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Improved Stability Criteria for Time-Varying Delay System Using Second and First Order Polynomials

dc.contributor.authorMahto, S.
dc.contributor.authorElavasaran, R.M.
dc.contributor.authorGhosh, S.
dc.contributor.authorSaket, R.K.
dc.contributor.authorHossain, E.
dc.contributor.authorNagar, S.K.
dc.date.accessioned2020-12-14T10:03:13Z
dc.date.available2020-12-14T10:03:13Z
dc.date.issued2020
dc.description.abstractThis paper concerns the problem of stability analysis of systems with time-varying delay. Recent developments in this direction involves approximation of a second order polynomial function of time-delay. This paper proposes a new Lyapunov-Krasovskii Functional that does not introduce the second-order polynomial and thereby avoid the approximation involved in obtaining the stability criterion. Two stability criterion are presented, one introduces the second-order polynomial and the other one does not. A comparison using numerical examples shows that the avoidance of second-order polynomial formulation leads to improved results. CCBYen_US
dc.identifier.issn21693536
dc.identifier.urihttps://idr-sdlib.iitbhu.ac.in/handle/123456789/1152
dc.language.isoen_USen_US
dc.publisherInstitute of Electrical and Electronics Engineers Inc.en_US
dc.relation.ispartofseriesIEEE Access;
dc.subjectTime-varying delayen_US
dc.subjectLyapunov-Krasovskii functionalen_US
dc.subjectBessel-Legendre integral inequalityen_US
dc.subjectnegative-determination lemmaen_US
dc.titleImproved Stability Criteria for Time-Varying Delay System Using Second and First Order Polynomialsen_US
dc.typeArticleen_US

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