5 citations · 9 across the 5 of their papers we have counts for
14 papers
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 relaxed small-gain theorem for infinite networks
Navid Noroozi, Andrii Mironchenko, Fabian R. Wirth
Motivated by the scalability problem in large networks, we study stability of a network of infinitely many finite-dimensional subsystems. We develop a so-called relaxed small-gain…
Stability criteria for positive linear discrete-time systems
Jochen Glück, Andrii Mironchenko
We prove new characterisations of exponential stability for positive linear discrete-time systems in ordered Banach spaces, in terms of small-gain conditions. Such conditions have…
Small-gain theorem for stability, cooperative control and distributed observation of infinite networks
Navid Noroozi, Andrii Mironchenko, Christoph Kawan +1
Motivated by a paradigm shift towards a hyper-connected world, we develop a computationally tractable small-gain theorem for a network of infinitely many systems, termed as infinit…
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…