Edge-Based Fractional-Order Adaptive Strategies for Synchronization of Fractional-Order Coupled Networks With Reaction-Diffusion Terms. Academic Article

abstract

• In this paper, spatial diffusions are introduced to fractional-order coupled networks and the problem of synchronization is investigated for fractional-order coupled neural networks with reaction-diffusion terms. First, a new fractional-order inequality is established based on the Caputo partial fractional derivative. To realize asymptotical synchronization, two types of adaptive coupling weights are considered, namely: 1) coupling weights only related to time and 2) coupling weights dependent on both time and space. For each type of coupling weights, based on local information of the node's dynamics, an edge-based fractional-order adaptive law and an edge-based fractional-order pinning adaptive scheme are proposed. Furthermore, some new analytical tools, including the method of contradiction, L'Hopital rule, and Barbalat lemma are developed to establish adaptive synchronization criteria of the addressed networks. Finally, an example with numerical simulations is provided to illustrate the validity and effectiveness of the theoretical results.

authors

• Huang, Tingwen

published proceedings

• IEEE Trans Cybern

author list (cited authors)

• Lv, Y., Hu, C., Yu, J., Jiang, H., & Huang, T.

citation count

• 66

complete list of authors

• Lv, Yujiao||Hu, Cheng||Yu, Juan||Jiang, Haijun||Huang, Tingwen

publication date

• April 2020

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE TRANSACTIONS ON CYBERNETICS  Journal

keywords

• Adaptive Control
• Biological Neural Networks
• Complex Networks
• Coupled Neural Network
• Couplings
• Edge-based Adaptive Law
• Fractional-order
• Reaction-diffusion
• Synchronization

Digital Object Identifier (DOI)

• 10.1109/TCYB.2018.2879935

start page

• 1582

end page

• 1594

volume

• 50

issue

• 4

URL

• http://dx.doi.org/10.1109/tcyb.2018.2879935