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Adaptive synchronization of complex networks with general distributed update laws for coupling weights.

Authors :
Wang, Liliang
Sun, Zhiyong
Cao, Yue
Source :
Journal of the Franklin Institute. Sep2019, Vol. 356 Issue 13, p7444-7465. 22p.
Publication Year :
2019

Abstract

This paper discusses adaptive synchronization control for complex networks interacted in an undirected weighted graph, and aims to provide a novel and general approach for the design of distributed update laws for adaptively adjusting coupling weights. The proposed updating laws are very general in the sense that they encompass most weight update laws reported in the literature as special cases, and also provide new insights in the analysis of network system evolution and graph weight convergence. We show a rigorous proof for the synchronization stability of the overall complex network to a synchronized state, and demonstrate the convergence of adaptive weights for each edge to some bounded constants. A detailed comparison with available results is provided to elaborate the new features and advantages of the proposed adaptive strategies as compared with conventional adaptive laws. The effectiveness of the proposed approach is also validated by several typical simulations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00160032
Volume :
356
Issue :
13
Database :
Academic Search Index
Journal :
Journal of the Franklin Institute
Publication Type :
Periodical
Accession number :
138012170
Full Text :
https://doi.org/10.1016/j.jfranklin.2019.06.046