Decentralized adaptive synchronization in nonlinear dynamical networks with nonidentical nodes

TL;DR

This paper presents a decentralized adaptive control method for synchronizing nonlinear dynamical networks with nonidentical nodes, using passivity and speed-gradient techniques, even with incomplete measurements and uncertainties.

Contribution

It introduces a novel adaptive controller design and analysis framework for nonidentical nonlinear networks under practical measurement and control limitations.

Findings

Synchronization conditions are established for nonidentical nodes.

The method is demonstrated on a network of nonidentical Chua systems.

The approach handles incomplete measurements and uncertainties effectively.

Abstract

For a network of interconnected nonlinear dynamical systems an adaptive leader-follower output feedback synchronization problem is considered. The proposed structure of decentralized controller and adaptation algorithm is based on speed-gradient and passivity. Sufficient conditions of synchronization for nonidentical nodes are established. An example of synchronization of the network of nonidentical Chua systems is analyzed. The main contribution of the paper is adaptive controller design and analysis under conditions of incomplete measurements, incomplete control and uncertainty.