This brief investigates the fixed-time synchronization of complex networks with a simpler nonchattering controller. First, a new finite-time stability theorem is proposed. Second, a novel sufficient criterion is derived for fixed-time synchronized of complex networks. Compared with some existing results, the new controller without sign function is designed to realize fixed-time synchronization. Moreover, the designed controller without include the linear parts, which means the controller is simpler than the existing controllers by using finite-/fixed-time methods, and the chattering phenomenon can also be avoided. Finally, the application of fixed-time non-chattering controller is discussed by designing synchronization circuit of complex systems.

中文翻译：

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复杂网络与更简单的无抖动控制器的固定时间同步

本简介研究了复杂网络与更简单的无抖动控制器的固定时间同步。首先，提出了一个新的有限时间稳定性定理。其次，为复杂网络的固定时间同步推导出了一个新的充分标准。与现有的一些结果相比，设计了无符号功能的新控制器来实现固定时间同步。此外，所设计的控制器不包含线性部分，这意味着控制器比现有控制器使用有限/固定时间方法更简单，并且还可以避免颤振现象。最后，通过设计复杂系统的同步电路，讨论了固定时间无抖动控制器的应用。