中文摘要：

考虑一类带有部分未知转移率，以及含有内部时滞和耦合时滞的马氏跳复杂网络的有限时间同步问题．通过构造适当的随机Lyapunov-Krasovskii函数，利用有限时间稳定定理以及矩阵不等式得到保证该网络在一个确定时间内达到同步的判据．有限时间同步意味着可获得最佳收敛时间及较好的鲁棒性和抗干扰性．数值模拟验证了所得理论结果的有效性．

英文摘要：

A finite-time synchronization issue on a class of Markovian jump complex networks with partially unknown transition rates and time delays, including internal delay and coupling delay, is studied. With finite-time stability theorem and matrix inequality, some sufficient criteria have been proposed to guarantee the synchronization during a setting time by constructing the suitable stochastic Lyapunov-Krasovskii function. Since finite-time synchronization suggests optimality in convergence time, better robustness and better disturbance rejection properties, the results are important. The validity and effectiveness of the theoretical result are verified with several numerical simulations.