Oberseminar "Dynamische Systeme und Kontrolltheorie" - M. Sc. Ivan Atamas
Operator methods of constructing matrix-valued Lyapunov functions
Date: | 11/29/2024, 2:45 PM - 3:15 PM |
Category: | Veranstaltung |
Location: | Hubland Nord, Geb. 40, 01.003 |
Speaker: | M. Sc. Ivan Atamas, Institut für Mathematik, Universität Würzburg |
We consider a two-component coupled system of differential equations with operator coefficients. In contrast to the well-known small-gain approach, we assume the presence of the exponential stability property of only one subsystem. We introduce a condition for the dominance of this subsystem, which allows us to prove new conditions for the exponential stability of a coupled system. An example of infinite networks is given. The results are compared with a small-gain approach based on the Lyapunov vector function.