Nonlinear analysis of ring oscillator circuits

Xiaoqing Ge; Murat Arcak; Khaled N Salama; IEEE

doi:10.1109/ACC.2010.5531471

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Conference proceeding

Nonlinear analysis of ring oscillator circuits

Xiaoqing Ge, Murat Arcak, Khaled N Salama and IEEE

Proceedings of the 2010 American Control Conference, pp.1772-1776

06/2010

DOI: https://doi.org/10.1109/ACC.2010.5531471

Abstract

Asymptotic stability

Circuit stability

Feedback loop

Frequency synchronization

Integrated circuit interconnections

Inverters

Nonlinear systems

Ring oscillators

Stability analysis

Sufficient conditions

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.

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Details

Title: Nonlinear analysis of ring oscillator circuits
Creators - without role: Xiaoqing Ge - Rensselaer Polytechnic Institute
Murat Arcak - University of California, Berkeley
Khaled N Salama - King Abdullah University of Science and Technology
IEEE
Publication Details: Proceedings of the 2010 American Control Conference, pp.1772-1776
Publisher: IEEE
Identifiers: 9944752908331
Academic Unit: Imam Abdulrahman Bin Faisal University
Language: English
Resource Type: Conference proceeding