TY - JOUR
T1 - Synchronization analysis of a complex network family
AU - Huang, Chi
AU - Ho, Daniel W.C.
AU - Lu, Jianquan
PY - 2010/6
Y1 - 2010/6
N2 - This paper is concerned with a meaningful and challenging problem: Is it possible to establish synchronization criteria for a network family, the members of which have different network structure? Based on the parameter-dependent Lyapunov function, some synchronization criteria are proposed to address this problem. These simple yet generic criteria can lead to the advantage of easy synchronization verification of every member from the network family. On the other hand, the problem mentioned above can be regarded as a synchronization problem for a network with structure uncertainty, which is also investigated in this paper. Numerical examples are given to demonstrate the effectiveness of the derived criteria. © 2009 Elsevier Ltd. All rights reserved.
AB - This paper is concerned with a meaningful and challenging problem: Is it possible to establish synchronization criteria for a network family, the members of which have different network structure? Based on the parameter-dependent Lyapunov function, some synchronization criteria are proposed to address this problem. These simple yet generic criteria can lead to the advantage of easy synchronization verification of every member from the network family. On the other hand, the problem mentioned above can be regarded as a synchronization problem for a network with structure uncertainty, which is also investigated in this paper. Numerical examples are given to demonstrate the effectiveness of the derived criteria. © 2009 Elsevier Ltd. All rights reserved.
KW - Complex network family
KW - Coupling delays
KW - Linear matrix inequalities
KW - Synchronization stability
UR - http://www.scopus.com/inward/record.url?scp=77950916200&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-77950916200&origin=recordpage
U2 - 10.1016/j.nonrwa.2009.04.016
DO - 10.1016/j.nonrwa.2009.04.016
M3 - RGC 21 - Publication in refereed journal
SN - 1468-1218
VL - 11
SP - 1933
EP - 1945
JO - Nonlinear Analysis: Real World Applications
JF - Nonlinear Analysis: Real World Applications
IS - 3
ER -