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Research Article Open access CC BY 4.0

Control Gain and Cost of Pinning Control for BA Scale-Free Networks

Zhengzhong Yuan, Jianping Cai

Physical Science International Journal · pp. 223–229 · Published 1 Jan 2015

10.9734/PSIJ/2015/14574

Abstract

This paper investigates the pinning control strategy of BA scale-free network through numerical analysis. A new cost function is defined to measure the cost of pinning control. Compared with the control gain and the cost of pinning nodes with smallest degrees or biggest degrees, an interesting result is that a smaller control gain and a lower cost are achieved by using the control scheme of pinning nodes with smallest degrees. Moreover, there is a minimal control cost by pinning nodes with smallest degrees and biggest degrees, respectively. The number of controllers by pinning nodes with smallest degrees is considered finally.  

BA scale-free networks pinning control control gain control cost

References (24)

  1. 1 The Structure and Function of Complex Networks [DOI]
  2. 2 Complex networks: Structure and dynamics [DOI]
  3. 3 Interactome Networks and Human Disease [DOI]
  4. 4 Pinning Complex Networks by a Single Controller [DOI]
  5. 5 On pinning synchronization of complex dynamical networks [DOI]
  6. 6 Pinning a Complex Dynamical Network to Its Equilibrium [DOI]
  7. 7 Economic Networks: The New Challenges [DOI]
  8. 8 On Pinning Synchronization of Directed and Undirected Complex Dynamical Networks [DOI]
  9. 9 Structure and Evolution of Online Social Networks [DOI]
  10. 10 Synchronization via Pinning Control on General Complex Networks [DOI]
  11. 11 Cluster Synchronization in Directed Networks Via Intermittent Pinning Control [DOI]
  12. 12 Global stabilization of complex networks with digraph topologies via a local pinning algorithm [DOI]
  13. 13 Evolutionary Pinning Control and Its Application in UAV Coordination [DOI]
  14. 14 Pinning control of complex dynamical networks with general topology [DOI]
  15. 15 Pinning control and synchronization on complex dynamical networks [DOI]
  16. 16 Pinning control of complex networked systems: A decade after and beyond [DOI]
  17. 17 Guaranteed cost synchronization of a complex dynamical network via dynamic feedback control [DOI]
  18. 18 Decentralized guaranteed cost dynamic control for synchronization of a complex dynamical network with randomly switching topology [DOI]
  19. 19 Cost and effect of pinning control for network synchronization [DOI]
  20. 20 Pinning control of directed dynamical networks based on ControlRank [DOI]
  21. 21 Optimal pinning synchronization on directed complex network [DOI]
  22. 22 Cost of synchronizing different chaotic systems [DOI]
  23. 23 Choosing effective controlled nodes for scale-free network synchronization [DOI]
  24. 24 Comparison between pinning control of different chaotic complex dynamical networks [DOI]

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