@ARTICLE{Rasappan_Suresh_Synchronization_2019, author={Rasappan, Suresh}, volume={vol. 29}, number={No 4}, journal={Archives of Control Sciences}, pages={617-642}, howpublished={online}, year={2019}, publisher={Committee of Automatic Control and Robotics PAS}, abstract={J.L. Hindmarsh, R.M. Rose introduced the concept of neuronal burst. In this paper, synchronization is investigated for the construction of a model of neuronal burst using backstepping control with recursive feedback. Synchronization for a model of neuronal bursting system is established using Lyapunov stability theory. The backstepping scheme is a recursive procedure that links the choice of a Lyapunov function with the design of a controller. The backstepping control method is effective and convenient to synchronize identical systems. Numerical simulations are furnished to illustrate and validate the synchronization result derived in this paper.}, type={Artykuły / Articles}, title={Synchronization of neuronal bursting using backstepping control with recursive feedback}, URL={http://www.czasopisma.pan.pl/Content/114626/PDF/ACS-2019-4-4.pdf}, doi={10.24425/acs.2019.131229}, keywords={Hindmarsh-Rose neuronal bursting system, chaos, synchronization, backstepping control, Lyapunov, stability}, }