TY - JOUR
T1 - Exponential H∞ synchronization and anti-synchronization of delayed discrete-time complex-valued neural networks with uncertainties
AU - Priyanka, K. Sri Raja
AU - Soundararajan, G.
AU - Kashkynbayev, Ardak
AU - Nagamani, G.
PY - 2023/5/1
Y1 - 2023/5/1
N2 - This paper investigates the problem of exponential synchronization and anti-synchronization for uncertain discrete-time neural networks (NNs) having time-varying delays with H∞ performance in complex domain. An output-feedback controller is utilized not only to guarantee the synchronization criteria between the addressed discrete-time complex-valued neural networks (CVNNs) but also to reduce the effect of external disturbance. In order to assure the anti-synchronization criteria with H∞ performance for the proposed CVNNs, we have introduced the output-feedback controller by anti-synchronization error analysis. With the help of Lyapunov–Krasovskii functional (LKF), some linear matrix inequality (LMI) based sufficient conditions are derived for both synchronization and anti-synchronization criteria which can be validated through YALMIP toolbox in MATLAB software. At last, a numerical simulation result is provided to verify the correctness of the established theoretical results.
AB - This paper investigates the problem of exponential synchronization and anti-synchronization for uncertain discrete-time neural networks (NNs) having time-varying delays with H∞ performance in complex domain. An output-feedback controller is utilized not only to guarantee the synchronization criteria between the addressed discrete-time complex-valued neural networks (CVNNs) but also to reduce the effect of external disturbance. In order to assure the anti-synchronization criteria with H∞ performance for the proposed CVNNs, we have introduced the output-feedback controller by anti-synchronization error analysis. With the help of Lyapunov–Krasovskii functional (LKF), some linear matrix inequality (LMI) based sufficient conditions are derived for both synchronization and anti-synchronization criteria which can be validated through YALMIP toolbox in MATLAB software. At last, a numerical simulation result is provided to verify the correctness of the established theoretical results.
KW - Anti-synchronization
KW - Complex-valued neural networks
KW - Linear matrix inequality
KW - Lyapunov–Krasovskii functional
KW - Output-feedback control
KW - Synchronization
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U2 - 10.1016/j.matcom.2023.01.002
DO - 10.1016/j.matcom.2023.01.002
M3 - Article
AN - SCOPUS:85146278430
SN - 0378-4754
VL - 207
SP - 301
EP - 321
JO - Mathematics and Computers in Simulation
JF - Mathematics and Computers in Simulation
ER -