dc.contributor.author | Li, Qian | |
dc.contributor.author | Liu, Xinzhi | |
dc.contributor.author | Zhu, Qingxin | |
dc.contributor.author | Zhong, Shouming | |
dc.contributor.author | Cheng, Jun | |
dc.date.accessioned | 2020-05-21 19:10:31 (GMT) | |
dc.date.available | 2020-05-21 19:10:31 (GMT) | |
dc.date.issued | 2019-09 | |
dc.identifier.uri | https://doi.org/10.1016/j.jfranklin.2019.06.005 | |
dc.identifier.uri | http://hdl.handle.net/10012/15900 | |
dc.description | The 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.abstract | This 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.sponsorship | This 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.language.iso | en | en |
dc.publisher | Elsevier | en |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | stochastic synchronization | en |
dc.subject | semi-Markovian jump | en |
dc.subject | chaotic Lur'e systems | en |
dc.subject | sampled-data | en |
dc.subject | packet dropouts | en |
dc.title | Stochastic synchronization of semi-Markovian jump chaotic Lur’e systems with packet dropouts subject to multiple sampling periods | en |
dc.type | Article | en |
dcterms.bibliographicCitation | Qian 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.2019.06.005 | en |
uws.contributor.affiliation1 | Faculty of Mathematics | en |
uws.contributor.affiliation2 | Applied Mathematics | en |
uws.typeOfResource | Text | en |
uws.peerReviewStatus | Reviewed | en |
uws.scholarLevel | Faculty | en |