6 papers
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…
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…
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…
Lyapunov methods for input-to-state stability of time-varying evolution equations
Rahma Heni, Andrii Mironchenko, Fabian Wirth +2
We prove that (local) input-to-state stability ((L)ISS) and integral input-to-state stability (iISS) of time-varying infinite-dimensional systems in abstract spaces follows from th…
Forward completeness implies bounded reachable sets for time-delay systems on the state space of essentially bounded measurable functions
Lucas Brivadis, Antoine Chaillet, Andrii Mironchenko +1
We consider time-delay systems with a finite number of delays in the state space . In this framework, we show that forward completeness implies the boun…
For time-invariant delay systems, global asymptotic stability does not imply uniform global attractivity
Antoine Chaillet, Fabian Wirth, Andrii Mironchenko +1
Adapting a counterexample recently proposed by J.L. Mancilla-Aguilar and H. Haimovich, we show here that, for time-delay systems, global asymptotic stability does not ensure that s…