Stochastic Synchronization of Semi-Markovian Switching Cyber-Physical Impulsive Complex Networks via Dynamic Event-Triggered SMC

In this paper, a novel dynamic event-triggered sliding mode control (SMC) scheme is developed to investigate the stochastic synchronization of semi-Markovian switching cyber-physical complex network (SSCCN) with impulsive effects. First of all, the mode-dependent average dwell time (MDADT) and the transition probability (TP) are introduced to express the semi-Markovian switching signal, which makes the proposed model more applicable than other systems where only the average dwell time (ADT) switching is provided. Moreover, to prevent system uncertainty and unnecessary data transmission, a new dynamic event-triggered mechanism is incorporated into the design of SMC. In most of the existing event-triggered SMC strategies, the continuity of sliding mode surfaces for SSCCN is lost due to intermittent impulsive effects and stochastic switching in the system. Considering this problem, a piecewise mode-independent integral sliding function is put forward that takes into account the dynamic properties of the impulses through the proposed dynamic event-triggered mechanism. It can not only obtain the continuous trajectories of the impulsive networked system, but also significantly reduce the number of event triggers. Some rigorous analytical techniques have been developed to obtain the sufficient conditions required to ensure both the mean square synchronization (MSS) and almost sure synchronization (ASS) of SSCCN. Finally, some numerical examples are presented to demonstrate the effectiveness of the theoretical analysis.