Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/109205
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dc.contributor.authorXu, Z.en
dc.contributor.authorSu, H.en
dc.contributor.authorShi, P.en
dc.contributor.authorLu, R.en
dc.contributor.authorWu, Z.en
dc.date.issued2017en
dc.identifier.citationIEEE Transactions on Cybernetics, 2017; 47(10):3208-3217en
dc.identifier.issn2168-2267en
dc.identifier.issn2168-2275en
dc.identifier.urihttp://hdl.handle.net/2440/109205-
dc.description.abstractIn this paper, the reachable set estimation problem is investigated for Markovian jump neural networks (NNs) with time-varying delays and bounded peak disturbances. Our goal is to find a set as small as possible which bounds all the state trajectories of the NNs under zero initial conditions. In the framework of Lyapunov-Krasovskii theorem, a newly-found summation inequality combined with the reciprocally convex approach is used to bound the difference of the proposed Lyapunov functional. A new less conservative condition dependent on the upper bound, the lower bound and the delay range of the time delay is established to guarantee that the state trajectories are bounded within an ellipsoid-like set. Then the result is extended to the case with incomplete transition probabilities and a more general condition is derived. Finally, examples including a genetic regulatory network are given to demonstrate the usefulness and the effectiveness of the results obtained in this paper.en
dc.description.statementofresponsibilityZhaowen Xu, Hongye Su, Peng Shi, Renquan Lu, Zheng-Guang Wuen
dc.language.isoenen
dc.publisherIEEEen
dc.rights© 2016 IEEE.en
dc.subjectMarkovian jump systems; neural networks (NNs); reachable set estimationen
dc.titleReachable set estimation for Markovian jump neural networks with time-varying delaysen
dc.typeJournal articleen
dc.identifier.rmid0030076007en
dc.identifier.doi10.1109/TCYB.2016.2623800en
dc.relation.granthttp://purl.org/au-research/grants/arc/DP140102180en
dc.relation.granthttp://purl.org/au-research/grants/arc/LP140100471en
dc.identifier.pubid370551-
pubs.library.collectionElectrical and Electronic Engineering publicationsen
pubs.library.teamDS10en
pubs.verification-statusVerifieden
pubs.publication-statusPublisheden
dc.identifier.orcidShi, P. [0000-0001-8218-586X]en
Appears in Collections:Electrical and Electronic Engineering publications

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