A Method and New Results for Stability and Instability of Autonomous Functional Differential Equations

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Previous article Next article A Method and New Results for Stability and Instability of Autonomous Functional Differential EquationsDaniel I. BarneaDaniel I. Barneahttps://doi.org/10.1137/0117064PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] N. N. Krasovskii˘, Stability of motion. Applications of Lyapunov's second method to differential systems and equations with delay, Translated by J. L. Brenner, Stanford University Press, Stanford, Calif., 1963vi+188 MR0147744 0109.06001 Google Scholar[2] Richard Bellman and , Kenneth L. Cooke, Differential-difference equations, Academic Press, New York, 1963xvi+462 MR0147745 0105.06402 Google Scholar[3] A. Halanay, Differential equations: Stability, oscillations, time lags, Academic Press, New York, 1966xii+528 MR0216103 0144.08701 Google Scholar[4] Jack K. Hale, Sufficient conditions for stability and instability of autonomous functional-differential equations, J. 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Yorke18 July 2006 | SIAM Review, Vol. 13, No. 1AbstractPDF (2603 KB)On Liapunov-Razumikhin type theorems18 August 2006 Cross Ref Stability and robust stability of time-delay systems: A guided tour Cross Ref A dissipative dynamical systems approach to stability analysis of time delay systems Cross Ref Lyapunov stability analysis for nonlinear delay systems Cross Ref Structured phase margin for stability analysis of linear systems with time-delay Cross Ref Frequency Domain Sufficient Conditions for Stability Analysis of Linear Neutral Time-Delay Systems Cross Ref Volume 17, Issue 4| 1969SIAM Journal on Applied Mathematics History Submitted:23 May 1968Published online:12 July 2006 InformationCopyright © 1969 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0117064Article page range:pp. 681-697ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics