Title :
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.
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;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.376762
