News
Vortrag im Mathematischen Kolloquium von Andrii Mironchenko „Lyapunov method for robust stability of infinite-dimensional systems: Recent developments and open problems“
Donnerstag, der 20. April 2023
Am 20. April 2023 um 16:30 Uhr spricht
Herr Dr. habil. Andrii Mironchenko
Lehrstuhl für Dynamische Systeme
Fakultät für Informatik und Mathematik
Universität Passau
(Gast am Lehrstuhl für Angewandte Mathematik
bei Herrn Prof. Dr. Lars Grüne)
über das Thema
„Lyapunov method for robust stability of infinite-dimensional systems: Recent developments and open problems“
ABSTRACT:
We start with a short recap of classical Lyapunov characterizations of the asymptotic stability
of nonlinear infinite-dimensional systems.
Next, we argue that for many system classes existence of a less restrictive type of Lyapunov functions, so-called non-coercive Lyapunov functions, is sufficient to ensure theasymptotic stability of a dynamical system.
Finally, we consider the infinite-dimensional systems with inputs (boundary control systems) and show how coercive and non-coercive Lyapunov functions can be used to analysethe robust stability of such systems.
We close the talk with some open problems in the Lyapunov theory for systems with inputs.
Next, we argue that for many system classes existence of a less restrictive type of Lyapunov functions, so-called non-coercive Lyapunov functions, is sufficient to ensure theasymptotic stability of a dynamical system.
Finally, we consider the infinite-dimensional systems with inputs (boundary control systems) and show how coercive and non-coercive Lyapunov functions can be used to analysethe robust stability of such systems.
We close the talk with some open problems in the Lyapunov theory for systems with inputs.
Weitere Einzelheiten, die Einladung und die Zusammenfassung des Vortrags finden Sie auf den Informationen zum SoSe 2023 des Mathematischen Kolloquium.