Journal
PHYSICS LETTERS A
Volume 374, Issue 15-16, Pages 1673-1677Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2010.02.002
Keywords
Complex networks; Synchronization; Non-derivative and derivative coupling; Adaptive
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Funding
- National 863 Key Program of China [2008AA042902]
- National Natural Science Foundation of China [60874113]
- Research Fund for the Doctoral Program of Higher Education of China [200802550007]
- Key Basic Research Program of Shanghai City [09JC1400700]
- Natural Science Foundation of Yunyang Teacher's College [2009803]
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This Letter investigates the synchronization of a general complex dynamical network with non-derivative and derivative coupling. Based on LaSalle's invariance principle, adaptive synchronization criteria are obtained. Analytical result shows that under the designed adaptive controllers, a general complex dynamical network with non-derivative and derivative coupling can asymptotically synchronize to a given trajectory, and several useful criteria for synchronization are given. What is more, the coupling matrix is not assumed to be symmetric or irreducible. Finally, simulations results show the method is effective. (c) 2010 Elsevier B.V. All rights reserved.
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