A novel robust fixed time synchronization of complex network subject to input nonlinearity in the presence of uncertainties and external disturbances

This paper studies the global fixed time synchronization of complex dynamical network, including non-identical nodes with disturbances and uncertainties as well as input nonlinearity. First, a novel fixed time sliding manifold is constructed to achieve the fixed time synchronization of complex dynamical network with disturbances and uncertainties. Second, a novel sliding mode controller is proposed to realize the global fixed time reachability of sliding surfaces. The outstanding feature of the designed control is that the fixed convergence time of both reaching and sliding modes can be adjusted to the desired values in advance by choosing the explicit parameters in the controller, which does not rest upon the initial conditions and the topology of the network. Finally, the effectiveness and validity of the obtained results are demonstrated by corresponding numerical simulations. 本文研究了具有扰动和不确定性的不相同节点以及输入非线性的复杂动态网络全局固定时间同 步问题。首先, 构造了一种固定时间滑动流形来实现具有扰动和不确定性的复杂动态网络的固定时间 同步。其次, 提出了使用滑模控制器来实现滑模表面的全局固定时间可达性, 其特点是不依赖于初始 条件和网络拓扑结构, 通过选择控制器中的显式参数, 可以将到达模态和滑模态的固定收敛时间提前 调整到期望值。最后, 通过相应的数值模拟验证了结果的有效性。在不确定性和外界干扰的情况下, 考虑输入非线性的复杂网络的鲁棒定常时间同步问题