Christopher Kellett (06/07/17)

Anders Claesson, júlí 4, 2017

Málstofa í stærðfræði

Fyrirlesari: Christopher Kellett, University of Newcastle (Australia)

Titill: Back and Forth in Lyapunov’s Second Method: Non-Uniform Subtleties

Staðsetning: Tg-227 (Tæknigarður, 2. hæð)
Tími: Fimmtudagur 6. júlí kl. 13:20

Ágrip:

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.