@ARTICLE{Ouannas_Adel_Synchronization_2021, author={Ouannas, Adel and Mesdoui, Fatiha and Momani, Shaher and Batiha, Iqbal and Grassi, Giuseppe}, volume={vol. 31}, number={No 2}, journal={Archives of Control Sciences}, pages={333-345}, howpublished={online}, year={2021}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={The Fitzhugh-Nagumo model (FN model), which is successfully employed in modeling the function of the so-called membrane potential, exhibits various formations in neuronal networks and rich complex dynamics. This work deals with the problem of control and synchronization of the FN reaction-diffusion model. The proposed control law in this study is designed to be uni-dimensional and linear law for the purpose of reducing the cost of implementation. In order to analytically prove this assertion, Lyapunov’s second method is utilized and illustrated numerically in one- and/or two-spatial dimensions.}, type={Article}, title={Synchronization of FitzHugh-Nagumo reaction-diffusion systems via one-dimensional linear control law}, URL={http://so.czasopisma.pan.pl/Content/120110/PDF/art05.pdf}, doi={10.24425/acs.2021.137421}, keywords={FitzHugh-Nagumo, synchronization, uni-dimensional control, linear control, reaction-diffusion system, neuronal networks, Lyapunov’s second method}, }