|20. Dezember 2022
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Prof. Sergey Dashkovskiy
Dynamische Systeme und Kontrolltheorie
Institut für Mathematik
Tuesday 2022-12-20 3 p.m.
IST Seminar Room 2.255 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen
For a wide class of nonlinear systems including infinite dimensional ones, which are subjected to impulsive actions and external distubances. We will discuss stability conditions of the dwell-time type guaranteeing the input-to-state stability. Lyapunov will be used to derive these conditions. Our results cover the situation, where both impulsive actions and the continuous (impulse free) dynamics are not stable simultaneously.
Sergey Dashkovskiy received the M.Sc. degree in applied mathematics from Moscow Lomonosov University, Russia, in 1996, the Ph.D. degree in mathematics from the University of Jena in 2002, and the Habilitation from the University of Bremen, in 2009. He had visiting, deputy, and tenured Professor positions with Arizona State University in 2007, University of Bayreuth in 2010, and University of Applied Sciences Erfurt from 2011 to 2015, respectively. Since 2016, he has been a Professor of Mathematics at the University of Würzburg. His current research interests include stability theory of nonlinear systems and their interconnections. Prof. Dashkovskiy is an Associate Editor for several journals in the field of dynamical systems and control, including IEEE TRANSACTIONS ON AUTOMATIC CONTROL, Nonlinear Analysis: Hybrid Systems, and IET Control Theory and Applications.