Input-to-state stability of infinite-dimensional systems: recent results and open questions
A Mironchenko, C Prieur - SIAM Review, 2020 - SIAM
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 for the estimation of …
state stability (ISS) for infinite-dimensional systems. This property allows for the estimation of …
Input-to-state stability
A Mironchenko - Input-to-State Stability: Theory and Applications, 2023 - Springer
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Noncoercive Lyapunov functions for input-to-state stability of infinite-dimensional systems
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 that the …
class the significance of noncoercive Lyapunov functions is analyzed. It is shown that the …
Boundary stabilization of 1D hyperbolic systems
A Hayat - Annual Reviews in Control, 2021 - Elsevier
Hyperbolic systems model the phenomena of propagations at finite speeds. They are
present in many fields of science and, consequently, in many human applications. For these …
present in many fields of science and, consequently, in many human applications. For these …
Input-to-state stability in sup norms for hyperbolic systems with boundary disturbances
We give sufficient conditions for local Input-to-State Stability in C 1 norm of general
quasilinear hyperbolic systems with boundary input disturbances. In particular the derivation …
quasilinear hyperbolic systems with boundary input disturbances. In particular the derivation …
Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances
J Schmid, H Zwart - ESAIM: Control, Optimisation and Calculus of …, 2021 - esaim-cocv.org
In this paper, we are concerned with the stabilization of linear port-Hamiltonian systems of
arbitrary order N∈ ℕ on a bounded 1-dimensional spatial domain (a, b). In order to achieve …
arbitrary order N∈ ℕ on a bounded 1-dimensional spatial domain (a, b). In order to achieve …
Noise-to-state practical stability and stabilization of random neural networks
This paper is devoted to studying noise-to-state practical stability and stabilization problems
for random neural networks in the presence of general disturbances. It is proved that the …
for random neural networks in the presence of general disturbances. It is proved that the …
On Input-to-State Practical h-Stability for Nonlinear Time-Varying Systems
In this paper, we introduce a new concept of input-to-state practical h-stability (h-ISpS) and
integral input-to-state practical h-stability (h-iISpS) for nonlinear time-varying systems …
integral input-to-state practical h-stability (h-iISpS) for nonlinear time-varying systems …
Input-to-state practical stability criteria of non-autonomous infinite-dimensional systems
We develop tools for the investigation of input-to-state practical stability (ISpS) and integral
input-to-state practical stability (iISpS) of non-autonomous infinite-dimensional systems in …
input-to-state practical stability (iISpS) of non-autonomous infinite-dimensional systems in …
Backstepping Design for Incremental Input-to-State Stabilization of Unknown Systems
Incremental stability of dynamical systems ensures the convergence of trajectories from
different initial conditions towards each other rather than a fixed trajectory or equilibrium …
different initial conditions towards each other rather than a fixed trajectory or equilibrium …