摘要
讨论了具有控制时滞的Lurie系统在非线性项满足有限扇形区域条件下的绝对稳定性.依据Lyapunov稳定性理论,构造一个适当的Lyapunov泛函,利用线性矩阵不等式的方法,通过一个积分不等式获得了系统绝对稳定的时滞相关条件.并应用Schur补引理将以上结果推广到了具有范数有界的不确定Lurie时滞系统,得到了系统鲁棒绝对稳定的时滞相关的充分条件.通过算例验证了本文结果的有效性.
The absolute stability of Lurie systems with control time-delays and finite sector-bounded nonlinearity is discussed. Based on Lyapunov stability theory, by constructing a suitable Lyapunov-krasovskii functional and with linear matrix inequality （LMI） as research means, delay-dependent conditions of the abso-lute stability for Lurie systems are obtained by an integral inequality. Then, using Schur complement 1emma, delay-dependent sufficient condition for the absolute stability of uncertain time-delays Lurie control system with norm bounded is obtained by extending above result.
出处
《韩山师范学院学报》
2011年第6期29-33,共5页
Journal of Hanshan Normal University
