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Leakage-delay-dependent stability analysis of Markovian jumping linear systems with time-varying delays and nonlinear perturbations
journal contribution
posted on 2016-04-01, 00:00 authored by R Rakkiyappan, S Lakshmanan, R Sivasamy, Chee Peng LimChee Peng LimThis study is concerned with the problem of leakage-delay-dependent stability analysis of Markovian jumping linear systems with time-varying delays and nonlinear perturbations. Mixed time-varying delays, which include leakage, discrete, and distributed delays, pertaining to the proposed system are addressed. Based on an improved Lyapunov-Krasovskii functional with triple integral terms and by employing the model transformation technique and the reciprocal convex method, the sufficient conditions for the delay-dependent stability of the considered system are derived. Moreover, the sufficient conditions obtained are formulated in terms of linear matrix inequalities to achieve the global asymptotical stability in mean square of the considered delayed system. Finally, numerical examples are provided to demonstrate the less conservatism and effectiveness of the proposed results.
History
Journal
Applied Mathematical ModellingVolume
40Issue
7-8Pagination
5026 - 5043Publisher DOI
Link to full text
ISSN
0307-904XPublication classification
C Journal article; C1 Refereed article in a scholarly journalCopyright notice
2015, ElsevierUsage metrics
Keywords
Science & TechnologyTechnologyPhysical SciencesEngineering, MultidisciplinaryMathematics, Interdisciplinary ApplicationsMechanicsEngineeringMathematicsLeakage time-varying delayNonlinear perturbationsLinear matrix inequalityUNCERTAIN NEUTRAL SYSTEMSROBUST STABILITYEXPONENTIAL STABILITYASYMPTOTIC STABILITYDYNAMIC-SYSTEMSNEURAL-NETWORKSCRITERIADISCRETEArtificial Intelligence and Image Processing
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