This paper studies the finite-time stabilization (FTS) of nonlinear systems with impulsive disturbance, where the effect of saturation structure on the control input is fully considered. By establishing a potential relationship between saturation structure and impulsive disturbance, some FTS criteria are presented via a class of saturated control input, where estimations of domain of attraction and settling-time are derived. Compared with the control input without saturation structure, the constraints on impulse time sequence are strengthened to guarantee that the saturated control input has an effective stabilizing effect on the system. Based on such constraints, the system subjected to impulsive disturbance can still achieve FTS. Then theoretical results are applied to finite-time synchronization for a class of impulsive dynamical networks. Finally, two examples and their simulations are given to illustrate the effectiveness of the proposed results.

本文研究了具有脉冲扰动的非线性系统的有限时间镇定( FTS )，其中充分考虑了饱和结构对控制输入的影响。通过建立饱和结构和脉冲干扰之间的潜在关系，通过一类饱和控制输入提出了一些FTS准则，其中得出了对吸引域和稳定时间的估计。与无饱和结构的控制输入相比，加强了对脉冲时序的约束，保证饱和控制输入对系统具有有效的稳定作用。基于这样的约束，受到脉冲扰动的系统仍然可以实现FTS. 然后将理论结果应用于一类脉冲动态网络的有限时间同步。最后，给出了两个例子及其模拟来说明所提出结果的有效性。