中立型Lurie控制系统的绝对稳定性判据

Absolute stability analysis of neutral type Lurie control systems

利用Lyapunov泛函方法,对中立型Lurie控制系统的绝对稳定性进行分析,得到了系统绝对稳定的时滞相关条件与时滞无关条件,这些条件用线性矩阵不等式表示易于验证且保守性低.

Using Lyapunov functional method, this paper analyses the absolute stability of neutral type Lurie control systems. Two delay-dependent conditions for the absolute stability of such systems are obtained. The derived sufficient conditions are expressed in terms of linear matrix inequality (LMI) which can be easily validated. A numerical example is given to illustrate the effectiveness of the proposed method.