Impulsive sampled-data controller design for synchronization of delayed T-S fuzzy Hindmarsh-Rose neuron model

In this paper, the authors investigate the synchronization criteria of fuzzy impulsive sampled data control for Hindmarsh- Rose (H-R) neuronal system with time-delay. For the stability analysis, Lyapunov-Krasovskii functionals (LKF) are employed to deduce the conditions that guarantee the asymptotical stability of the proposed T-S fuzzy H-R neuron system. By utilizing free-matrix based inequality, some sufficient conditions are derived and expressed in terms of linear matrix inequalities. The obtained sufficient conditions can be checked easily by standard available software packages in MATLAB. Finally, some numerical simulations are given to validate the effectiveness of the proposed conditions. (C) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

Automated summary

The authors investigate the synchronization criteria of fuzzy impulsive sampled data control for Hindmarsh-Rose neural system with time-delay in this paper. They employ Lyapunov-Krasovskii functionals to deduce conditions for asymptotic stability and express them in terms of linear matrix inequalities. The obtained sufficient conditions can be easily checked using MATLAB software packages, and numerical simulations are provided to validate their effectiveness.