On hybrid adaptive and pinning consensus for multiagent networks
type: Item
instance of: scholarly article
title: On hybrid adaptive and pinning consensus for multiagent networks
zbMATH Open document ID: 1400.93097
DOI: 10.1155/2016/9127356
author: Liang-hao Ji
author: Yi Tang
author: Qun Liu
published in: Mathematical Problems in Engineering
publication date: 2018-10-12T00:00:00Z
review text: Summary: The consensus problems for both continuous-time and discrete-time multiagent networks are deeply investigated by adopting hybrid adaptive and pinning control laws, respectively. Particularly, the topology of the networks needs to neither be symmetric nor contain a directed spanning tree and some useful criteria are addressed analytically. Simultaneously, a comprehensive pinning scheme is proposed as well which shows that the nodes with zero in-degree need to be pinned primarily in order to guarantee the system to achieve consensus, and then the nodes whose out-degrees are bigger than their in-degrees can give priority to be pinned compared to other nodes for improving the convergence rate of the system, whereas it is also interesting to find out that the regular rule does not always hold, that is, the more nodes are selected to be pinned, the faster the system will converge. Finally, the validity of our theoretical findings is verified by several numerical examples.
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 34D06
Mathematics Subject Classification ID: 93A14
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 6953741
Wikidata QID: Q59141021
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/9127356
OpenAlex ID: W2552824640
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description: scientific article; zbMATH DE number 6953741