Synchonization in Oscillator Networks with Heterogeneous Delays, Switching Topologies and Nonlinear Dynamics

Author

Papachristodoulou, Antonis ; Jadbabaie, Ali

Author_Institution

Dept. of Eng. Sci., Oxford Univ.

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

4307

Lastpage

4312

Abstract

This paper investigates the attractivity properties of the locked-in-phase equilibria set in oscillator networks, in the presence of multiple, non-commensurate communication delays. The dynamics that the oscillators are endowed with are in the form of nonlinear delay differential equations, with Kuramoto-type interactions. Using an appropriate LaSalle invariance principle we assess the attractivity properties of this set for arbitrary topology interconnections. We then show that this set is also asymptotically attracting even if the network topology is allowed to change

Keywords

delays; invariance; nonlinear differential equations; nonlinear dynamical systems; synchronisation; telecommunication control; telecommunication network topology; telecommunication switching; Kuramoto-type interactions; communication delays; heterogeneous delays; invariance principle; locked-in-phase equilibria; network topology; nonlinear delay differential equations; nonlinear dynamics; oscillator networks; switching topologies; synchonization; Communication switching; Delay; Differential equations; Large-scale systems; Network topology; Oscillators; Robust stability; Scalability; Semiconductor laser arrays; USA Councils;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.376762

Filename

4177601