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Stochastic synchronization of semi-Markovian jump chaotic Lur’e systems with packet dropouts subject to multiple sampling periods

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dc.contributor.authorLi, Qian
dc.contributor.authorLiu, Xinzhi
dc.contributor.authorZhu, Qingxin
dc.contributor.authorZhong, Shouming
dc.contributor.authorCheng, Jun
dc.date.accessioned2020-05-21T19:10:31Z
dc.date.available2020-05-21T19:10:31Z
dc.date.issued2019-09
dc.descriptionThe final publication is available at Elsevier via https://doi.org/10.1016/j.jfranklin.2019.06.005. © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.description.abstractThis paper is concerned with the problem of stochastic synchronization for semi-Markovian jump chaotic Lur’e systems. Firstly, packet dropouts and multiple sampling periods are both considered. By input-delay approach and then fully considering the probability distribution characteristic of packet dropouts in the modeling, the original system is transformed to a stochastic time-delay system. Secondly, by getting the utmost out of the usable information on the actual sampling pattern, the probability distribution values of stochastic delay taking values in m given intervals can be explicitly obtained. Then, a newly augmented Lyapunov-Krasovskii functional is constructed. Based on that, some sufficient conditions in terms of linear matrix inequalities (LMIs) are derived to ensure the stochastic stability of the error system, and thus, the master system stochastically synchronize with the slave system. Finally, the effectiveness and potential of the obtained results is verified by a simulation example.en
dc.description.sponsorshipThis work was supported by the National Natural Science Foundation of China under Grant(No. 61533006, 61703060, 11601474 and 11461082), Opening Fund of Geomathematics Key Laboratory of Sichuan Province (scsxdz201704), and Research fund for International Young Scientists of National Natural Science Foundation of China (NSFC Grant No. 61550110248), and NSERC Canada.en
dc.identifier.urihttps://doi.org/10.1016/j.jfranklin.2019.06.005
dc.identifier.urihttp://hdl.handle.net/10012/15900
dc.language.isoenen
dc.publisherElsevieren
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectstochastic synchronizationen
dc.subjectsemi-Markovian jumpen
dc.subjectchaotic Lur'e systemsen
dc.subjectsampled-dataen
dc.subjectpacket dropoutsen
dc.titleStochastic synchronization of semi-Markovian jump chaotic Lur’e systems with packet dropouts subject to multiple sampling periodsen
dc.typeArticleen
dcterms.bibliographicCitationQian Li, Xinzhi Liu, Qingxin Zhu, Shouming Zhong, Jun Cheng, Stochastic synchronization of semi-Markovian jump chaotic Lur’e systems with packet dropouts subject to multiple sampling periods, Journal of the Franklin Institute (2019), doi: https://doi.org/10.1016/j.jfranklin.2019.06.005en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Applied Mathematicsen
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen
uws.typeOfResourceTexten

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