Asymptotic stability analysis on nonlinear systems with leakage delay

Li, Y; Zeng, Z; Wen, S

Asymptotic stability analysis on nonlinear systems with leakage delay

Li, Y Zeng, Z Wen, S

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Publisher:: PERGAMON-ELSEVIER SCIENCE LTD
Publication Type:: Journal Article
Citation:: Journal of the Franklin Institute, 2016, 353, (3), pp. 757-779
Issue Date:: 2016-02-01

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Field	Value	Language
dc.contributor.author	Li, Y
dc.contributor.author	Zeng, Z
dc.contributor.author	Wen, S https://orcid.org/0000-0001-8077-7001
dc.date.accessioned	2022-08-15T01:19:47Z
dc.date.available	2022-08-15T01:19:47Z
dc.date.issued	2016-02-01
dc.identifier.citation	Journal of the Franklin Institute, 2016, 353, (3), pp. 757-779
dc.identifier.issn	0016-0032
dc.identifier.issn	1879-2693
dc.identifier.uri	http://hdl.handle.net/10453/160167
dc.description.abstract	The global asymptotic stability problem for a class of nonlinear dynamical systems with leakage delay is studied in this paper. By constructing the Lyapunov-Krasovskii functional involving triple integral terms, then employing convex combination technique, model transformation and the free-weighting matrix approach, the delay-dependent stability criteria depending on the upper bound of the leak delay and its derivative are proposed and derived, the effect of leakage delay on stability is analyzed by comparing with the existed literatures. All results are expressed in terms of Linear Matrix Inequalities (LMIs), which can be solved by standard numerical software. Three examples and their simulations are provided to illustrate the low conservatism and effectiveness of the proposed method.
dc.language	English
dc.publisher	PERGAMON-ELSEVIER SCIENCE LTD
dc.relation.ispartof	Journal of the Franklin Institute
dc.relation.isbasedon	10.1016/j.jfranklin.2015.12.003
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics, 0906 Electrical and Electronic Engineering
dc.subject.classification	Industrial Engineering & Automation
dc.title	Asymptotic stability analysis on nonlinear systems with leakage delay
dc.type	Journal Article
utslib.citation.volume	353
utslib.for	0102 Applied Mathematics
utslib.for	0906 Electrical and Electronic 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/Strength - AAII - Australian Artificial Intelligence Institute
utslib.copyright.status	closed_access	*
dc.date.updated	2022-08-15T01:19:46Z
pubs.issue	3
pubs.publication-status	Published
pubs.volume	353
utslib.citation.issue	3

Abstract:

The global asymptotic stability problem for a class of nonlinear dynamical systems with leakage delay is studied in this paper. By constructing the Lyapunov-Krasovskii functional involving triple integral terms, then employing convex combination technique, model transformation and the free-weighting matrix approach, the delay-dependent stability criteria depending on the upper bound of the leak delay and its derivative are proposed and derived, the effect of leakage delay on stability is analyzed by comparing with the existed literatures. All results are expressed in terms of Linear Matrix Inequalities (LMIs), which can be solved by standard numerical software. Three examples and their simulations are provided to illustrate the low conservatism and effectiveness of the proposed method.

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http://hdl.handle.net/10453/160167