Synchronizing coupled semiconductor lasers under general coupling topologies

Shuai Li; Yi Guo; Yehuda Braiman

Synchronizing coupled semiconductor lasers under general coupling topologies

Shuai Li, Yi Guo, Yehuda Braiman

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

2 Citations (Scopus)

Abstract

We consider synchronization of coupled semiconductor lasers modeled by coupled Lang and Kobayashi equations. We first analyze decoupled laser stability, and then characterize synchronization conditions of coupled laser dynamics. We rigorously prove that the coupled system locally synchronizes to a limit cycle under the coupling topology of an undirected connected graph with equal in-degrees. Graph and systems theory is used in synchronization analysis. The results not only contribute to analytic understanding of semiconductor lasers, but also advance cooperative control by providing a realworld system of coupled limit-cycle oscillators.

Original language	English
Title of host publication	2013 American Control Conference, ACC 2013
Pages	1231-1236
Number of pages	6
Publication status	Published - 11 Sept 2013
Externally published	Yes
Event	2013 1st American Control Conference, ACC 2013 - Washington, DC, United States Duration: 17 Jun 2013 → 19 Jun 2013

Conference

Conference	2013 1st American Control Conference, ACC 2013
Country/Territory	United States
City	Washington, DC
Period	17/06/13 → 19/06/13

Keywords

coupling topology
Nonlinear systems
semiconductor lasers
synchronization

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

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title = "Synchronizing coupled semiconductor lasers under general coupling topologies",

abstract = "We consider synchronization of coupled semiconductor lasers modeled by coupled Lang and Kobayashi equations. We first analyze decoupled laser stability, and then characterize synchronization conditions of coupled laser dynamics. We rigorously prove that the coupled system locally synchronizes to a limit cycle under the coupling topology of an undirected connected graph with equal in-degrees. Graph and systems theory is used in synchronization analysis. The results not only contribute to analytic understanding of semiconductor lasers, but also advance cooperative control by providing a realworld system of coupled limit-cycle oscillators.",

keywords = "coupling topology, Nonlinear systems, semiconductor lasers, synchronization",

author = "Shuai Li and Yi Guo and Yehuda Braiman",

year = "2013",

month = sep,

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language = "English",

isbn = "9781479901777",

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note = "2013 1st American Control Conference, ACC 2013 ; Conference date: 17-06-2013 Through 19-06-2013",

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T1 - Synchronizing coupled semiconductor lasers under general coupling topologies

AU - Li, Shuai

AU - Guo, Yi

AU - Braiman, Yehuda

PY - 2013/9/11

Y1 - 2013/9/11

N2 - We consider synchronization of coupled semiconductor lasers modeled by coupled Lang and Kobayashi equations. We first analyze decoupled laser stability, and then characterize synchronization conditions of coupled laser dynamics. We rigorously prove that the coupled system locally synchronizes to a limit cycle under the coupling topology of an undirected connected graph with equal in-degrees. Graph and systems theory is used in synchronization analysis. The results not only contribute to analytic understanding of semiconductor lasers, but also advance cooperative control by providing a realworld system of coupled limit-cycle oscillators.

AB - We consider synchronization of coupled semiconductor lasers modeled by coupled Lang and Kobayashi equations. We first analyze decoupled laser stability, and then characterize synchronization conditions of coupled laser dynamics. We rigorously prove that the coupled system locally synchronizes to a limit cycle under the coupling topology of an undirected connected graph with equal in-degrees. Graph and systems theory is used in synchronization analysis. The results not only contribute to analytic understanding of semiconductor lasers, but also advance cooperative control by providing a realworld system of coupled limit-cycle oscillators.

KW - coupling topology

KW - Nonlinear systems

KW - semiconductor lasers

KW - synchronization

UR - http://www.scopus.com/inward/record.url?scp=84883498277&partnerID=8YFLogxK

M3 - Conference article published in proceeding or book

SN - 9781479901777

SP - 1231

EP - 1236

BT - 2013 American Control Conference, ACC 2013

T2 - 2013 1st American Control Conference, ACC 2013

Y2 - 17 June 2013 through 19 June 2013

ER -

Synchronizing coupled semiconductor lasers under general coupling topologies

Abstract

Conference

Keywords

ASJC Scopus subject areas

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