5 citations · 9 across the 5 of their papers we have counts for
10 papers · 1 filter
ISS small-gain criteria for infinite networks with linear gain functions
Andrii Mironchenko, Navid Noroozi, Christoph Kawan +1
This paper provides a Lyapunov-based small-gain theorem for input-to-state stability (ISS) of networks composed of infinitely many finite-dimensional systems. We model these networ…
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…
Input-to-State Stability of Nonlinear Parabolic PDEs with Dirichlet Boundary Disturbances
Andrii Mironchenko, Iasson Karafyllis, Miroslav Krstic
We introduce a monotonicity-based method for studying input-to-state stability (ISS) of nonlinear parabolic equations with boundary inputs. We first show that a monotone control sy…