This paper considers the finite-time drive-response synchronization of stochastic nonlinear systems consisting of continuous-time and discrete-time subsystems. To save communication resources and reduce control cost, quantized controllers, which only work on continuous-time intervals, are designed. Owing to the hybrid characteristics of continuous- and discrete-time subsystems, existing finite-time stability theorems are not applicable. By developing novel analytical techniques, three criteria are derived to guarantee the finite-time synchronization. Moreover, the settling time is explicitly estimated. It is shown that the settling time is dependent not only on the control gains and systems’ initial conditions, but also on the control width and uncontrolled width. Numerical examples demonstrate the effectiveness of the theoretical analysis.

本文考虑了由连续时间子系统和离散时间子系统组成的随机非线性系统的有限时间驱动响应同步。为了节省通信资源并降低控制成本，设计了仅在连续时间间隔内工作的量化控制器。由于连续时间子系统和离散时间子系统的混合特性，现有的有限时间稳定性定理不适用。通过开发新颖的分析技术，导出了三个标准以保证有限时间的同步。而且，显式估计了建立时间。结果表明，建立时间不仅取决于控制增益和系统的初始条件，还取决于控制宽度和非控制宽度。数值例子证明了理论分析的有效性。