Revisiting Lyapunov-Krasovskii methodology for robust stability analysis of time-delay systems
翱苍濒颈苍别听滨厂厂听厂别尘颈苍补谤
3rd Online Seminar on Input-to-State Stability and its Applications
Speaker:聽聽聽聽 Andrii Mironchenko (University of Klagenfurt, Austria)
Meeting-ID: 695 5356 7239
Password: 204161
Abstract:
Lyapunov-Krasovskii functionals are a classical tool to study asymptotic stability and input-to-state stability (ISS) of time-delay systems. However, in the聽ISS聽context, the requirements on the Lyapunov-Krasovskii functionals are much stronger than those used for analysis of asymptotic stability. In this talk, we show a Lyapunov-Krasovskii theorem for聽ISS聽of time-delay systems. This theorem is valid for systems with mild regularity of the right-hand side and imposes fewer requirements on the Lyapunov-Krasovskii functional than the known results. Finally, we derive a stronger property than classical聽ISS. To prove this result, we introduce a new stability formalism for delay systems with inputs and establish the聽ISS聽superposition theorem specifically tailored for
time-delay systems.
叠颈辞驳谤补辫丑测:听听
Andrii Mironchenko was born in 1986 in Odesa, Ukraine. He received a Ph.D. degree in mathematics from the University of Bremen, Germany, and a habilitation degree from the University of Passau, Germany. He was a Postdoctoral Fellow of the Japan Society for Promotion of Science (2013鈥�2014). Since 2023, he has been with the Department of Mathematics, University of Klagenfurt, Austria.聽Dr. Mironchenko is the author of the monograph 鈥濱nput-to-State Stability鈥� (Springer, 2023) and of 70 journal and conference papers on control theory and applied mathematics. A.
Mironchenko is an Associate Editor in Systems & Control Letters and is a co-founder and co-organizer of the biennial Workshop series 鈥淪tability and Control of Infinite-Dimensional Systems鈥� (SCINDIS, 2016 - now). He is a Senior Member of IEEE. He is a recipient of 2023 IEEE CSS George S. Axelby Outstanding Paper Award.聽His research interests include stability theory, nonlinear
systems theory, distributed parameter systems, hybrid systems, and applications of control theory to biological systems and distributed control.
