Delay-independent practical synchronization in networks of nonlinear systems with transmission delay couplings

Abstract

This paper is concerned with a practical synchronization problem in networks of nonidentical or perturbed nonlinear systems with transmission delay couplings. In particular, we focus on delay independent practical synchronization in particular networks, whose either the synchronization error dynamics are described by ordinary differential equations without delay terms, or the network structures are undirected rings. In such network systems, we show practical synchronization emerges for any coupling strength larger than a threshold value, irrespective of the time-delay length. Numerical examples illustrate the validity of obtained results.