Identification of Group of FitzHugh-Nagumo Neuron Models Based on the Speed-Gradient and Filtering

The paper is devoted to the identification problem of the group of neurons model composed from the FitzHugh-Nagumo single neuron models. The model of N uncoupled neurons and the model of the neural network with the simplest connections are considered. The problem is solved under the realistic condition: only one variable of the FitzHugh-Nagumo model, namely the membrane potential, is measured; however, we assume that this variable’s measurement is imprecise.