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Single Constraint Synchronization

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

Abstract

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.

References

  1. 1.
    Luo ACJ (2009) A theory for synchronization of dynamical systems. Commun Nonlinear Sci Numer Simul 14:1901–1951MathSciNetMATHCrossRefGoogle Scholar
  2. 2.
    Luo ACJ (2008) A theory for flow switchability in discontinuous dynamical systems. Nonlinear Anal Hybrid Syst 2(4):1030–1061MathSciNetMATHCrossRefGoogle Scholar
  3. 3.
    Luo ACJ (2009) Discontinuous dynamical systems on time-varying domains. HEP-Springer, HeidelbergMATHCrossRefGoogle Scholar
  4. 4.
    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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