192 citations · 345 across the 38 of their papers we have counts for
49 papers
From detectability of abstract linear systems to exponential output-to-state stability and back
Qiaoling Chen, Andrii Mironchenko, Fabian Wirth
We study exponential output-to-state stability (eOSS) of linear infinite-dimensional systems in Banach spaces with bounded output operators. It is shown that eOSS is equivalent to…
Data-Driven Stabilizing Controller Design for Linear Infinite Networks
Mahdieh Zaker, Andrii Mironchenko, Amy Nejati +1
We propose a direct data-driven method for controller synthesis of infinite networks composed of unknown linear time-invariant subsystems. Using a single set of noise-corrupted inp…
Data-Driven Global Stabilization of Unknown Infinite Networks
Mahdieh Zaker, Andrii Mironchenko, Amy Nejati +1
This paper develops a direct data-driven framework for infinite networks with unknown nonlinear polynomial subsystems, enabling the synthesis of controllers that ensure the entire…
A superposition approach for the ISS Lyapunov-Krasovskii theorem with pointwise dissipation
Andrii Mironchenko, Fabian Wirth, Antoine Chaillet +1
We show that the existence of a Lyapunov-Krasovskii functional (LKF) with pointwise dissipation (i.e. dissipation in terms of the current solution norm) suffices for input-to-state…
Lyapunov characterization of boundedness of reachability sets for infinite-dimensional systems
Patrick Bachmann, Andrii Mironchenko
We prove a converse Lyapunov theorem for boundedness of reachability sets for a general class of control systems whose flow is Lipschitz continuous on compact intervals with respec…
Lyapunov methods for input-to-state stability of time-varying evolution equations
Rahma Heni, Andrii Mironchenko, Fabian Wirth +2
We prove that (local) input-to-state stability ((L)ISS) and integral input-to-state stability (iISS) of time-varying infinite-dimensional systems in abstract spaces follows from th…
Sampled-data and event-triggered control of globally Lipschitz infinite-dimensional systems
Rami Katz, Andrii Mironchenko
We show that if a linear infinite-dimensional system is exponentially stabilizable by compact feedback, it is also stabilizable by means of a sampled-data feedback that is fed thro…
Modeling and stability analysis of live systems with time-varying dimension
Andrii Mironchenko
A major limitation of the classical control theory is the assumption that the state space and its dimension do not change with time. This prevents analyzing and even formalizing th…
Input-to-state stability in integral norms for linear infinite-dimensional systems
Sahiba Arora, Andrii Mironchenko
We study integral-to-integral input-to-state stability for infinite-dimensional linear systems with inputs and trajectories in -spaces. We start by developing the correspondin…
Characterization of input-to-output stability for infinite-dimensional systems
Patrick Bachmann, Sergey Dashkovskiy, Andrii Mironchenko
We prove a superposition theorem for input-to-output stability (IOS) of a broad class of nonlinear infinite-dimensional systems with outputs including both continuous-time and disc…
Input-to-state stability meets small-gain theory
Andrii Mironchenko
Input-to-state stability (ISS) unifies global asymptotic stability with respect to variations of initial conditions with robustness with respect to external disturbances. First, we…
Input-to-state stability of infinite-dimensional systems: Foundations and present-day developments
Andrii Mironchenko, Christophe Prieur
Input-to-state stability (ISS) unifies the stability and robustness in one notion, and serves as a basis for broad areas of nonlinear control theory. In this contribution, we cover…
Forward completeness implies bounded reachable sets for time-delay systems on the state space of essentially bounded measurable functions
Lucas Brivadis, Antoine Chaillet, Andrii Mironchenko +1
We consider time-delay systems with a finite number of delays in the state space . In this framework, we show that forward completeness implies the boun…
For time-invariant delay systems, global asymptotic stability does not imply uniform global attractivity
Antoine Chaillet, Fabian Wirth, Andrii Mironchenko +1
Adapting a counterexample recently proposed by J.L. Mancilla-Aguilar and H. Haimovich, we show here that, for time-delay systems, global asymptotic stability does not ensure that s…
Coercive quadratic converse ISS Lyapunov theorems for linear analytic systems
Andrii Mironchenko, Felix Schwenninger
We derive converse Lyapunov theorems for input-to-state stability (ISS) of linear infinite-dimensional analytic systems. While we show that ISS in general does not imply the existe…
A case study of port-Hamiltonian systems with a moving interface
Alexander Kilian, Bernhard Maschke, Andrii Mironchenko +1
We model two systems of two conservation laws defined on complementary spatial intervals and coupled by a moving interface as a single non-autonomous port-Hamiltonian system, and p…
Input-to-state stability of distributed parameter systems
Andrii Mironchenko
Input-to-state stability (ISS) allows estimating the impact of inputs and initial conditions on both the intermediate values and the asymptotic bound on the solutions. ISS has unif…
Infinite-dimensional port-Hamiltonian systems with a stationary interface
Alexander Kilian, Bernhard Maschke, Andrii Mironchenko +1
We consider two systems of two conservation laws that are defined on complementary, one-dimensional spatial intervals and coupled by an interface as a single port-Hamiltonian syste…
Well-posedness and properties of the flow for semilinear evolution equations
Andrii Mironchenko
We derive conditions for well-posedness of semilinear evolution equations with unbounded input operators. Based on this, we provide sufficient conditions for such properties of the…
Stability criteria for positive semigroups on ordered Banach spaces
Jochen Glück, Andrii Mironchenko
We consider generators of positive -semigroups and, more generally, resolvent positive operators on ordered Banach spaces and seek for conditions ensuring the negativity o…
Lyapunov criteria for robust forward completeness of distributed parameter systems
Andrii Mironchenko
We show that the robust forward completeness for distributed parameter systems is equivalent to the existence of a corresponding Lyapunov function that increases at most exponentia…
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 ISS small-gain theorem for infinite networks of nonlinear systems
Christoph Kawan, Andrii Mironchenko, Majid Zamani
In this paper, we show that an infinite network of input-to-state stable (ISS) subsystems, admitting ISS Lyapunov functions, itself admits an ISS Lyapunov function, provided that t…
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…