This paper studies the adaptive group synchronization of second-order nonlinear complex dynamical networks with sampled-data and time-varying delays by designing a new adaptive strategy to feedback gains and coupling strengths. According to Lyapunov stability properties, it is shown that the agents of subgroups can converge the given synchronous states, respectively, under some conditions on the sampled period. Moreover, some simulation results are given.

中文翻译：

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具有时变时滞的二阶非线性复杂动力网络的基于采样数据的自适应群同步

通过设计一种新的反馈增益和耦合强度自适应策略，研究了具有采样数据和时变时滞的二阶非线性复杂动力网络的自适应群同步。根据Lyapunov稳定性，证明了子组的智能体可以在采样周期的某些条件下分别收敛给定的同步状态。此外，给出了一些仿真结果。