Fast finite-time quantized control of multi-layer networks and its applications in secure communication

This paper introduces a quantized controller to address the challenge of fast finite-time synchronization of multi-layer networks, where each layer represents a distinct type of interaction within complex systems. Firstly, based on the stability theory, a novel fast finite-time stability criterion is derived, which can seta smaller upper limit of the settling time by comparing it with the general finite-time stability. Secondly, by converting continuous error signals into piecewise continuous forms, a quantized control scheme is employed to realize fast finite-time synchronization in multi-layer networks, which can save control resources and alleviate communication congestion. Finally, the feasibility of the quantized control algorithm in multi-layer network synchronization and its applications in secure communication are verified through numerical simulation.