Journal
NEUROCOMPUTING
Volume 147, Issue -, Pages 492-499Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.neucom.2014.06.031
Keywords
Pinning adaptive synchronization; Multi-linked networks; Nonlinear coupling; Time-varying delays; Variable topological structures
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Funding
- National Science Foundation of China [10972129, 10832006, 11272191]
- Specialized Research Foundation for the Doctoral Program of Higher Education [200802800015]
- Shanghai Leading Academic Discipline Project [S30106]
- Natural Science Program of Anhui Higher Education Institution [KJ2013B216]
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This paper is concerned with the issue of pinning synchronization of a general model of complex dynamical networks, which can well describe practical architectures of many realistic complex systems. Compared with some existing works, the distinctive feature of the considered model in this paper includes (i) the network topologies with variable structures corresponding directed graph; (ii) the multi-linked configuration with nonlinear coupling and time-varying delays. Some generic criteria for pinning global synchronization of such dynamical network are presented based on Lyapunov stability theory on delayed dynamical systems. It is shown that these criteria can provide a novel and effective adaptive pinning strategy, which is very convenient to implement in practice since the design of the adaptive control law is independent of time-varying delays. Furthermore, it is interesting to find that when the nodes with low in-degrees are pinned firstly, the pinning control scheme is more efficient. Subsequently, the theoretic results are applied to a general two-linked network consisting of Hopfield neuron oscillator. Finally, numerical simulations demonstrate that the proposed pinning adaptive synchronization criteria are practical and effective to pin two-linked Hopfield neural networks to an equilibrium, periodic orbit and chaotic attractor. (C) 2014 Elsevier B.V. All rights reserved.
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