192 citations · 345 across the 38 of their papers we have counts for
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math.OC2024★ 1 cited
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…
math.OC2024
Input-to-state stability meets small-gain theory
Andrii Mironchenko
Input-to-state stability (ISS) unifies global asymptotic stability with respect to variations of initial conditions with robustness with respect to external disturbances. First, we…
math.OC2024
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…