Stability of Markovian jump generalized neural networks with interval time-varying delays

Simple item page
dc.contributor.authorSaravanakumar, R.
dc.contributor.authorSyed Ali, M.
dc.contributor.authorAhn, C.
dc.contributor.authorKarimi, H.
dc.contributor.authorShi, P.
dc.date.issued2017
dc.description.abstractThis paper examines the problem of asymptotic stability for Markovian jump generalized neural networks with interval time-varying delays. Markovian jump parameters are modeled as a continuous-time and finite-state Markov chain. By constructing a suitable Lyapunov–Krasovskii functional (LKF) and using the linear matrix inequality (LMI) formulation, new delay-dependent stability conditions are established to ascertain the mean-square asymptotic stability result of the equilibrium point. The reciprocally convex combination technique, Jensen’s inequality, and the Wirtinger-based double integral inequality are used to handle single and double integral terms in the time derivative of the LKF. The developed results are represented by the LMI. The effectiveness and advantages of the new design method are explained using five numerical examples.
dc.description.statementofresponsibilityRamasamy Saravanakumar, Muhammed Syed Ali, Choon Ki Ahn, Hamid Reza Karimi and Peng Shi
dc.identifier.citationIEEE Transactions on Neural Networks and Learning Systems, 2017; 28(8):1840-1850
dc.identifier.doi10.1109/TNNLS.2016.2552491
dc.identifier.issn2162-237X
dc.identifier.issn2162-2388
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/2440/115392
dc.language.isoen
dc.publisherIEEE
dc.rights© 2016 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See http://www.ieee.org/publications_standards/publications/rights/index.html for more information.
dc.source.urihttps://doi.org/10.1109/tnnls.2016.2552491
dc.subjectAsymptotic stability; generalized neural networks (GNNs); interval time-varying delay; Markovian jump parameters
dc.titleStability of Markovian jump generalized neural networks with interval time-varying delays
dc.typeJournal article
pubs.publication-statusPublished

Files

Collections

Electrical and Electronic Engineering publications