TY - JOUR
T1 - Controlling complex dynamical networks with coupling delays to a desired orbit
AU - Li, Zhi
AU - Feng, Gang
AU - Hill, David
PY - 2006/11/6
Y1 - 2006/11/6
N2 - A strategy for synchronization of complex dynamical networks with coupling time-delay is proposed based on linear state feedback controllers in this Letter. It is shown that by using the designed controllers, the states of a complex dynamical network with coupling time-delay can globally exponentially synchronize with a desired orbit, and the linear state feedback controller can be easily constructed by a linear matrix inequality which is dependent on the coupling matrix and dynamical characteristics of the isolated node. And moreover, for nearest-neighbor coupling network, the effect of the proposed control scheme is demonstrated via simulations.
AB - A strategy for synchronization of complex dynamical networks with coupling time-delay is proposed based on linear state feedback controllers in this Letter. It is shown that by using the designed controllers, the states of a complex dynamical network with coupling time-delay can globally exponentially synchronize with a desired orbit, and the linear state feedback controller can be easily constructed by a linear matrix inequality which is dependent on the coupling matrix and dynamical characteristics of the isolated node. And moreover, for nearest-neighbor coupling network, the effect of the proposed control scheme is demonstrated via simulations.
KW - Coupling time-delay
KW - Dynamical networks
KW - Global synchronization
KW - Linear matrix inequality
UR - http://www.scopus.com/inward/record.url?scp=33748308828&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2006.05.085
DO - 10.1016/j.physleta.2006.05.085
M3 - Article
SN - 0375-9601
VL - 359
SP - 42
EP - 46
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 1
ER -