The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
On Pinning Synchronization of Directed and Undirected Complex Dynamical Networks
Abstract
This paper presents some low-dimensional pinning criteria for global synchronization of both directed and undirected complex networks, and proposes specifically pinning schemes to select pinned nodes by investigating the relationship among pinning synchronization, network topology, and the coupling strength. The paper answers the challenging questions in pinning control of complex networks: 1) what sufficient conditions can guarantee global asymptotic stability of the pinning process; 2) what nodes should be chosen as pinned candidates; and 3) how many nodes are needed to be pinned for a fixed coupling strength? Furthermore, an adaptive pinning control scheme is developed to achieve synchronization of general complex networks. Numerical examples are given to verify our theoretical analysis.
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Cites
Emergence of Scaling in Random Networks
Barabási, A.-L., & Albert, R. (1999) · Science · doi:10.1126/science.286.5439.509 · Cited by 36,135
Linear Matrix Inequalities in System and Control Theory
Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611970777 · Cited by 21,687
The Structure and Function of Complex Networks
Newman, M. E. J. (2003) · SIAM Review · doi:10.1137/s003614450342480 · Cited by 18,719
The algebraic eigenvalue problem
Wilkinson, J. H. (1965) · Cited by 5,833
Master Stability Functions for Synchronized Coupled Systems
Pecora, L. M., & Carroll, T. L. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2109 · Cited by 2,643
On pinning synchronization of complex dynamical networks
Yu, W., Chen, G., & Lü, J. (2009) · Automatica · doi:10.1016/j.automatica.2008.07.016 · Cited by 1,016
Pinning control of scale-free dynamical networks
Wang, X. F., & Chen, G. (2002) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(02)00772-0 · Cited by 1,008
Pinning a Complex Dynamical Network to Its Equilibrium
Li, X., Wang, X., & Chen, G. (2004) · IEEE Transactions on Circuits and Systems I: Regular Papers · doi:10.1109/tcsi.2004.835655 · Cited by 954
Pinning adaptive synchronization of a general complex dynamical network
Zhou, J., Lu, J.-A., & Lü, J. (2008) · Automatica · doi:10.1016/j.automatica.2007.08.016 · Cited by 573
Controllability of complex networks via pinning
Sorrentino, F., di Bernardo, M., Garofalo, F., & Chen, G. (2007) · Physical Review E · doi:10.1103/physreve.75.046103 · Cited by 439
Cited by
Control principles of complex systems
Liu, Y.-Y., & Barabási, A.-L. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.035006 · Cited by 654
Yang, X., Cao, J., & Yang, Z. (2013) · SIAM Journal on Control and Optimization · doi:10.1137/120897341 · Cited by 360
Self-citationSong, Q., Liu, F., Cao, J., & Yu, W. (2013) · IEEE Transactions on Cybernetics · doi:10.1109/tsmcb.2012.2227723 · Cited by 262
Self-citation
Metadata
- Authors
- Song, Q., & Cao, J.
- Venue
- IEEE Transactions on Circuits and Systems I: Regular Papers
- Published
- 2010-03
- Volume
- 57
- Issue
- 3
- Pages
- 672-680
- ISSN
- 1549-8328 (ISSN-L)
- 1558-0806
- OpenAlex
- W2157190392
- Cited by
- 440
- References
- 21
- FWCI
- 24.83
- Type
- journal article
- Language
- en
- Open access
- closed
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