| 分数阶中立型时滞系统的鲁棒有限时间稳定性 |
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| 引用本文： | 张利,高存臣,任启峰.分数阶中立型时滞系统的鲁棒有限时间稳定性[J].上海师范大学学报(自然科学版),2020,49(3):344-350. |
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| 作者姓名： | 张利 高存臣 任启峰 |
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| 作者单位： | 中国海洋大学数学科学学院,山东青岛266100;中国海洋大学数学科学学院,山东青岛266100;中国海洋大学数学科学学院,山东青岛266100 |
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| 基金项目： | The National Natural Science Foundations of China (ZR2019MF027) |
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| 摘 要： | 主要研究了一类分数阶新型中立型时滞系统的鲁棒有限时间稳定性问题.首先给出所研究系统等价的积分形式的解；其次通过利用广义Bellman-Gronwall不等式，给出了判定一类具有非线性扰动的分数阶新型中立型时滞系统的有限时间稳定性的充分条件.
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| 关 键 词： | 分数阶微积分 时滞 中立型 有限时间稳定 Bellman-Gronwall不等式 |
| 收稿时间： | 2019/11/20 0:00:00 |
Robust finite-time stability of neutral fractional time-delay systems |
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| ZHANG Li,GAO Cunchen and REN Qifeng.Robust finite-time stability of neutral fractional time-delay systems[J].Journal of Shanghai Normal University(Natural Sciences),2020,49(3):344-350. |
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| Authors: | ZHANG Li GAO Cunchen and REN Qifeng |
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| Institution: | School of Mathematical Science, Ocean University of China, Qingdao 266100, Shandong, China,School of Mathematical Science, Ocean University of China, Qingdao 266100, Shandong, China and School of Mathematical Science, Ocean University of China, Qingdao 266100, Shandong, China |
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| Abstract: | This paper is devoted to investigating the robust finite-time stability issue of neutral fractionalorder system. Based on the generalized Bellman-Gronwall inequality, a new sufficient condition is established for the particular class of neutral fractional system with time-varying delay and nonlinear perturbation. |
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| Keywords: | fractional-order time-delay neutral finite-time stability Bellman-Gronwall inequality |
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