Parameter estimation and synchronization between uncertain laser networks with delayed coupling and different node dynamics

Abstract

Actual network typically has different node dynamics, uncertainties, and delay effects. Therefore, when studying the synchronization between laser networks, fully considering these practical situations has important practical value. In this work, we not only consider the delay effect of connections between laser network nodes, but also assume the existence of uncertain parameter and different dynamics of network nodes. Therefore, uncertain parameter in the laser network is identified through the designed parameter identification law. Meanwhile, we design a suitable Lyapunov–Krasovskii functional to obtain the synchronization criterion between laser networks. Finally, we verify the main results of the theoretical analysis through numerical simulations, and find that they are completely consistent.