Finite-Time Bipartite Tracking Consensus of Fractional-Order Multi-Layer Signed Networks by Aperiodically Intermittent Control

In this paper, we solve the finite-time bipartite tracking consensus problem in fractional-order multi-layer signed networks by intermittent control. It is worth emphasizing that, unlike most related papers that consider integer-order systems, we consider fractional-order systems, and extend the traditional single-layer networks to finite layers, which is more general. To solve this problem, we design an intermittent control protocol, and use Node-Lyapunov method and limit theory to prove that when the control time is longer than a threshold time, followers can achieve tracking consensus with the leader within a given time. At the end of the paper, we provide two numerical simulations to demonstrate the effectiveness of theorems.