Pursuit differential-difference games with pure time-lag

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dc.contributor.authorBaranovska, Lesia V.
dc.date.accessioned2020-03-25T09:46:35Z
dc.date.available2020-03-25T09:46:35Z
dc.date.issued2019-03
dc.descriptionThis is a post-peer-review, pre-copyedit version of an article published in “Discrete & Continuous Dynamical Systems – Series B”. The final authenticated version is available online at: http://dx.doi.org/10.3934/dcdsb.2019004en
dc.description.abstractThe analytical approach for the solution of pursuit differential-difference games with pure time-lag is considered. For the pursuit local problem with the fixed time the scheme of the method of resolving functions and Pontryagin's first direct method are developed. The integral presentation of the game solution based on the time-delay exponential is proposed at the first time. The guaranteed times of the game termination are found, and corresponding control laws are constructed. Comparison of the times of approach by the method of resolving functions and Pontryagin's first direct method for the initial problem are made.en
dc.format.pagerangePp. 1021-1031en
dc.identifier.citationLesia V. Baranovska. Pursuit differential-difference games with pure time-lag. Discrete & Continuous Dynamical Systems - B, 2019, 24 (3) : 1021-1031. doi: 10.3934/dcdsb.2019004en
dc.identifier.doihttp://dx.doi.org/10.3934/dcdsb.2019004
dc.identifier.issn1531-3492
dc.identifier.urihttps://ela.kpi.ua/handle/123456789/32440
dc.language.isoenen
dc.publisherAmerican Institute of Mathematical Sciencesen
dc.publisher.placeUSAen
dc.sourceDiscrete & Continuous Dynamical Systems - B, March 2019, Volume 24 , Issue 3en
dc.subjectdifferential gamesen
dc.subjectpursuit gamesen
dc.subjectgames of approachen
dc.subjectcontrol theoryen
dc.subject.udc519.837en
dc.titlePursuit differential-difference games with pure time-lagen
dc.typeArticleen

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