文章基本信息

标题：The controllability of damped fractional differential system with impulses and state delay
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作者：Musarrat Nawaz ; Jiang Wei ; Jiale Sheng 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-23
DOI：10.1186/s13662-020-02733-7
出版社：Hindawi Publishing Corporation
摘要：We discuss the controllability for a damped fractional differential system with impulses and state delay, which involves Caputo fractional derivatives. Deriving the condition based on the Gramian matrix defined by the Mittag-Leffler matrix function and Laplace transformation, we establish necessary and sufficient conditions of controllability criteria. Finally, we construct two numerical examples to support the result.
关键词：Fractional differential equations;Controllability;State delay;Impulses;