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dc.contributor.authorBen Nasser, Bacem
dc.contributor.authorDjemai, Mohamed
dc.contributor.authorDefoort, Michael
dc.contributor.authorLaleg-Kirati, Taous-Meriem
dc.date.accessioned2021-02-15T06:30:52Z
dc.date.available2021-02-15T06:30:52Z
dc.date.issued2021-02-08
dc.date.submitted2020-09-01
dc.identifier.citationBen Nasser, B., Djemai, M., Defoort, M., & Laleg-Kirati, T.-M. (2021). Time scale state feedback h-stabilisation of linear systems under Lipschitz-type disturbances. International Journal of Systems Science, 1–11. doi:10.1080/00207721.2020.1869345
dc.identifier.issn0020-7721
dc.identifier.issn1464-5319
dc.identifier.doi10.1080/00207721.2020.1869345
dc.identifier.urihttp://hdl.handle.net/10754/667417
dc.description.abstractThis paper studies the h-stabilisation problem of certain classes of perturbed systems on time scales. Sufficient conditions for the control law design are proposed to ensure the h-stability of the closed-loop dynamical system under Lipschitz-type disturbances. Using the Gronwall inequality approach with time scale theory, the h-stability of the closed-loop system is investigated in non-uniform time domains with bounded graininess. Some numerical examples are provided to show the feasibility of the obtained results using the proposed approach for systems evolving on some arbitrary time scales.
dc.description.sponsorshipResearch reported in this publication was supported by King Abdullah University of Science and Technology (KAUST) through the base research fund under [grant number BAS/1/1627-01-01].
dc.publisherInforma UK Limited
dc.relation.urlhttps://www.tandfonline.com/doi/full/10.1080/00207721.2020.1869345
dc.rightsArchived with thanks to International Journal of Systems Science
dc.titleTime scale state feedback h-stabilisation of linear systems under Lipschitz-type disturbances
dc.typeArticle
dc.contributor.departmentComputational Bioscience Research Center (CBRC)
dc.contributor.departmentComputer, Electrical and Mathematical Science and Engineering (CEMSE) Division
dc.contributor.departmentElectrical and Computer Engineering Program
dc.contributor.departmentEstimation, Modeling and ANalysis Group
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalInternational Journal of Systems Science
dc.rights.embargodate2022-02-08
dc.eprint.versionPost-print
dc.contributor.institutionDepartment of Mathematics, Physics and Computer Science, Higher Institute of Applied Sciences and Technology of Kairouan, University of Kairouan, Kairouan, Tunisia
dc.contributor.institutionLAMIH, CNRS, UMR-8201, Université Polytechnique Hauts-de-France, Valenciennes, France
dc.identifier.pages1-11
kaust.personBen Nasser, Bacem
kaust.personLaleg-Kirati, Taous-Meriem
kaust.grant.numberBAS/1/1627-01-01
dc.date.accepted2020-12-22
dc.date.published-online2021-02-08
dc.date.published-print2021-06-11


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