Stability of Markovian jump systems over networks via delta operator approach

dc.contributor.authorYang, H.
dc.contributor.authorXia, Y.
dc.contributor.authorShi, P.
dc.contributor.authorFu, M.
dc.date.issued2012
dc.description.abstractThis paper investigates the problem of stability for a class of linear uncertain Markovian jump systems over networks via the delta operator approach. The sensor-to-controller random network-induced delay and arbitrary packet losses are considered for mode-dependent time delays. That is, a Markov process is used to model the time-varying delays which are dependent on the system mode. Based on the Lyapunov-Krasovskii functional in the delta domain, a new sufficient condition for the solvability of the stability problem is presented in terms of linear matrix inequalities. A numerical example is given to illustrate the effectiveness of the techniques developed. © Springer Science+Business Media, LLC 2011.
dc.description.statementofresponsibilityHongjiu Yang, Yuanqing Xia, Peng Shi, Mengyin Fu
dc.identifier.citationCircuits, Systems and Signal Processing, 2012; 31(1):107-125
dc.identifier.doi10.1007/s00034-010-9263-8
dc.identifier.issn0278-081X
dc.identifier.issn1531-5878
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/2440/77845
dc.language.isoen
dc.publisherBirkhauser Boston Inc
dc.rights© Springer Science+Business Media, LLC 2011
dc.source.urihttps://doi.org/10.1007/s00034-010-9263-8
dc.subjectDelta operator systems
dc.subjectNetworked control systems
dc.subjectRobust stability
dc.subjectMarkovian jump parameters
dc.subjectMode-dependent delays
dc.subjectLinear matrix inequalities (LMIs)
dc.titleStability of Markovian jump systems over networks via delta operator approach
dc.typeJournal article
pubs.publication-statusPublished

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