Weighted bipartite containment motion of Lagrangian systems with impulsive cooperative–competitive interactions

Zhao, L; Ji, J; Li, W; Bai, M

Weighted bipartite containment motion of Lagrangian systems with impulsive cooperative–competitive interactions

Zhao, L Ji, J

Li, W Bai, M

Permalink

Publisher:: SPRINGER
Publication Type:: Journal Article
Citation:: Nonlinear Dynamics, 2021, 104, (3), pp. 2417-2431
Issue Date:: 2021-05-01

Closed Access

	Filename	Description	Size
	Zhao2021_Article_WeightedBipartiteContainmentMo.pdf	Published version	721.95 kB	Adobe PDF	View/Open

Copyright Clearance Process

Recently Added
In Progress
Closed Access

This item is closed access and not available.

Full metadata record

Field	Value	Language
dc.contributor.author	Zhao, L
dc.contributor.author	Ji, J https://orcid.org/0000-0003-3280-5463
dc.contributor.author	Li, W
dc.contributor.author	Bai, M
dc.date.accessioned	2022-05-15T02:58:39Z
dc.date.available	2022-05-15T02:58:39Z
dc.date.issued	2021-05-01
dc.identifier.citation	Nonlinear Dynamics, 2021, 104, (3), pp. 2417-2431
dc.identifier.issn	0924-090X
dc.identifier.issn	1573-269X
dc.identifier.uri	http://hdl.handle.net/10453/157357
dc.description.abstract	The present paper investigates weighted bipartite containment motion of networked Lagrangian systems with instantaneous cooperative–competitive interactions. A control scheme is proposed by introducing an auxiliary oscillatory system to each agent, where every Lagrangian system can obtain different levels of positive and negative information from its neighbors only at some impulsive time moments. Based on the generalized Barbalat’s lemma and Lyapunov stability theory, some conditions for the networked structure, the coupling strengthen, and the impulsive time interval are developed to guarantee that the followers can converge to the weighted intervals, which are determined by every leader’s weighted state and its symmetric weighted state. Finally, seven two-link manipulators are used to illustrate the performance of the proposed schemes.
dc.language	English
dc.publisher	SPRINGER
dc.relation.ispartof	Nonlinear Dynamics
dc.relation.isbasedon	10.1007/s11071-021-06438-8
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	01 Mathematical Sciences, 09 Engineering
dc.subject.classification	Acoustics
dc.title	Weighted bipartite containment motion of Lagrangian systems with impulsive cooperative–competitive interactions
dc.type	Journal Article
utslib.citation.volume	104
utslib.for	01 Mathematical Sciences
utslib.for	09 Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	closed_access	*
dc.date.updated	2022-05-15T02:58:37Z
pubs.issue	3
pubs.publication-status	Published
pubs.volume	104
utslib.citation.issue	3

Abstract:

The present paper investigates weighted bipartite containment motion of networked Lagrangian systems with instantaneous cooperative–competitive interactions. A control scheme is proposed by introducing an auxiliary oscillatory system to each agent, where every Lagrangian system can obtain different levels of positive and negative information from its neighbors only at some impulsive time moments. Based on the generalized Barbalat’s lemma and Lyapunov stability theory, some conditions for the networked structure, the coupling strengthen, and the impulsive time interval are developed to guarantee that the followers can converge to the weighted intervals, which are determined by every leader’s weighted state and its symmetric weighted state. Finally, seven two-link manipulators are used to illustrate the performance of the proposed schemes.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/157357