Adaptive synchronization of complex networks with general distributed update laws for coupling weights
(2019) In Journal of the Franklin Institute- 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... (More)
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.
(Less)
- author
- Wang, Liliang ; Sun, Zhiyong LU and Cao, Yue
- organization
- publishing date
- 2019-07-04
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of the Franklin Institute
- publisher
- Elsevier
- external identifiers
-
- scopus:85068817548
- ISSN
- 0016-0032
- DOI
- 10.1016/j.jfranklin.2019.06.046
- language
- English
- LU publication?
- yes
- id
- 05d29b62-672b-4262-ab53-e20cd2cf6f39
- date added to LUP
- 2019-07-25 08:42:49
- date last changed
- 2022-03-10 19:23:11
@article{05d29b62-672b-4262-ab53-e20cd2cf6f39,
abstract = {{<p>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.</p>}},
author = {{Wang, Liliang and Sun, Zhiyong and Cao, Yue}},
issn = {{0016-0032}},
language = {{eng}},
month = {{07}},
publisher = {{Elsevier}},
series = {{Journal of the Franklin Institute}},
title = {{Adaptive synchronization of complex networks with general distributed update laws for coupling weights}},
url = {{http://dx.doi.org/10.1016/j.jfranklin.2019.06.046}},
doi = {{10.1016/j.jfranklin.2019.06.046}},
year = {{2019}},
}