文章基本信息

标题：Controllability study on fractional order impulsive stochastic differential equation ∗
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作者：B. Ganesh Priya ; P. Muthukumar
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2016
卷号：49
期号：1
页码：516-521
DOI：10.1016/j.ifacol.2016.03.106
语种：English
出版社：Elsevier
摘要：AbstractIn this paper, we consider a fractional order stochastic differential system with impulsive conditions. The necessary and sufficient conditions for the controllability of associated linear stochastic system is studied by using the controllability Grammian matrix defined by Mittag-Leffler function. The sufficient condition for controllability of the proposed nonlinear system is proved by using Banach fixed point theorem. An example is provided to illustrate the theory using the numerical integration by Haar wavelet approximation method.
关键词：KeywordsComplete ControllabilityStochastic systemImpulsive fractional differential systemMittag-Leffler functionLaplace transformNumerical integration