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Generalized Multi-synchronization of Fractional Order Liouvillian Chaotic Systems Using Fractional Dynamical Controller

  • Rafael Martínez-GuerraEmail author
  • Claudia Alejandra Pérez-Pinacho
Chapter
Part of the Understanding Complex Systems book series (UCS)

Abstract

The attempt to understand the synchronize of a pair of systems have been extended to the study of a more complex problem involving multiple systems, of course, motivated by problems in the integer order case where synchronization is observed such as rendezvous, formation control, flocking and schooling, attitude alignment, sensor networks, distributed computing, consensus, and complex networks in general Florian Dörfler and Francesco Bullo, Automatica, 50(6):1539–1564, 2014, [1], Strogatz, Nature, 410(6825):268–276, 2001, [6], Martínez-Guerra et al., Applied Mathematics and Computation, 282:226–236, 2016, [4], Hale, J. Dyn. Diff. Eqns. 9(1):1–52, 1997, [2], Lin and Wang, Fuzzy Sets and Systems, 161(15):2066–2080, 2010, [3], Wang et al., IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 40(6):1468–1479, 2010, [7], Reza Olfati Saber et al., Proceedings of the IEEE, 95(1):215–233, 2007, [5], Wei Ren et al., IEEE Control Systems Magazine, 72–81, 2007, [8].

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Rafael Martínez-Guerra
    • 1
    Email author
  • Claudia Alejandra Pérez-Pinacho
    • 1
  1. 1.Automatic ControlCINVESTAV-IPNMexico CityMexico

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