most citedCoercive quadratic converse ISS Lyapunov theorems for linear analytic systems

3 citations · 3 across the 3 of their papers we have counts for

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11 papers

math.OC20263 cited

Coercive quadratic converse ISS Lyapunov theorems for linear analytic systems

Andrii Mironchenko, Felix Schwenninger

We derive converse Lyapunov theorems for input-to-state stability (ISS) of linear infinite-dimensional analytic systems. While we show that ISS in general does not imply the existe…

eess.SY2026

Data-Driven Stabilizing Controller Design for Linear Infinite Networks

Mahdieh Zaker, Andrii Mironchenko, Amy Nejati +1

We propose a direct data-driven method for controller synthesis of infinite networks composed of unknown linear time-invariant subsystems. Using a single set of noise-corrupted inp…

math.OC2026

Input-to-state stability in integral norms for linear infinite-dimensional systems

Sahiba Arora, Andrii Mironchenko

We study integral-to-integral input-to-state stability for infinite-dimensional linear systems with inputs and trajectories in -spaces. We start by developing the correspondin…

eess.SY2026

Data-Driven Global Stabilization of Unknown Infinite Networks

Mahdieh Zaker, Andrii Mironchenko, Amy Nejati +1

This paper develops a direct data-driven framework for infinite networks with unknown nonlinear polynomial subsystems, enabling the synthesis of controllers that ensure the entire…

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…

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…