中文摘要：

研究了具有离散变化时滞和无界分布时滞的脉冲复值神经网络的稳定性,在所研究的神经网络中,活动函数仅仅要求满足Lipschitz条件.运用同胚映射原理,证明了具有混合时滞的脉冲复值神经网络平衡点的存在性和唯一性.通过构造Lyapunov-Krasovskii泛函,使用自由权矩阵方法和不等式技巧,获得了网络平衡点的全局μ-稳定性的充分性判据.数值仿真实例验证了结果的有效性.

英文摘要：

The global μ-stability of impulsive complex-valued neural networks with mixed time-varying delays was investigated. For the considered complex-valued neural networks,the activation functions only need to satisfy the Lipschitz conditions. Based on the homeomorphism mapping principle in the complex domain,a sufficient condition for the existence and uniqueness of the equilibrium point of the addressed complex-valued neural network was proposed in terms of linear matrix inequalities（ LM Is）. Through construction of appropriate Lyapunov-Krasovskii functionals,and with the free weighting matrix method and inequality technique,a delay-dependent criterion for checking the global μ-stability of the complexvalued neural networks was established in terms of LM Is. Finally,a simulation example was given to showthe effectiveness of the obtained results.