192 citations · 345 across the 38 of their papers we have counts for
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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…
Non-uniform ISS small-gain theorem for infinite networks
Andrii Mironchenko
We introduce the concept of non-uniform input-to-state stability for networks. It combines the uniform global stability with the uniform attractivity of any subnetwork, while it al…
Nonlinear small-gain theorems for input-to-state stability of infinite interconnections
Andrii Mironchenko, Christoph Kawan, Jochen Glück
We consider infinite heterogeneous networks, consisting of input-to-state stable subsystems of possibly infinite dimension. We show that the network is input-to-state stable, provi…
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…