An improved robust ISS-satisficing control for synchronization of neurons

In the conventional robust ISS (input to state stable)-satisficing control strategy, all parameters of the system must be known and deterministic. This confines its application. So in this paper, the robust ISS-satisficing control strategy and the variable universe indirect fuzzy control strategy are combined to offset this weakness. The proposed control method has the inverse optimality of the robust ISS-satisficing control and the robust and predictive performance of the fuzzy control. Based on Lyapunov control method, the overall closed-loop system is shown to be stable. The new control strategy is used to realize the synchronization of Hodgkin-Huxley (HH) neurons. The simulation results confirm the feasibility and effectiveness of control algorithm.