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带分布型时滞的分数阶脉冲控制系统的能控性 被引量：1

Controllability of impulsive fractional dynamical systems with distributed delays
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摘要 讨论一类具有分布型时滞的分数阶脉冲线性控制系统的能控性问题.首先给出此类系统的解的一般形式,然后根据此形式构造能控性格拉姆矩阵,给出系统能控的一个充分必要条件,最后举例说明这个结果的正确性. This paper is concerned with the controllability of impulsive fractional linear systems with distributed delays. Firstly, the author gives a formula of solution for this system. Next, a necessary and sufficient condition of controllability result is obtained by using the controllability Grammian matrix. An example is given to illustrate the result.
作者 胡宏 朱彦
机构地区 徐州工程学院数理学院 安徽大学数学科学学院
出处 《扬州大学学报（自然科学版）》 CAS CSCD 北大核心 2012年第4期34-37,45,共5页 Journal of Yangzhou University：Natural Science Edition
基金 教育部博士点基金资助项目(20113401110001)
关键词 CAPUTO导数 脉冲 分布型时滞 能控性 Caputo derivative impulsive distributed delays controllability
分类号 O175.8 [理学—基础数学]
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参考文献9

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二级参考文献10

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同被引文献12

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扬州大学学报（自然科学版）
2012年 第4期

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