中文摘要：

针对具有时滞的复杂网络，研究了此类系统的保性能控制问题。利用Lyapunov,％性定理和线性矩阵不等式工具，得到了时滞复杂网络保性能控制存在的充分条件。设计的具有增益摄动的状态反馈控制器，既可以保证系统渐近稳定，又可使系统的性能指标满足一定的要求，最后通过数值算例验证了设计方法的可行性。

英文摘要：

The guaranteed cost control problem of some general complex dynamical networks with time delay is investigated. A sufficient condition for the existence of guaranteed cost controller for complex network with time delay is derived in terms of Lyapunov stability theory and Linear Matrix Inequalities （LMI）. The state feedback controller with gain perturbations is designed to achieve the asy1mptotic stability of the system, meanwhile, guarantee system performance satisfying certain requirements. A numerical example is given to demonstrate the feasibility of proposed method.