The Kronecker product and stochastic automata networks
Journal of Computational and Applied Mathematics
Brief paper: Pinning adaptive synchronization of a general complex dynamical network
Automatica (Journal of IFAC)
Adaptive synchronization of complex networks
International Journal of Computer Mathematics - COMPLEX NETWORKS
Pinning control of directed dynamical networks based on ControlRank
International Journal of Computer Mathematics - COMPLEX NETWORKS
Criteria for global pinning-controllability of complex networks
Automatica (Journal of IFAC)
Brief paper: On pinning synchronization of complex dynamical networks
Automatica (Journal of IFAC)
Synchronization and control of complex networks via contraction, adaptation and evolution
IEEE Circuits and Systems Magazine - Special issue on complex networks applications in circuits and systems
Original article: Pinning synchronization of linearly coupled delayed neural networks
Mathematics and Computers in Simulation
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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.