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.
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)
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
delay
linear neutral fractional differential system
stability
synchronization compartmental model
