Stability analysis of time-varying neutral stochastic hybrid delay system

dc.contributor.authorChen, H.
dc.contributor.authorShi, P.
dc.contributor.authorLim, C.C.
dc.date.issued2023
dc.description.abstractThis note analyses the stochastic stability for time-varying neutral stochastic hybrid delay system, which includes the stability in pth (p≥2)-moment, the asymptotical stability in pth (p≥2 )-moment, the exponential stability in pth (p≥2 )-moment, and the almost surely exponential stability. One modified version of generalized delay integral inequality, the Lyapunov-Krasovskii function and the stochastic analysis are used. The proposed methodology can surmount the analytical difficulty, which stems from the coexistence of neutral term, stochastic disturbance, bounded time-varying delay and a sign-changed time-varying coefficient in the diffusion condition. An example is given to show the effectiveness of the theoretical results obtained.
dc.description.statementofresponsibilityHuabin Chen, Peng Shi and Cheng-Chew Lim
dc.identifier.citationIEEE Transactions on Automatic Control, 2023; 68(9):5576-5583
dc.identifier.doi10.1109/TAC.2022.3220517
dc.identifier.issn0018-9286
dc.identifier.issn1558-2523
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.orcidLim, C.C. [0000-0002-2463-9760]
dc.identifier.urihttps://hdl.handle.net/2440/139776
dc.language.isoen
dc.publisherInstitute of Electrical and Electronics Engineers
dc.relation.granthttp://purl.org/au-research/grants/arc/DP170102644
dc.rights© 2022 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission.
dc.source.urihttps://doi.org/10.1109/tac.2022.3220517
dc.subjectNonlinear neutral stochastic hybrid system
dc.subjectstochastic stability
dc.subjecttime-varying delay
dc.subjecttime-varying system
dc.titleStability analysis of time-varying neutral stochastic hybrid delay system
dc.typeJournal article
pubs.publication-statusPublished

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