报告题目1：Stability properties of dynamical systems subjected to impulsive actions

报告人：Sergey Dashkovskiy，University of Würzburg

报告时间：2025年11月5日（周三）14:00-17:00

报告地点：20-200

报告摘要：Impulsive systems are constituted as a combination of a continuous dynamics, also called flow, and discrete dynamics, also called jumps or impulsive actions.
In most of works devoted to stability and stabilization of impulsive systems stability of either flow or jumps is presumed. To guarantee stability of the whole system one tries to compensate unstable dynamics by the stabilizing properties of the other one. This usually can be done by a restriction on the jump frequencies, also called dwell-time conditions. 
However, it is possible that a combination of both unstable flow and destabilizing jumps leads to a stable dynamics of the whole impulsive system. Essentially different tools are needed to establish stability conditions in this case.
 Moreover, it can happen, that a combination of a stable flow with stabilizing jumps yields an unstable dynamics for the whole system. Also this needs to be investigated. In this talk we will provide results covering these situations and demonstrate some illustrative examples for them.

报告题目2：Interconnected systems with possibly unstable subsystems

报告人：Sergey Dashkovskiy，University of Würzburg

报告时间：2025年11月5日（周三）14:00-17:00

报告地点：20-200

报告摘要：Studding stability of interconnected systems it is usually assumed that each subsystem of the interconnection is stable in some sense. Then sufficient stability conditions, which usually restrict the intensity of the interactions between subsystems are derived to guarantee that the whole system is stable. For example small-gain type conditions are well-known in the literature. However it may happen, that an interconnection is stable even if one subsystem is unstable. Essentially new approaches are needed to investigate stability of this type of interconnections. We will provide an approach, which allows to handle this situation and demonstrate it advantages over the existing results.

报告人简介：Sergey Dashkovskiy received the M.Sc. degree in applied mathematics from the Lomonosov University of Moscow, Russia, in 1996, the Ph.D. degree in mathematics from the University of Jena, Germany, in 2002, and the Habilitation (venia legendi) degree in mathematics from the University of Bremen, Germany, in 2009. He held positions with the Arizona State University, Tempe, AZ, USA, the University of Bayreuth, Bayreuth, Germany, and the University of Applied Sciences Erfurt, Germany. Since 2016, he has been a Professor and the Head of the Research Group Dynamics and Control at Institute for Mathematics, University of Würzburg, Germany.

邀请人：钟杰