具有不确定参数滞后型Lurie 控制系统的鲁棒稳定性

通过构造适当的Lyapunov函数，利用线性矩阵不等式，对具有结构参数扰动和范数扰动的不确定参数滞后型Lurie控制系统进行了研究，得到了该系统鲁棒绝对稳定的时滞无关充分条件；利用同样的方法，得到了该系统鲁棒绝对稳定的时滞相关充分条件。研究结果表明：这些条件是在参数不确定且参数无范数界情况下，用对角矩阵和线性矩阵的正定性表示，具有直观性和便于计算机运算等特点。

Robust Stability of Lurie Control Systems with Time-delay and Uncertain Parameters

By using linear matrix inequalities and through establishing proper Lyapunov function, studies on uncertain parameter and time-delay Lurie control systems, with structured parameter perturbations and norm parameter perturbations are carded out, and thus obtains some timelag and unsufficient conditions for robust absolute stability of lurie control systems. The research shows when parameter is uncertain and has no norm bound restriction, these above conditions can be presented in terms of the positive definite matrices of diagonal matrix and linear matrix, which is very directly perceived and easy to operate.