2 papers
math.OC2026
Lyapunov characterization of boundedness of reachability sets for infinite-dimensional systems
Patrick Bachmann, Andrii Mironchenko
We prove a converse Lyapunov theorem for boundedness of reachability sets for a general class of control systems whose flow is Lipschitz continuous on compact intervals with respec…
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…