On the uniform exponential stability of linear time-delay systems
dc.contributor.author
dc.date.accessioned
2018-07-20T10:57:26Z
dc.date.available
2018-07-20T10:57:26Z
dc.date.issued
2004-12-01
dc.identifier.issn
0161-1712
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dc.description.abstract
This paper deals with the global uniform exponential stability independent of delay of time-delay linear and time-invariant systems subject to point and distributed delays for the initial conditions being continuous real functions except possibly on a set of zero measure of bounded discontinuities. It is assumed that the delay-free system as well as an auxiliary one are globally uniformly exponentially stable and globally uniform exponential stability independent of delay, respectively. The auxiliary system is, typically, part of the overall dynamics of the delayed system but not necessarily the isolated undelayed dynamics as usually assumed in the literature. Since there is a great freedom in setting such an auxiliary system, the obtained stability conditions are very useful in a wide class of practical application
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application/pdf
dc.language.iso
eng
dc.publisher
International Journal of Mathematics and Mathematical Sciences
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Reproducció digital del document publicat a: http://dx.doi.org/10.1155/S016117120430918X
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© International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, p. 3445-3467
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Articles publicats (D-EEEiA)
dc.rights
Reconeixement 3.0 Espanya
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dc.subject
dc.title
On the uniform exponential stability of linear time-delay systems
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.type.version
info:eu-repo/semantics/publishedVersion
dc.identifier.doi
dc.identifier.idgrec
008269
dc.type.peerreviewed
peer-reviewed
dc.identifier.eissn
1687-0425