Adaptive Synchronization in Coupled Dynamic Networks

TL;DR

This paper presents a method for adaptive synchronization in coupled nonlinear networks, allowing for parameter estimation, network expansion, and dynamic information recovery without prior knowledge of individual node dynamics.

Contribution

It introduces adaptive synchronization techniques that enable parameter estimation and dynamic recovery in coupled networks with unknown parameters, even when adding new nodes.

Findings

Adaptive synchronization preserves global conditions.

Exact parameter estimation is possible with rich dynamics.

Networks can incorporate new nodes without prior knowledge.

Abstract

This paper studies synchronization in coupled nonlinear dynamic networks with unknown parameters. Adaptation can be added to one or several elements in the network, while preserving the global synchronization conditions derived in previously. This implies that new nodes can be added to the network without prior knowledge of the individual dynamics, and that nodes in an existing network have the ability to recover dynamic information if temporarily lost. In addition, when the individual elements feature sufficiently rich stable dynamics, as e.g. in the case of oscillators, then adaptation actually leads to an exact estimation of the unknown parameters. Different kinds of leaders are also discussed in this context - one type of leader can specify overall trajectories for the network, while another can concurrently specify dynamic parameters.