Nonlinear analysis of ring oscillator circuits

Xiaoqing Ge; Murat Arcak; Khaled N. Salama

doi:10.1109/ACC.2010.5531471

Nonlinear analysis of ring oscillator circuits

Xiaoqing Ge, Murat Arcak, Khaled N. Salama

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

5 Scopus citations

Abstract

Using nonlinear systems techniques, we analyze the stability properties and synchronization conditions for ring oscillator circuits, which are essential building blocks in digital systems. By making use of its cyclic structure, we investigate local and global stability properties of an n-stage ring oscillator. We present a sufficient condition for global asymptotic stability of the origin and obtain necessity if the ring oscillator consists of identical inverter elements. We then give a synchronization condition for identical interconnected ring oscillators.

Original language	English (US)
Title of host publication	Proceedings of the 2010 American Control Conference
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)	9781424474264
DOIs	https://doi.org/10.1109/ACC.2010.5531471
State	Published - Jun 2010

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10.1109/ACC.2010.5531471

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title = "Nonlinear analysis of ring oscillator circuits",

abstract = "Using nonlinear systems techniques, we analyze the stability properties and synchronization conditions for ring oscillator circuits, which are essential building blocks in digital systems. By making use of its cyclic structure, we investigate local and global stability properties of an n-stage ring oscillator. We present a sufficient condition for global asymptotic stability of the origin and obtain necessity if the ring oscillator consists of identical inverter elements. We then give a synchronization condition for identical interconnected ring oscillators.",

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

note = "KAUST Repository Item: Exported on 2020-10-01",

year = "2010",

month = jun,

doi = "10.1109/ACC.2010.5531471",

language = "English (US)",

isbn = "9781424474264",

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publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

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T1 - Nonlinear analysis of ring oscillator circuits

AU - Ge, Xiaoqing

AU - Arcak, Murat

AU - Salama, Khaled N.

N1 - KAUST Repository Item: Exported on 2020-10-01

PY - 2010/6

Y1 - 2010/6

N2 - Using nonlinear systems techniques, we analyze the stability properties and synchronization conditions for ring oscillator circuits, which are essential building blocks in digital systems. By making use of its cyclic structure, we investigate local and global stability properties of an n-stage ring oscillator. We present a sufficient condition for global asymptotic stability of the origin and obtain necessity if the ring oscillator consists of identical inverter elements. We then give a synchronization condition for identical interconnected ring oscillators.

AB - Using nonlinear systems techniques, we analyze the stability properties and synchronization conditions for ring oscillator circuits, which are essential building blocks in digital systems. By making use of its cyclic structure, we investigate local and global stability properties of an n-stage ring oscillator. We present a sufficient condition for global asymptotic stability of the origin and obtain necessity if the ring oscillator consists of identical inverter elements. We then give a synchronization condition for identical interconnected ring oscillators.

UR - http://hdl.handle.net/10754/564283

UR - http://ieeexplore.ieee.org/document/5531471/

U2 - 10.1109/ACC.2010.5531471

DO - 10.1109/ACC.2010.5531471

M3 - Conference contribution

SN - 9781424474264

BT - Proceedings of the 2010 American Control Conference

PB - Institute of Electrical and Electronics Engineers (IEEE)

ER -

Nonlinear analysis of ring oscillator circuits

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