摘要
基于稳定性理论 ,导出了具时变滞后摄动的不确定线性系统二次稳定的充分条件。然后根据该充分条件 ,通过求解一个具线性矩阵不等式约束的凸优化问题 。
Based on the Lyapunov stability theory, the paper presents a sufficient condition for quadratic stability of uncertain linear system with time-varying delayed perturbations without the state transformation. The sufficient condition imposes LMI constraints on the bound of perturbation. With these constraints, a convex optimization problem is constructed to produce the bound of the perturbation as large as possible.
关键词
鲁棒稳定性
不确定
滞后
线性矩阵不等式
robust stability
uncertainty
delay
linear matrix inequuality
