Comput Math Methods Med - Robust synchronization of delayed chaotic FitzHugh-Nagumo neurons under external electrical stimulation.

Tópicos

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Resumo

Synchronization of chaotic neurons under external electrical stimulation (EES) is studied in order to understand information processing in the brain and to improve the methodologies employed in the treatment of cognitive diseases. This paper investigates the dynamics of uncertain coupled chaotic delayed FitzHugh-Nagumo (FHN) neurons under EES for incorporated parametric variations. A global nonlinear control law for synchronization of delayed neurons with known parameters is developed. Based on local and global Lipschitz conditions, knowledge of the bounds on the neuronal states, the Lyapunov-Krasovskii functional, and the L(2) gain reduction, a less conservative local robust nonlinear control law is formulated to address the problem of robust asymptotic synchronization of delayed FHN neurons under parametric uncertainties. The proposed local control law guarantees both robust stability and robust performance and provides the L(2) bound for uncertainty rejection in the synchronization error dynamics. Separate conditions for single-input and multiple-input control schemes for synchronization of a wide class of FHN systems are provided. The results of the proposed techniques are verified through numerical simulations.

Resumo Limpo

synchron chaotic neuron extern electr stimul ee studi order understand inform process brain improv methodolog employ treatment cognit diseas paper investig dynam uncertain coupl chaotic delay fitzhughnagumo fhn neuron ee incorpor parametr variat global nonlinear control law synchron delay neuron known paramet develop base local global lipschitz condit knowledg bound neuron state lyapunovkrasovskii function l gain reduct less conserv local robust nonlinear control law formul address problem robust asymptot synchron delay fhn neuron parametr uncertainti propos local control law guarante robust stabil robust perform provid l bound uncertainti reject synchron error dynam separ condit singleinput multipleinput control scheme synchron wide class fhn system provid result propos techniqu verifi numer simul

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