Nonlinear Analysis of Cross-Coupled Oscillator Circuits

Xiaoqing Ge; Murat Arcak; Khaled Nabil Salama

doi:10.1109/CDC.2008.4738885

Nonlinear Analysis of Cross-Coupled Oscillator Circuits

Xiaoqing Ge^*, Murat Arcak, Khaled Nabil Salama

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Scopus citations

Abstract

We study global stability properties of a class of cross-coupled oscillators which admit the representation of a dynamic system in feedback with a static nonlinearity. We present sufficient conditions for almost global convergence of the solutions to a limit cycle when the feedback gain is in the neighborhood of the bifurcation point. The result is then extended to the synchronization of interconnected identical cross-coupled oscillators.

Original language	English (US)
Title of host publication	Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Pages	13-18
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2008.4738885
State	Published - 2008
Externally published	Yes
Event	47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico Duration: Dec 9 2008 → Dec 11 2008

Other

Other	47th IEEE Conference on Decision and Control, CDC 2008
Country/Territory	Mexico
City	Cancun
Period	12/9/08 → 12/11/08

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

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10.1109/CDC.2008.4738885

Cite this

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title = "Nonlinear Analysis of Cross-Coupled Oscillator Circuits",

abstract = "We study global stability properties of a class of cross-coupled oscillators which admit the representation of a dynamic system in feedback with a static nonlinearity. We present sufficient conditions for almost global convergence of the solutions to a limit cycle when the feedback gain is in the neighborhood of the bifurcation point. The result is then extended to the synchronization of interconnected identical cross-coupled oscillators.",

author = "Xiaoqing Ge and Murat Arcak and Salama, {Khaled Nabil}",

year = "2008",

doi = "10.1109/CDC.2008.4738885",

language = "English (US)",

isbn = "9781424431243",

pages = "13--18",

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note = "47th IEEE Conference on Decision and Control, CDC 2008 ; Conference date: 09-12-2008 Through 11-12-2008",

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T1 - Nonlinear Analysis of Cross-Coupled Oscillator Circuits

AU - Ge, Xiaoqing

AU - Arcak, Murat

AU - Salama, Khaled Nabil

PY - 2008

Y1 - 2008

N2 - We study global stability properties of a class of cross-coupled oscillators which admit the representation of a dynamic system in feedback with a static nonlinearity. We present sufficient conditions for almost global convergence of the solutions to a limit cycle when the feedback gain is in the neighborhood of the bifurcation point. The result is then extended to the synchronization of interconnected identical cross-coupled oscillators.

AB - We study global stability properties of a class of cross-coupled oscillators which admit the representation of a dynamic system in feedback with a static nonlinearity. We present sufficient conditions for almost global convergence of the solutions to a limit cycle when the feedback gain is in the neighborhood of the bifurcation point. The result is then extended to the synchronization of interconnected identical cross-coupled oscillators.

UR - http://www.scopus.com/inward/record.url?scp=62949172957&partnerID=8YFLogxK

U2 - 10.1109/CDC.2008.4738885

DO - 10.1109/CDC.2008.4738885

M3 - Conference contribution

AN - SCOPUS:62949172957

SN - 9781424431243

SP - 13

EP - 18

BT - Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008

T2 - 47th IEEE Conference on Decision and Control, CDC 2008

Y2 - 9 December 2008 through 11 December 2008

ER -

Nonlinear Analysis of Cross-Coupled Oscillator Circuits

Abstract

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