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Article
An exponential polynomial observer for synchronization of chaotic systems
Communications in Nonlinear Science and Numerical Simulations (2010)
  • Ricardo Aguilar-López
  • Rafael Martinez-Guerra
  • Juan L. Mata-Machuca
Abstract
In this paper, we consider the synchronization problem via nonlinear observer design. A new exponential polynomial observer for a class of nonlinear oscillators is proposed, which is robust against output noises. A sufficient condition for synchronization is derived analytically with the help of Lyapunov stability theory. The proposed technique has been applied to synchronize chaotic systems (Rikitake and Rossler systems) by means of numerical simulation.
Keywords
  • Synchronization; Polynomial observer; Lipschitz system; Algebraic observability condition
Publication Date
2010
Citation Information
Ricardo Aguilar-López, Rafael Martinez-Guerra and Juan L. Mata-Machuca. "An exponential polynomial observer for synchronization of chaotic systems" Communications in Nonlinear Science and Numerical Simulations Vol. 15 (2010)
Available at: http://works.bepress.com/ricardo_aguilar_lopez/25/