| 分数阶时滞系统的稳定性 |
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| 引用本文： | 方园.分数阶时滞系统的稳定性[J].阜阳师范学院学报(自然科学版),2012(3):11-13. |
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| 作者姓名： | 方园 |
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| 作者单位： | 阜阳师范学院数学与计算科学学院 |
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| 基金项目： | 教育部、财政部第四批高等学校特色专业建设点(TS11496)资助 |
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| 摘 要： | 文章讨论了分数阶线性系统的稳定性问题,其中一部分状态含有时滞。借助Laplace变换,引入时滞系统的特征方程,最后,利用特征方程的根全部具有负实部则系统稳定的性质对系统稳定性进行了分析。
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| 关 键 词： | 分数阶 时滞 Laplace变换 稳定 |
Stability of fractional differential system with time delays |
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| FANG Yuan.Stability of fractional differential system with time delays[J].Journal of Fuyang Teachers College:Natural Science,2012(3):11-13. |
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| Authors: | FANG Yuan |
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| Institution: | FANG Yuan(School of Mathematics and Computational Science,Fuyang Teachers College,Fuyang Anhui 236037,China) |
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| Abstract: | This article mainly discusses stability of fractional differential system some of which the state contains time delays.With the Laplace transformation,we introduces time delays system characteristic equation,and we all know that the system is stable if all roots of the characteristic equation have negative parts.At last,we study the stability of this system by using the result. |
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| Keywords: | fractional delay Laplace transformation stability |
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