File(s) under permanent embargo
Linear functional state bounding for perturbed time-delay systems and its application
journal contribution
posted on 2015-06-01, 00:00 authored by P T Nam, Pubudu PathiranaPubudu Pathirana, Hieu TrinhHieu TrinhThis paper considers time-delay systems with bounded disturbances. We study a new problem of finding an upper bound of an absolute value function of any given linear functional of the state vector starting from the origin of the system. Based on the Lyapunov-Krasovskii method combining with the recent Wirtinger-based integral inequality that has just been proposed by Seuret & Gouaisbaut (2013. Wirtinger-based integral inequality: application to time-delay systems. Automatica, 49, 2860-2866), sufficient conditions for the existence of an upper bound of the function are derived. The obtained results are shown to be more effective than those adapted from the existing works on reachable set bounding. Furthermore, the obtained results are applied to refine existing ellipsoidal bounds of the reachable sets. The effectiveness of the obtained results is illustrated by two numerical examples.
History
Journal
IMA Journal of mathematical control and informationVolume
32Pagination
245 - 255Publisher
Oxford University PressLocation
Oxford, Eng.Publisher DOI
ISSN
0265-0754eISSN
1471-6887Language
engPublication classification
C Journal article; C1 Refereed article in a scholarly journalCopyright notice
2015, Oxford University PressUsage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC