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Vortrag im Rahmen des Doctoral Seminars von Herrn Alexander Zuyev (Max Planck Institut Magdeburg)

26. Februar 2020 um 10:00 - 10:45

Veranstaltungskategorie Vortrag |Foto: kasto/Fotolia.com

Veranstaltungsort
N.2.01

Veranstalter
Institut für Mathematik


Beschreibung

Titel: Control and stabilization of nonlinear systems with oscillatory dynamics

Kurzfassung:
This talk addresses the issue of asymptotic behavior of solutions to nonlinear
control systems governed by ordinary and partial differential equations.
It is assumed that the class of systems under consideration satisfies controllability conditions with unconstrained inputs. In the finite-dimensional case, we propose a family of fast oscillating feedback controls that stabilize the equilibrium with exponential decay rate. The idea of proof is based on an extension of Lyapunov’s direct method and the Chen-Fliess series.
A characterization of attractors of infinite-dimensional closed-loop systems is obtained by the invariance principle. These results are applied for the stabilization of nonholonomic systems and mathematical models of controlled flexible structures.

Vortragende(r)
Prof. Dr. Alexander Zuyev

Kontakt
Senka Haznadar (senka [dot] haznadar [at] aau [dot] at)

Details

Termine:
26. Februar 2020 um 10:00 - 10:45 Uhr
Veranstaltungskategorie:
zum Veranstaltungskalender

Details

Termine:
26. Februar 2020 um 10:00 - 10:45 Uhr
Veranstaltungskategorie:
zum Veranstaltungskalender