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    Nonlinear Analysis of Ring Oscillator and Cross-Coupled Oscillator Circuits

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    Type
    Article
    Authors
    Ge, Xiaoqing
    Arcak, Murat
    Salama, Khaled N. cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Sensors Lab
    Date
    2010-12
    Permanent link to this record
    http://hdl.handle.net/10754/247352
    
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    Abstract
    Hassan Khalil’s research results and beautifully written textbook on nonlinear systems have influenced generations of researchers, including the authors of this paper. Using nonlinear systems techniques, this paper analyzes ring oscillator and cross-coupled oscillator circuits, which are essential building blocks in digital systems. The paper first investigates local and global stability properties of an n-stage ring oscillator by making use of its cyclic structure. It next studies global stability properties of a class of cross-coupled oscillators which admit the representation of a dynamic system in feedback with a static nonlinearity, and presents su cient conditions for almost global convergence of the solutions to a limit cycle when the feedback gain is in the vicinity of a bifurcation point. The result are also extended to the synchronization of interconnected identical oscillator circuits.
    Publisher
    watam.org
    Journal
    Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
    Additional Links
    http://online.watsci.org/abstract_pdf/2010v17/v17n6b-pdf/8.pdf
    Collections
    Articles; Sensors Lab; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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