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
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	13-18
Number of pages	6
ISBN (Print)	9781424431243
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

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

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",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "13--18",

booktitle = "Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008",

address = "United States",

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

}

Ge, X, Arcak, M & Salama, KN 2008, Nonlinear Analysis of Cross-Coupled Oscillator Circuits. in Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008., 4738885, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 13-18, 47th IEEE Conference on Decision and Control, CDC 2008, Cancun, Mexico, 12/9/08. https://doi.org/10.1109/CDC.2008.4738885

Nonlinear Analysis of Cross-Coupled Oscillator Circuits. / Ge, Xiaoqing; Arcak, Murat; Salama, Khaled Nabil.
Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc., 2008. p. 13-18 4738885 (Proceedings of the IEEE Conference on Decision and Control).

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

TY - GEN

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.

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U2 - 10.1109/CDC.2008.4738885

DO - 10.1109/CDC.2008.4738885

M3 - Conference contribution

AN - SCOPUS:62949172957

SN - 9781424431243

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 13

EP - 18

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

PB - Institute of Electrical and Electronics Engineers Inc.

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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