Stabilizing control of a hysteresis cellular neural network model

In this paper receptor-based Cellular Nonlinear Network model with hysteresis is considered. Different mathematical models of hysteresis are presented. Dynamics and stability of the CNN model are studied from the point of view of local activity theory. Edge of chaos domain of the parameter space is found for the model. Numerical simulations and discussions about the pattern formation in such model are presented. Continuous feedback control is applied in order to stabilized the system.