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.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
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).
