中文摘要：

针对网络控制系统中时延不确定因素，将时延的不确定性转换为系统状态方程系数矩阵的不确定性．基于LMI和Lyapunov理论，研究了一类具有时延的网络控制系统的稳定性问题，并运用Lyapunov方法和线性矩阵不等式对不确定时延系统进行了稳定性分析。并以Riccati不等式和线性矩阵不等式的形式给出了系统稳定的充分条件，使得在不确定时延情况下，系统达到理想稳定性。最后，通过Matlab工具箱对数值结果进行仿真，在时延相关情况下，求得系统达到闭环稳定时最大允许的时延，表明了设计方法的有效性。

英文摘要：

To solve the problem of uncertain time delay in the networked control systems （NCS）, the uncertain of time delay is conver- ted to the uncertainty of parameter matrixes. Based on LMI and Lyapunov theory, this paper studies a class of delay of networked control systems＇ stability with uncertain time delays by using Lyapunov method and linear matrix inequalities. The sufficient condition of the systems＇ stability is given by the Riecati inequality and linear matrix inequalities, so that the systems could achieve desired stability un- der the uncertain time delay. In the end, by using MATLAB simulation toolbox, the numerical results show that the method is valid under the delay -related condition. The maximum allowable delay is obtained when the systems reach closed -1ooo stability.