Finite-time stabilisation for Markov jump systems with Gaussian transition probabilities

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dc.contributor.authorLuan, X.
dc.contributor.authorShi, P.
dc.contributor.authorLiu, F.
dc.date.issued2013
dc.description.abstractThe problems of finite-time analysis and design for a class of Markov jump systems with Gaussian transition probabilities (TPs) are investigated in this study. Gaussian TP density function is introduced to quantise the stochastic uncertain information of TPs. Mode-dependent and variation-dependent controller is designed to make the resulting closed-loop systems finite-time bounded and finite-time stabilisable for all admissible unknown external disturbances and random uncertain TPs. It is shown that the approach proposed in the paper dealing with TPs outperforms available ones in literature to date, which is also confirmed by a numerical example.
dc.description.statementofresponsibilityXiaoli Luan, Peng Shi and Fei Liu
dc.identifier.citationIET Control Theory and Applications, 2013; 7(2):298-304
dc.identifier.doi10.1049/iet-cta.2012.0509
dc.identifier.issn1751-8644
dc.identifier.issn1751-8652
dc.identifier.orcidShi, P. [0000-0001-6295-0405] [0000-0001-8218-586X] [0000-0002-0864-552X] [0000-0002-1358-2367] [0000-0002-5312-5435]
dc.identifier.urihttp://hdl.handle.net/2440/79634
dc.language.isoen
dc.publisherThe Institution of Engineering and Technology
dc.rights© The Institution of Engineering and Technology 2013
dc.source.urihttps://doi.org/10.1049/iet-cta.2012.0509
dc.titleFinite-time stabilisation for Markov jump systems with Gaussian transition probabilities
dc.typeJournal article
pubs.publication-statusPublished

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