Fixed-Time Synchronization of Complex Networks With a Simpler Nonchattering Controller

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.