3 papers
math.OC2026
Non-Local Extremum Seeking Based on the Divergence Theorem
Raik Suttner, Christian Ebenbauer, Sergey Dashkovskiy
We propose a new design strategy for extremum seeking control for a multi-dimensional single-integrator system in the presence of local extrema. The proposed method employs suitabl…
math.DS2025
Integral gains for non-autonomous Wazewski systems
Ivan Atamas, Sergey Dashkovskiy, Vitalii Slynko
In this work we consider linear non-autonomous systems of Wazewski type on Hilbert spaces and provide a new approach to study their stability properties by means of a decomposition…
math.OC2024
Characterization of input-to-output stability for infinite-dimensional systems
Patrick Bachmann, Sergey Dashkovskiy, Andrii Mironchenko
We prove a superposition theorem for input-to-output stability (IOS) of a broad class of nonlinear infinite-dimensional systems with outputs including both continuous-time and disc…