文章基本信息

标题：Controllability and minimum energy control of fractional neutral delay system ⁎
本地全文：下载
作者：B. Ganesh Priya ; P. Muthukumar
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：1
页码：592-597
DOI：10.1016/j.ifacol.2018.05.099
语种：English
出版社：Elsevier
摘要：AbstractIn this paper, we consider a class of time invariant control system governed by the neutral delay differential equation of fractional order 1 < α ≤ 2. Necessary and sufficient conditions for the controllability of linear fractional neutral system is derived. The existence of solution and controllability for the proposed nonlinear system is obtained by using the successive approximation technique. Also, the minimum energy control problem of corresponding linear positive system is stated and proved by using the Grammian matrix approach. Finally two numerical examples are substantiated to illustrate the proposed theory.
关键词：KeywordsControllabilityFractional neutral differential equationsLaplace transformMinimum energy controlMittag-Leffler functionNumerical integration