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…
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…
Non-coercive Lyapunov functions for infinite-dimensional systems
Andrii Mironchenko, Fabian R. Wirth
We show that the existence of a non-coercive Lyapunov function is sufficient for uniform global asymptotic stability (UGAS) of infinite-dimensional systems with external disturbanc…
Construction of Lyapunov functions for interconnected parabolic systems: an iISS approach
Andrii Mironchenko, Hiroshi Ito
This paper is devoted to two issues. One is to provide Lyapunov-based tools to establish integral input-to-state stability (iISS) and input-to-state stability (ISS) for some classe…
Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions
Andrii Mironchenko, Hiroshi Ito
For bilinear infinite-dimensional dynamical systems, we show the equivalence between uniform global asymptotic stability and integral input-to-state stability. We provide two proof…
Input-to-state stability of nonlinear impulsive systems
Sergey Dashkovskiy, Andrii Mironchenko
We prove that impulsive systems, which possess an ISS Lyapunov function, are ISS for time sequences satisfying the fixed dwell-time condition. If an ISS Lyapunov function is the ex…
Stability of interconnected impulsive systems with and without time-delays using Lyapunov methods
Sergey Dashkovskiy, Michael Kosmykov, Andrii Mironchenko +1
In this paper we consider input-to-state stability (ISS) of impulsive control systems with and without time-delays. We prove that if the time-delay system possesses an exponential…