192 citations · 345 across the 38 of their papers we have counts for
33 papers · 1 filter
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…
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…
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…
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…
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…
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…
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…
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…
Noncoercive Lyapunov functions for input-to-state stability of infinite-dimensional systems
B. Jacob, A. Mironchenko, J. R. Partington +1
We consider an abstract class of infinite-dimensional dynamical systems with inputs. For this class, the significance of noncoercive Lyapunov functions is analyzed. It is shown tha…
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…