Deutsch Intern
Dynamics and Control

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.

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