一类具有多重时滞的分数阶中立型微分系统的相对可控性

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一类具有多重时滞的分数阶中立型微分系统的相对可控性杨礼昌, 蒋威, 盛家乐, 刘婷婷, Musarrt Nawaz安徽大学数学科学学院, 合肥 230601 Relative Controllability of Fractional Neutral System with Multiple Delays YANG Lichang, JIANG Wei, SHENG Jiale, LIU Tingting, NAWAZ MusarrtAnhui University, School of Mathematical Sciences, Hefei 230601, China

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摘要本文对一类具有多重时滞的Caputo分数阶中立型微分控制系统的相对可控性和相对U可控性进行了研究.首先利用Laplace变换得到系统解的一个新的表达式，接着由Grammian矩阵得出系统相对可控的充分必要条件.最后给出了一类非线性分数阶中立型微分控制系统相对U可控的充分必要条件.

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收稿日期: 2019-03-20

PACS:

O231

基金资助:国家自然科学基金项目（11371027；10671182；11471015）；国家级大学生创新训练项目（201810371042）；阜阳师范学院科研项目（2016FSKJ19）；安徽高校自然科学研究重点项目（No.KJ2018A0470）资助.

引用本文:

杨礼昌, 蒋威, 盛家乐, 刘婷婷, Musarrt Nawaz. 一类具有多重时滞的分数阶中立型微分系统的相对可控性[J]. 应用数学学报, 2020, 43(1): 1-11. YANG Lichang, JIANG Wei, SHENG Jiale, LIU Tingting, NAWAZ Musarrt. Relative Controllability of Fractional Neutral System with Multiple Delays. Acta Mathematicae Applicatae Sinica, 2020, 43(1): 1-11.

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