• Speaker: A/Prof Chris Kellett, School of Electrical Engineering and Computer Science, The University of Newcastle
  • Title: Back and Forth in Lyapunov's Second Method - Non-uniform Subtleties
  • Location: Room V205, Mathematics Building (Callaghan Campus) The University of Newcastle
  • Time and Date: 4:00 pm, Tue, 13th Jun 2017
  • Abstract:

    Lyapunov's second or direct method provides an easy-to-check sufficient condition for stability properties of equilibria. The converse question - given a stability property, does there exist an appropriate Lyapunov function? - has been fundamental in differentiating and classifying different stability properties, particularly with regards to "uniform" stability.

    In this talk, I will review the usual textbook definitions for Lyapunov functions for time-varying systems and describe where they are deficient. Some interesting new sufficient (and probably necessary) conditions pop up along the way.

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