Topology identification for fractional complex networks with synchronization in finite time based on adaptive observers and event-triggered control

This paper considers the topology identification issue for fractional complex networks (FCNs) based on the synchronization in finite-time. Firstly, two lemmas with respect to the convergence of a continuous differential function and its Caputo fractional derivative are developed, respectively. Secondly, a fractional auxiliary network, which consists of the isolated chaotic system, is introduced to avoid the requirement for the