| 变时滞中立型分数阶系统的渐近稳定性分析 |
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| 引用本文： | 张万鹏,夏清霞,虞继敏.变时滞中立型分数阶系统的渐近稳定性分析[J].广西师范学院学报(自然科学版),2010,27(4). |
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| 作者姓名： | 张万鹏 夏清霞 虞继敏 |
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| 作者单位： | 广西师范学院数学科学学院;重庆邮电大学自动化学院网络化控制与智能仪器仪表教育部重点实验室; |
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| 摘 要： | 研究了变时滞n维线性中立型分数阶不等式,时滞矩阵定义在(R+)n×n.通过拉普拉斯变换,得到上述系统的特征方程.如果特征方程所有的特征根都在负实部,那么这个中立型的平衡点是全局渐近稳定的.最后,应用所得定理来处理药代动力学房室模型同步问题.
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| 关 键 词： | 时滞 中立型线性分数阶微分系统 稳定性 同步 房室模型 |
Stability Analysis of Linear Neutral Fractional Differential System with Multiple Time Delays |
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| ZHENG Wan-peng,XIA Qing-xia,YU Ji-min.Stability Analysis of Linear Neutral Fractional Differential System with Multiple Time Delays[J].Journal of Guangxi Teachers Education University:Natural Science Edition,2010,27(4). |
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| Authors: | ZHENG Wan-peng XIA Qing-xia YU Ji-min |
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| Institution: | ZHENG Wan-peng1,XIA Qing-xia1,YU Ji-min2(1.School of Mathematical Sciences,Guangxi Teaches Education University,Nanning530023,P.R.China,2.Automation Insititute of Chongqing University of Posts andTelecommunications,Key Laboratoy Network Control and Intelligent Instrument(ChongqingUniversity of Posts and Telecommunications),Minstry of Education,Chonqqing 400065,P.R.China) |
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| Abstract: | |
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| Keywords: | delay linear neutral fractional differential system stability synchronization compartmental model |
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