中文摘要：

研究一类含非线性扰动和混合时变时滞的中立型系统时滞相关鲁棒稳定性问题．通过构造包含三重积分项的Lyapunov—Krasovskii的泛函，结合积分不等式和自由权矩阵技术，建立了基于线性矩阵不等式（LMI）形式的离散时滞和中立时滞均相关的稳定性新判据．判据扩大了系统稳定所允许的最大时滞上界范围，具有更低的保守性．利用MATLAB的LMI工具箱进行了数值仿真，仿真算例验证了所提出的稳定性判据的有效性．

英文摘要：

This paper investigates delay-dependent robust stability problem for neutral system with mixed time-varying delays and nonlinear perturbation. By constructing a new Lyapunov-Krasovskii functional which contains some triple integral terms, combined with integral inequalities and free-weighting matrix technique, a neutral and discrete delay-dependent stability criterion for the system is formulated in terms of linear matrix inequalities （LMIs）. This criterion enlarges the upper bound of the time-delay and has less conservative. Using MATLAB Toolbox LMI, made some numerical simulation. The simulation results demonstrated the effectiveness of the proposed stability criterion.