H∞ control and exponential stability of nonlinear nonautonomous systems with time-varying delay

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dc.contributor.author Phat, VN
dc.contributor.author Ha, QP
dc.date.accessioned 2010-05-28T09:42:12Z
dc.date.issued 2009-08
dc.identifier.citation Journal of Optimization Theory and Applications, 2009, 142 (3), pp. 603 - 618
dc.identifier.issn 0022-3239
dc.identifier.other C1 en_US
dc.identifier.uri http://hdl.handle.net/10453/8273
dc.description.abstract This paper addresses the design of H∞ state feedback controllers for a class of nonlinear time-varying delay systems. The interesting features here are that the system in consideration is nonautonomous with fast-varying delays, the delay is also involved in the observation output, and the controllers to be designed satisfy some exponential stability constraints on the closed-loop poles. By using the proposed Lyapunov functional approach, neither a controllability assumption nor a bound restriction on nonlinear perturbations is required to obtain new sufficient conditions for the H∞ control. The conditions are derived in terms of a solution to the standard Riccati differential equations, which allows for simultaneous computation of the two bounds that characterize the stability rate of the solution. © Springer Science+Business Media, LLC 2009.
dc.language eng
dc.relation.isbasedon 10.1007/s10957-009-9512-9
dc.title H∞ control and exponential stability of nonlinear nonautonomous systems with time-varying delay
dc.type Journal Article
dc.description.version Published
dc.parent Journal of Optimization Theory and Applications
dc.journal.volume 3
dc.journal.volume 142
dc.journal.number 3 en_US
dc.publocation New York en_US
dc.identifier.startpage 603 en_US
dc.identifier.endpage 618 en_US
dc.cauo.name FEIT.School of Elec, Mech and Mechatronic Systems en_US
dc.conference Verified OK en_US
dc.for 0906 Electrical and Electronic Engineering
dc.for 0102 Applied Mathematics
dc.personcode 000935
dc.percentage 67 en_US
dc.classification.name Electrical and Electronic Engineering en_US
dc.classification.type FOR-08 en_US
dc.edition en_US
dc.custom en_US
dc.date.activity en_US
dc.location.activity ISI:000269450200010 en_US
dc.description.keywords Exponential stability
dc.description.keywords H∞ control
dc.description.keywords Nonlinear perturbation
dc.description.keywords Riccati equations
dc.description.keywords Time-varying delay
pubs.embargo.period Not known
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 Elec, Mech and Mechatronic Systems
pubs.organisational-group /University of Technology Sydney/Strength - Built Infrastructure
utslib.copyright.status Closed Access
utslib.copyright.date 2015-04-15 12:17:09.805752+10
pubs.consider-herdc true
utslib.collection.history Closed (ID: 3)


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