In this paper, the global stochastic synchronization in finite time is discussed for discontinuous semi-Markovian switching neural networks with mixed time-varying delays under stochastic disturbance based on event-triggered non-fragile control scheme. By applying the novel hybrid controller, which is composed of the event-triggered controller, the non-fragile controller and the switching state-feedback controller, the global stochastic synchronization goals in finite time are achieved. Under Filippov differential inclusion framework, based on non-smooth analysis theory, general free-weighting matrix method, Lyapunov–Krasovskii functional approach and inequality analysis technique, the global stochastic synchronization conditions in finite time are addressed in terms of linear matrix inequalities. Moreover, the expressions about the upper bound of stochastic settling time are explicitly developed. Finally, two numerical examples are provided to illustrate the feasibility of the proposed control scheme and the validity of theoretical results.

中文翻译：

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具有不连续激活的时滞半马尔可夫跳跃神经网络在有限时间内的事件触发随机同步

基于事件触发的非脆弱控制方案，研究了随机扰动下具有混合时变时滞的不连续半马氏切换神经网络在有限时间内的全​​局随机同步。通过应用由事件触发控制器，非脆弱控制器和开关状态反馈控制器组成的新型混合控制器，实现了有限时间内的全​​局随机同步目标。在Filippov微分包含框架下，基于非光滑分析理论，通用自由加权矩阵方法，Lyapunov-Krasovskii函数方法和不等式分析技术，利用线性矩阵不等式解决了有限时间内的全​​局随机同步条件。此外，明确建立了关于随机稳定时间上限的表达式。最后，通过两个数值例子说明了所提控制方案的可行性和理论结果的有效性。