192 citations · 345 across the 38 of their papers we have counts for
5 papers · 1 filter
Noncoercive Lyapunov functions for input-to-state stability of infinite-dimensional systems
B. Jacob, A. Mironchenko, J. R. Partington +1
We consider an abstract class of infinite-dimensional dynamical systems with inputs. For this class, the significance of noncoercive Lyapunov functions is analyzed. It is shown tha…
A Lyapunov-based small-gain theorem for infinite networks
Christoph Kawan, Andrii Mironchenko, Abdalla Swikir +2
This paper presents a small-gain theorem for networks composed of a countably infinite number of finite-dimensional subsystems. Assuming that each subsystem is exponentially input-…
Input-to-state stability of infinite-dimensional systems: recent results and open questions
Andrii Mironchenko, Christophe Prieur
In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-state stability (ISS) for infinite-dimensional systems. This property allows estimating the…
Local stabilization of an unstable parabolic equation via saturated controls
Andrii Mironchenko, Christophe Prieur, Fabian Wirth
We derive a saturated feedback control, which locally stabilizes a linear reaction-diffusion equation. In contrast to most other works on this topic, we do not assume the Lyapunov…
Small gain theorems for general networks of heterogeneous infinite-dimensional systems
Andrii Mironchenko
We prove a small-gain theorem for interconnections of nonlinear heterogeneous input-to-state stable (ISS) control systems of a general nature, covering partial, delay and ordin…