Converse Theorems for Finite Time Stability

Previous article Next article Converse Theorems for Finite Time StabilityLeonard WeissLeonard Weisshttps://doi.org/10.1137/0116110PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Leonard Weiss and , E. F. Infante, On the stability of systems defined over a finite time interval, Proc. Nat. Acad. Sci. U.S.A., 54 (1965), 44–48 MR0179427 0134.30702 CrossrefISIGoogle Scholar[2] Leonard Weiss and , E. F. Infante, Finite time stability under perturbing forces and on product spaces, IEEE Trans. Automatic Control, AC-12 (1967), 54–59 10.1109/TAC.1967.1098483 MR0209589 0168.33903 CrossrefISIGoogle Scholar[3] Taro Yoshizawa, Stability theory by Liapunov's second method, Publications of the Mathematical Society of Japan, No. 9, The Mathematical Society of Japan, Tokyo, 1966viii+223 MR0208086 0144.10802 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails A comprehensive review on telecommunication challenges of microgrids secondary controlInternational Journal of Electrical Power & Energy Systems, Vol. 140 | 1 Sep 2022 Cross Ref Finite-Time Stability Analysis: A Tutorial SurveyComplexity, Vol. 2020 | 19 Oct 2020 Cross Ref Distributed Control Strategies for Microgrids: An OverviewIEEE Access, Vol. 8 | 1 Jan 2020 Cross Ref Finite-time annular domain stability of impulsive switched systems: mode-dependent parameter approachInternational Journal of Control, Vol. 92, No. 6 | 21 November 2017 Cross Ref Finite-time Stability Analysis of Linear Time-varying Systems: A Numerical Algorithm2018 IEEE International Conference on Mechatronics and Automation (ICMA) | 1 Aug 2018 Cross Ref Finite-time stability analysis of a class of nonlinear time-varying systems: a numerical algorithmInternational Journal of Systems Science, Vol. 49, No. 10 | 10 July 2018 Cross Ref On the Uniform Finite-Time Stability of Continuous Linear Time-Varying Systems: A Numerical Algorithm2018 37th Chinese Control Conference (CCC) | 1 Jul 2018 Cross Ref Finite time stability of semilinear delay differential equationsNonlinear Dynamics, Vol. 89, No. 1 | 30 March 2017 Cross Ref A finite-time gain measure approach of linear time-varying systems: Analysis and design2014 American Control Conference | 1 Jun 2014 Cross Ref A finite-time generalized H2 gain measure and its performance criterion2013 9th Asian Control Conference (ASCC) | 1 Jun 2013 Cross Ref Finite time stabilization of linear systems by state feedback : Application to mixing tank system2013 International Conference on Control, Decision and Information Technologies (CoDIT) | 1 May 2013 Cross Ref Coordinated target assignment via a finite‐time gain measurement approachIET Control Theory & Applications, Vol. 7, No. 3 | 1 February 2013 Cross Ref Finite time stabilization of non linear systems by state feedbackEighth International Multi-Conference on Systems, Signals & Devices | 1 Mar 2011 Cross Ref Robust L2-L∞ Filtering of Time-Delay Jump Systems with Respect to the Finite-Time IntervalMathematical Problems in Engineering, Vol. 2011 | 1 Jan 2011 Cross Ref Computing a Basin of Attraction to a Target Region by Solving Bilinear Semi-Definite ProblemsComputer Algebra in Scientific Computing | 1 Jan 2011 Cross Ref Finite time stability of singularly impulsive dynamical systems49th IEEE Conference on Decision and Control (CDC) | 1 Dec 2010 Cross Ref Finite time stability of singularly impulsive dynamical systems2010 15th International Conference on Methods and Models in Automation and Robotics | 1 Aug 2010 Cross Ref Finite-time stabilization of non affine systems a constructive method for polynomial systems2010 4th International Symposium on Communications, Control and Signal Processing (ISCCSP) | 1 Mar 2010 Cross Ref Finite-time stability of discrete-time nonlinear systems: analysis and design2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. 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Dr. Weiss' research is supported, in part, by the Air Force Office of Scientific Research under Grant AFOSR 69–1646.Ordinary Differential Equations | 1 Jan 1972 Cross Ref A Theorem on Contractive StabilityA. A. KayandeSIAM Journal on Applied Mathematics, Vol. 21, No. 4 | 12 July 2006AbstractPDF (257 KB)Set stability of differential equationsInternational Journal of Systems Science, Vol. 1, No. 3 | 24 October 2007 Cross Ref An Overview of Finite-Time StabilityCurrent Trends in Nonlinear Systems and Control Cross Ref On uniform and nonuniform finite-time stabilityIEEE Transactions on Automatic Control, Vol. 14, No. 3 | 1 Jun 1969 Cross Ref Further results concerning finite-time stabilityIEEE Transactions on Automatic Control, Vol. 14, No. 2 | 1 Apr 1969 Cross Ref Volume 16, Issue 6| 1968SIAM Journal on Applied Mathematics1123-1403 History Submitted:28 November 1967Published online:12 July 2006 InformationCopyright © 1968 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0116110Article page range:pp. 1319-1324ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics