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math.OC2026
From detectability of abstract linear systems to exponential output-to-state stability and back
Qiaoling Chen, Andrii Mironchenko, Fabian Wirth
We study exponential output-to-state stability (eOSS) of linear infinite-dimensional systems in Banach spaces with bounded output operators. It is shown that eOSS is equivalent to…
math.OC2026
Ensemble Feedback Methods for Families of Linear Systems
Michael Schönlein, Fabian Wirth
We consider feedback stabilization for one-parameter families of finite-dimensional linear systems over compact parameter sets in the complex field. Classical ensemble feedback ind…
math.OC2026
A superposition approach for the ISS Lyapunov-Krasovskii theorem with pointwise dissipation
Andrii Mironchenko, Fabian Wirth, Antoine Chaillet +1
We show that the existence of a Lyapunov-Krasovskii functional (LKF) with pointwise dissipation (i.e. dissipation in terms of the current solution norm) suffices for input-to-state…