4.4 Article

Adaptive Synchronization of Complex Dynamical Networks with Time-Varying Delays

Journal

CIRCUITS SYSTEMS AND SIGNAL PROCESSING
Volume 33, Issue 4, Pages 1173-1188

Publisher

SPRINGER BIRKHAUSER
DOI: 10.1007/s00034-013-9687-z

Keywords

Complex networks; Adaptive synchronization; Pinning control; Time-varying delays

Funding

  1. National Natural Science Foundation of China [61104140, 61304049]
  2. Program for New Century Excellent Talents in University from Chinese Ministry of Education [NCET-12-0215]
  3. Research Fund for the Doctoral Program of Higher Education (RFDP) [20100142120023]
  4. Program for Changjiang Scholars and Innovative Research Team in University [IRT1245]
  5. Science and Technology Development Plan Project of Beijing Education Commission [KM201310009011]
  6. Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality [PHR201108055]
  7. National High Technology Research and Development Program of China 863 [2012AA112401]

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This paper addresses the problem of adaptive pinning synchronization of complex dynamical networks with nonlinear delayed intrinsic dynamics and time-varying delays. By introducing decentralized adaptive strategies to both the coupling strengths and the feedback gains, it is proved that the complex dynamical network can synchronize with the desired state for the bounded time-varying delays even when only one node is informed, without any global information of the underlying network. Finally, some numerical simulations are given to verify the main results and show the superiority of these self-designed adaptive strategies.

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