中立型时滞系统的新的绝对稳定性的法则  

A novel criterion for absolute stability of neutral delay systems

作　　者：李明[1] 刘龙[2] 

机构地区：[1]哈尔滨工程大学理学院,黑龙江哈尔滨150001 [2]黑龙江科技学院数力系,黑龙江哈尔滨150027

出　　处：《控制理论与应用》2009年第5期582-587,共6页Control Theory & Applications

基　　金：黑龙江省教育厅科学技术研究资助项目(11544048);黑龙江科技学院科研基金资助项目(07-60).

摘　　要：研究了具有扇形有界非线性的中立型时滞系统的绝对稳定性.利用新的Lyapunov-Krasovskii泛函,基于线性矩阵不等式得到了保守性低的稳定性结果.从而给出了该系统的新的绝对稳定的法则.最后用数值算例来演示所得到的结论的可行性与较低的保守性.文中也考虑了不确定性中立型时滞系统,他们的不确定性必须是范数有界的,但可以是时变的.The absolute stability of neutral delay systems with sector-bounded nonlinearity is studied. Using new Lyapunov-Krasovskii functional, we derive the less conservative stability conditions for such systems based on linear matrix inequalities（LMIs）, and present a novel absolute stability criterion for these systems. A numerical example is provided to show that the proposed criterion significantly extends the allowable upper limit of the delay size over the corresponding limits in some other existing criteria in the literature. We also consider the uncertain neutral delay systems, for which the uncertainties are norm-bounded but parameters are allowed to be time varying.

关 键 词：绝对稳定性 中立型时滞系统 不确定性 扇形有界的非线性 

分 类 号：TP11[自动化与计算机技术—控制理论与控制工程]