Fault-tolerant fixed/preassigned-time synchronization control of uncertain singularly perturbed complex networks with time-varying delay and stochastic disturbances

Abstract

This paper focuses on the fixed-time (FXT) and preassigned-time (PAT) synchronization of uncertain singularly perturbed complex networks (SPCNs) with time-varying delay and stochastic disturbances. Firstly, the fault-tolerant quantized state feedback control strategy for the SPCNs systems to reach PAT and FXT synchronization is considered for the first time. Besides, by adopting suitable Lyapunov functional with parameter ɛ, with an approach of comparison system and mathematical techniques, the FXT synchronization criteria can be obtained. Next, the PAT synchronization can also be derived, which the synchronization time will be pre-designed based on the actual case. Finally, two simulation examples are presented to verify the effectiveness of the obtained results.