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dc.contributor.authorLiang, Chengbin
dc.contributor.authorWang, JinRong
dc.contributor.authorO'Regan, Donal
dc.date.accessioned2018-09-20T16:14:33Z
dc.date.available2018-09-20T16:14:33Z
dc.date.issued2017-01-01
dc.identifier.citationLiang, Chengbin; Wang, JinRong; O'Regan, Donal (2017). Controllability of nonlinear delay oscillating systems. Electronic Journal of Qualitative Theory of Differential Equations (47),
dc.identifier.issn1417-3875
dc.identifier.urihttp://hdl.handle.net/10379/12447
dc.description.abstractIn this paper, we study the controllability of a system governed by second order delay differential equations. We introduce a delay Gramian matrix involving the delayed matrix sine, which is used to establish sufficient and necessary conditions of controllability for the linear problem. In addition, we also construct a specific control function for controllability. For the nonlinear problem, we construct a control function and transfer the controllability problem to a fixed point problem for a suitable operator. We give a sufficient condition to guarantee the nonlinear delay system is controllable. Two examples are given to illustrate our theoretical results by calculating a specific control function and inverse of a delay Gramian matrix.
dc.publisherUniversity of Szeged
dc.relation.ispartofElectronic Journal of Qualitative Theory of Differential Equations
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectcontrollability
dc.subjectdelay gramian matrix
dc.subjectcontrol function
dc.subjectdelay oscillating systems
dc.subjectpairwise permutable matrices
dc.subjectlinear discrete-systems
dc.subjectpure delay
dc.subjectdifferential-equations
dc.subjectconstant-coefficients
dc.subjectstability
dc.subjectrepresentation
dc.subjectparts
dc.titleControllability of nonlinear delay oscillating systems
dc.typeArticle
dc.identifier.doi10.14232/ejqtde.2017.1.47
dc.local.publishedsourcehttps://doi.org/10.14232/ejqtde.2017.1.47
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland