| 一类分数阶时滞微分系统的两度量稳定性 |
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| 引用本文： | 王培光,周彬彬.一类分数阶时滞微分系统的两度量稳定性[J].河北大学学报(自然科学版),2013,33(2):113-117. |
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| 作者姓名： | 王培光 周彬彬 |
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| 作者单位： | 1. 河北大学电子信息工程学院,河北保定,071002
2. 河北大学数学与计算机学院,河北保定,071002 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 讨论了一类分数阶时滞微分系统.首先,引入锥的概念,给出了锥值分数阶时滞微分系统的Lyapunov函数.其次,发展了比较定理,得到了关于分数阶时滞微分系统与微分系统的新的比较定理.最后,通过新的比较定理,给出分数阶时滞微分系统的两度量稳定性的判断准则.
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| 关 键 词： | 分数阶微分系统 时滞 两度量稳定性 |
Stability of two measures for fractional order time-delay differential system |
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| WANG Peiguang
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ZHOU Binbin.Stability of two measures for fractional order time-delay differential system[J].Journal of Hebei University (Natural Science Edition),2013,33(2):113-117. |
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| Authors: | WANG Peiguang ZHOU Binbin |
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| Institution: | 1.College of Electronic and Information Engineering,Hebei University,Baoding 071002,China; 2.College of Mathematics and Computer Science,Hebei University,Baoding 071002,China) |
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| Abstract: | One kind of the fractional order time-delay system was discussed.Firstly,introduced the concept of cove,and given the Lyapunov function of cove-value fractional order time-delay differential system.Secondly,developed the comparison theorem,and got a new comparison theorem on the fractional order time-delay system and fractional system.Finally,concluded the stability criterion of two measures for fractional order time-delay system by the new comparison theorem. |
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| Keywords: | fractional order differential system time-delay stability of two measures |
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