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Dynamical System Interactions

In: Discontinuous Dynamical Systems

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  • Albert C. J. Luo

    (Southern Illinois University Edwardsville, Department of Mechanical and Industrial Engineering)

Abstract

In this chapter, discontinuous dynamical system theory will be applied to dynamical system interactions. The concept of interaction between two dynamical systems will be introduced. An interaction condition of two dynamical systems will be treated as a separation boundary, and such a boundary is time-varying. In other words, the boundary and domains for one of two dynamical systems are constrained by the other. The corresponding conditions for such an interaction will be presented via the theory for the switchabilty and attractivity of edge flows to the specific edges. The synchronization of two totally different dynamical systems will be presented as an application.

Suggested Citation

  • Albert C. J. Luo, 2012. "Dynamical System Interactions," Springer Books, in: Discontinuous Dynamical Systems, chapter 0, pages 623-683, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-22461-4_9
    DOI: 10.1007/978-3-642-22461-4_9
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