Article

Synchronization of FitzHugh–Nagumo systems in EES via H∞ variable universe adaptive fuzzy control

School of Electrical and Automation Engineering, Tianjin University, Tianjin 300072, China
Chaos, Solitons & Fractals DOI:10.1016/j.chaos.2006.08.012 pp.1332-1339

ABSTRACT In this paper, H∞ variable universe adaptive fuzzy control law is derived and applied to synchronize two FitzHugh—Nagumo neurons. Firstly, the different dynamical behavior of the nonlinear cable model based on the FitzHugh–Nagumo model responding to the various external electrical simulations (EES) is studied. Next, using the result of the analysis, a robust adaptive variable universe fuzzy control scheme is designed to synchronize two neurons. The computer simulations is provided for verify the efficiency of the designed synchronization scheme.

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Keywords

computer simulations
 
different dynamical behavior
 
FitzHugh–Nagumo model
 
H∞ variable universe adaptive fuzzy control law
 
various external electrical simulations
 

Jiang Wang