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

dc.contributor.authorSharat Chandra Mahto
dc.contributor.authorRajvikram Madurai Elavarasan
dc.contributor.authorSandip Ghosh
dc.contributor.authorR.K. Saket
dc.contributor.authorEklas Hossain
dc.contributor.authorShyam Krishna Nagar
dc.date.accessioned2026-02-07T09:25:55Z
dc.date.issued2020
dc.description.abstractThis article 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 article 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. © 2013 IEEE.
dc.identifier.doi10.1109/ACCESS.2020.3039635
dc.identifier.issn21693536
dc.identifier.urihttps://doi.org/10.1109/ACCESS.2020.3039635
dc.identifier.urihttps://dl.bhu.ac.in/bhuir/handle/123456789/36416
dc.publisherInstitute of Electrical and Electronics Engineers Inc.
dc.subjectBessel-Legendre integral inequality
dc.subjectLyapunov-Krasovskii functional
dc.subjectnegative-determination lemma
dc.subjectTime-varying delay
dc.titleImproved Stability Criteria for Time-Varying Delay System Using Second and First Order Polynomials
dc.typePublication
dspace.entity.typeArticle

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