TY - JOUR
T1 - Generalized matrix projective synchronization of general colored networks with different-dimensional node dynamics
AU - Wu, Zhaoyan
AU - Xu, Xinjian
AU - Chen, Guanrong
AU - Fu, Xinchu
PY - 2014/9
Y1 - 2014/9
N2 - This paper investigates the generalized matrix projective synchronization problem of general colored networks with different-dimensional node dynamics. A general colored network consists of colored nodes and edges, where the dimensions of colored node dynamics can be different in addition to the difference of the inner coupling matrices between any pair of nodes. For synchronizing a colored network onto a desired orbit with respect to the given matrices, open-plus-closed-loop controllers are designed. The closed-loop controllers are chosen as adaptive feedback and intermittent controllers, respectively. Based on the Lyapunov stability theory and mathematical induction, corresponding synchronization criteria are derived. Noticeably, many existing synchronization settings can be regarded as special cases of the present synchronization framework. Numerical simulations are provided to verify the theoretical results. © 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
AB - This paper investigates the generalized matrix projective synchronization problem of general colored networks with different-dimensional node dynamics. A general colored network consists of colored nodes and edges, where the dimensions of colored node dynamics can be different in addition to the difference of the inner coupling matrices between any pair of nodes. For synchronizing a colored network onto a desired orbit with respect to the given matrices, open-plus-closed-loop controllers are designed. The closed-loop controllers are chosen as adaptive feedback and intermittent controllers, respectively. Based on the Lyapunov stability theory and mathematical induction, corresponding synchronization criteria are derived. Noticeably, many existing synchronization settings can be regarded as special cases of the present synchronization framework. Numerical simulations are provided to verify the theoretical results. © 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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U2 - 10.1016/j.jfranklin.2014.07.008
DO - 10.1016/j.jfranklin.2014.07.008
M3 - RGC 21 - Publication in refereed journal
SN - 0016-0032
VL - 351
SP - 4584
EP - 4595
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
IS - 9
ER -