TY - JOUR
T1 - Impulsive sampled-data controller design for synchronization of delayed T–S fuzzy Hindmarsh–Rose neuron model
AU - Nirvin, Prasath
AU - Rihan, Fathalla A.
AU - Rakkiyappan, Rajan
AU - Pradeep, Chandrasekar
N1 - Funding Information:
This work is partially suppored by UAE University , fund #: 12S005 (UPAR -5-2020) .
Publisher Copyright:
© 2021 International Association for Mathematics and Computers in Simulation (IMACS)
PY - 2022/11
Y1 - 2022/11
N2 - 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.
AB - 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.
KW - Hindmarsh–Rose (H–R) neuron model
KW - Impulsive control
KW - Linear matrix inequality (LMI)
KW - Synchronization
KW - Takagi–Sugeno (T–S) fuzzy rules
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U2 - 10.1016/j.matcom.2021.03.022
DO - 10.1016/j.matcom.2021.03.022
M3 - Article
AN - SCOPUS:85103944155
SN - 0378-4754
VL - 201
SP - 588
EP - 602
JO - Mathematics and Computers in Simulation
JF - Mathematics and Computers in Simulation
ER -