摘要
针对一类状态向量中含有时滞和的连续系统,研究其时滞相关稳定性问题.通过构造新的Lyapunov函数,获得了保证系统稳定、基于线性矩阵不等式的时滞相关充分条件,该条件不需要对原系统进行模型变换.数值算例表明,所得到的结论较已往文献具有较小的保守性.
The delay-dependent stability for continuous systems with two additive time-varying delay components is studied. By introducing a new Lyapunov function, an LMI approach is used to derive a delay-dependent sufficient condition which can guarantee the system asymptotically stable. The model transformation is unnecessary. An example shows that the conclusion obtained has less conservativeness than the existing ones.
出处
《控制与决策》
EI
CSCD
北大核心
2008年第6期714-717,720,共5页
Control and Decision
基金
国家自然科学基金项目(50476083)