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math.OC2026
Global Extremum Seeking With Double Integrators in the Presence of Local Extrema
Raik Suttner, Christian Ebenbauer, Sergey Dashkovskiy
We study the problem of global extremum seeking in the presence of local extrema. We investigate two different perturbation-based methods: 1) a well-known classical extremum seekin…
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.OC2025
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…