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Synchonization in oscillator networks with heterogeneous delays, switching topologies and nonlinear dynamics

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 a...

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Publication status:
Published

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Publisher copy:
10.1109/CDC.2006.376762

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author
Host title:
PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14
Pages:
4307-4312
Publication date:
2006-01-01
DOI:
ISSN:
0191-2216
ISBN:
9781424401703
Pubs id:
pubs:64653
UUID:
uuid:aa532b8d-2ffb-4547-97c3-5699a77b899c
Local pid:
pubs:64653
Source identifiers:
64653
Deposit date:
2012-12-19

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