Further results on exponential stability of linear discrete-time systems with time-varying delay

That, ND; Cuong, P; Ha, QP

Further results on exponential stability of linear discrete-time systems with time-varying delay

That, ND Cuong, P Ha, QP

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Publication Type:: Conference Proceeding
Citation:: 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015, 2015
Issue Date:: 2015-09-08

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Field	Value	Language
dc.contributor.author	That, ND	en_US
dc.contributor.author	Cuong, P	en_US
dc.contributor.author	Ha, QP https://orcid.org/0000-0003-0978-1758	en_US
dc.date.available	2015-03-01	en_US
dc.date.issued	2015-09-08	en_US
dc.identifier.citation	2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015, 2015	en_US
dc.identifier.isbn	9781479978625	en_US
dc.identifier.uri	http://hdl.handle.net/10453/36941
dc.description.abstract	© 2015 IEEE. This note addresses the exponential stability problem of a class of discrete-time systems with interval time-varying delay. Based on the Lyapunov-Krasovskii method, a set of appropriate Lyapunov-Krasovskii functionals, containing an augmented vector and some triple summation terms is first proposed. By utilizing the combination of the reciprocally convex approach and the delay-decomposition technique, improved delay-dependent conditions for exponential stability of the system are derived in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the proposed approach.	en_US
dc.relation.ispartof	2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015	en_US
dc.relation.isbasedon	10.1109/ASCC.2015.7244783	en_US
dc.title	Further results on exponential stability of linear discrete-time systems with time-varying delay	en_US
dc.type	Conference Proceeding
utslib.for	090506 Structural Engineering	en_US
utslib.for	1099 Other Technology	en_US
utslib.for	090602 Control Systems, Robotics and Automation	en_US
dc.location.activity	Kota, Kinabalu
pubs.embargo.period	Not known	en_US
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 Electrical and Data Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CBI - Centre for Built Infrastructure
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US

Abstract:

© 2015 IEEE. This note addresses the exponential stability problem of a class of discrete-time systems with interval time-varying delay. Based on the Lyapunov-Krasovskii method, a set of appropriate Lyapunov-Krasovskii functionals, containing an augmented vector and some triple summation terms is first proposed. By utilizing the combination of the reciprocally convex approach and the delay-decomposition technique, improved delay-dependent conditions for exponential stability of the system are derived in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the proposed approach.

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http://hdl.handle.net/10453/36941