Fixed-time and preassigned-time stochastic synchronization of complex networks via quantized event-triggered strategy

This paper considers the fixed-time (FXT) and preassigned-time (PAT) stochastic synchronization of complex dynamic networks (CDN) based on the quantized event-triggered strategy. First, by applying some constructing comparison systems, more relaxed criteria are proposed for FXT stability and the estimated settling time is more accurate. Second, the FXT quantized event-triggered control schemes with sign or saturation function are designed, in which Zeno behavior is excluded and chattering phenomenon is reduced under the control strategies with saturation function. Besides, the quantized event-triggered control schemes can more effectively save resources of communication and computation. Third, several novel quantized event-triggered strategies are designed to achieve PAT synchronization, where the settling time can be preassigned according to realistic situation and is irrelevant with parameters and initial values of CDN. Finally, numerical example proves the rationality of the theories for the FXT and PAT stochastic synchronization of CDN.

Automated summary

This paper explores fixed-time (FXT) and preassigned-time (PAT) stochastic synchronization of complex dynamic networks (CDN) based on the quantized event-triggered strategy. It introduces more relaxed criteria for FXT stability and designs effective control schemes to achieve PAT synchronization. The strategies can save resources and the settling time is independent of the parameters and initial values of CDN in stochastic synchronization.