TY - JOUR
T1 - Prespecified-Time Cluster Synchronization of Complex Networks via a Smooth Control Approach
AU - Liu, Xiaoyang
AU - Ho, Daniel W. C.
AU - Xie, Chunli
PY - 2020/4
Y1 - 2020/4
N2 - Most existing finite-/fixed-time synchronization control schemes are nonsmooth or discontinuous, and the settling time is estimated with conservatism. It is due to the utilization of signum function or fraction power state feedback. This brief considers the problem of prespecified-time cluster synchronization of complex networks with a smooth control protocol. The synchronization time is independent of any control parameters or any systems' initial conditions, which is actually uniformly prescribed according to task requirements without any estimations. Moreover, the cluster synchronization can maintain after the specified time, and the smooth control input can always keep uniformly bounded in an infinite time interval as well. Finally, one numerical example is provided to illustrate the effectiveness of the proposed protocol and design method.
AB - Most existing finite-/fixed-time synchronization control schemes are nonsmooth or discontinuous, and the settling time is estimated with conservatism. It is due to the utilization of signum function or fraction power state feedback. This brief considers the problem of prespecified-time cluster synchronization of complex networks with a smooth control protocol. The synchronization time is independent of any control parameters or any systems' initial conditions, which is actually uniformly prescribed according to task requirements without any estimations. Moreover, the cluster synchronization can maintain after the specified time, and the smooth control input can always keep uniformly bounded in an infinite time interval as well. Finally, one numerical example is provided to illustrate the effectiveness of the proposed protocol and design method.
KW - Complex networks
KW - prespecified time
KW - smooth controllers
KW - synchronization
UR - http://www.scopus.com/inward/record.url?scp=85058173278&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85058173278&origin=recordpage
U2 - 10.1109/TCYB.2018.2882519
DO - 10.1109/TCYB.2018.2882519
M3 - RGC 21 - Publication in refereed journal
SN - 2168-2267
VL - 50
SP - 1771
EP - 1775
JO - IEEE Transactions on Cybernetics
JF - IEEE Transactions on Cybernetics
IS - 4
ER -