中文摘要：

考虑了一类不确定非线性时滞系统的自适应控制．基于Lyapunov稳定性理论和线性矩阵不等式（LMI）方法，处理了系统中的时滞项，并且巧妙地构造了自适应控制器和反馈控制器．通过估计非线性部分的未知参数，自适应控制器补偿了系统中的非线性部分，并保证了闭环系统是渐近稳定的．最后，数值例子和仿真结果验证了所设计控制器的有效性．

英文摘要：

Adaptive control is considered over a class of uncertain nonlinear time - delay system. Based on Lyapunov stability theory and linear matrix inequalities （LMI） approach, the time-delay term is dealt with and the adaptive controller and feedback controller are cleverly constructed in the system. By estimating the unknown parameters of nonlinear part, the adaptive controller compensates the nonlinear part, and ensures that the dosed-loop system is asymptotically stable. Finally, numerical examples and simulation results verify the effectiveness of the designed controller.