TY - JOUR
T1 - Master-Slave Synchronization of Delayed Neural Networks With Time-Varying Control
AU - Jia, Qiang
AU - Mwanandiye, Eric S.
AU - Tang, Wallace K. S.
PY - 2021/5
Y1 - 2021/5
N2 - This brief investigates the master-slave synchronization problem of delayed neural networks with general time-varying control. Assuming a linear feedback controller with time-varying control gain, the synchronization problem is recast into the stability problem of a delayed system with a time-varying coefficient. The main theorem is established in terms of the time average of the control gain by using the Lyapunov-Razumikhin theorem. Moreover, the proposed framework encompasses some general intermittent control schemes, such as the switched control gain with external disturbance and intermittent control with pulse modulated gain function, while some useful corollaries are consequently deduced. Interestingly, our theorem also provides a solution for regaining stability under control failure. The validity of the theorem and corollaries is further demonstrated with numerical examples.
AB - This brief investigates the master-slave synchronization problem of delayed neural networks with general time-varying control. Assuming a linear feedback controller with time-varying control gain, the synchronization problem is recast into the stability problem of a delayed system with a time-varying coefficient. The main theorem is established in terms of the time average of the control gain by using the Lyapunov-Razumikhin theorem. Moreover, the proposed framework encompasses some general intermittent control schemes, such as the switched control gain with external disturbance and intermittent control with pulse modulated gain function, while some useful corollaries are consequently deduced. Interestingly, our theorem also provides a solution for regaining stability under control failure. The validity of the theorem and corollaries is further demonstrated with numerical examples.
KW - Delayed neural network (dNN)
KW - intermittent control
KW - synchronization
KW - time-varying control
UR - http://www.scopus.com/inward/record.url?scp=85105585974&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85105585974&origin=recordpage
U2 - 10.1109/TNNLS.2020.2996224
DO - 10.1109/TNNLS.2020.2996224
M3 - 21_Publication in refereed journal
VL - 32
SP - 2292
EP - 2298
JO - IEEE Transactions on Neural Networks and Learning Systems
JF - IEEE Transactions on Neural Networks and Learning Systems
SN - 2162-237X
IS - 5
ER -