Single Constraint Synchronization

  • Albert C. J. Luo
Part of the Nonlinear Systems and Complexity book series (NSCH, volume 3)


In this chapter, synchronization of two or more dynamical systems to specific constraints is introduced, which is different from the traditional synchronization of two dynamical systems. For such synchronization, Lyapunov stability method cannot be adopted. The synchronization, desynchronization, and penetration of multiple dynamical systems to a specific constraint are discussed from the theory of discontinuous dynamical systems, and the necessary and sufficient conditions for such synchronicity are presented.


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    Luo ACJ (2011) Discontinuous dynamical systems. HEP-Springer, HeidelbergGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2013

Authors and Affiliations

  • Albert C. J. Luo
    • 1
  1. 1.School of EngineeringSouthern Illinois University EdwardsvilleEdwardsvilleUSA

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