This paper studies quasi-synchronization in networked heterogeneous harmonic oscillators. By introducing a leader, two distributed synchronization protocols are first proposed for heterogeneous networks by utilizing continuous real-time information and aperiodic sampled-data information. Then, the sufficient conditions on quasi-synchronization are established for heterogeneous networks coupled with nonidentical harmonic oscillators. It is found that each follower oscillator can converge to a bounded region of the leader by adopting either a continuous-time protocol or sampled-data protocol. The upper bound of the region is solved for networked heterogeneous harmonic oscillators. Finally, an electrical network is provided to illustrate the applicability of the theoretical results, and two examples are provided to illustrate the effectiveness of the sufficient criteria.

中文翻译：

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具有连续和采样耦合的异质谐波振荡器中的准同步

本文研究了网络化异构谐振子中的准同步。通过引入领导者，首先通过利用连续实时信息和非周期性采样数据信息为异构网络提出了两种分布式同步协议。然后，建立了耦合不同谐振子的异构网络准同步的充分条件。发现通过采用连续时间协议或采样数据协议，每个跟随者振荡器都可以收敛到领导者的有界区域。该区域的上限是针对联网的异构谐振子求解的。最后，提供了一个电气网络来说明理论结果的适用性，