变时滞中立型分数阶系统的渐近稳定性分析  

Stability Analysis of Linear Neutral Fractional Differential System with Multiple Time Delays

作　　者：张万鹏[1] 夏清霞[1] 虞继敏[2] 

机构地区：[1]广西师范学院数学科学学院,广西南宁530023 [2]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,重庆南岸400065

出　　处：《广西师范学院学报（自然科学版）》2010年第4期29-34,共6页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：重庆市自然科学基金(CSTC;2009BB3280)

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.This paper studies the stability of n-dimensional linear neutral fractional differential equation with multiple time delays,where the delay matrix is defined in（R＋）n×n.By means of the Laplace transform,we gain a characteristic equation for the above system.If all roots of the characteristic equation have negative parts,then the equilibrium of the above neutral system is globally asymptotical stable.At last,we apply our theorem to dealing with synchronization between the compartmental models with fractional order in pharmacokinetics,where the domain of the control-synchronization parameters is determined.

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 

分 类 号：O231.2[理学—运筹学与控制论]