discrete-Time Systems with Delays
The minimum energy control problem of infinite-dimensional fractional-discrete time linear systems both without delays and with delays in control is discussed. Using methods taken from functional analysis necessary and sufficient conditions for the exact controllablity of the system are established. Next, assuming exact controllability analytical solution of the minimum energy control of the infinite-dimensional fractional discrete-time systems is given. A procedure for computation of the optimal sequence of inputs minimizing the quadratic performance index is proposed.
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