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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.accessioned2021-03-28T12:27:46Z
dc.date.available2021-03-28T12:27:46Z
dc.date.issued2021-03-25
dc.date.submitted2020-04-01
dc.identifier.citationBen Nasser, B., Djemai, M., Defoort, M., & Laleg-Kirati, T.-M. (2021). Time scale observability and constructibility of linear dynamic equations. International Journal of Control, 1–11. doi:10.1080/00207179.2021.1890823
dc.identifier.issn0020-7179
dc.identifier.issn1366-5820
dc.identifier.doi10.1080/00207179.2021.1890823
dc.identifier.urihttp://hdl.handle.net/10754/668313
dc.description.abstractThis paper investigates the observability and constructibility problems of time-varying linear dynamic equations using time scale theory. First, we define observability, reachability and constructibility operators on time scales. Some necessary and sufficient conditions are proposed to ensure the observability on non-uniform time domains based on some linear algebra tools. Then, constructibility is also examined using the same approach. Moreover, the link between observability and constructibility concepts on arbitrary time sets is discussed. Further, the observability and reachability duality relationship for time-varying linear systems on time scales is established. The current work unifies and extends some existing results given for standard cases (i.e. the continuous line and the discrete time domain) to non-uniform time domains. Finally, the obtained results are described with an illustrative example.
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/10.1080/00207179.2021.1890823
dc.rightsArchived with thanks to International Journal of Control
dc.titleTime scale observability and constructibility of linear dynamic equations
dc.typeArticle
dc.contributor.departmentComputational Bioscience Research Center (CBRC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentEstimation, Modeling and ANalysis Group
dc.identifier.journalInternational Journal of Control
dc.rights.embargodate2022-03-25
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, INSA Hauts-de-France, Université Polytechnique Hauts-de-France, Mont Houy, Valenciennes, France
dc.identifier.pages1-11
kaust.personBen Nasser, Bacem
kaust.personLaleg-Kirati, Taous-Meriem
kaust.grant.numberBAS/1/1627-01-01
dc.date.accepted2021-01-30


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