Preprints
L. Paunonen, D. Seifert and N. Vanspranghe, Admissibility theory in abstract Sobolev scales and transfer function growth at high frequencies , submitted, 2024.
L. Ma, N. Vanspranghe, D. Astolfi, V. Andrieu, M. Bajodek and X. Lou, Nested saturation proportional derivative control for conservative PDE-ODE interconnections: the gantry crane example , submitted, 2024.
L. Paunonen, N. Vanspranghe and R. P. T. Wang, Weakly elliptic damping gives sharp decay , submitted, 2024.
Journal articles
L. Paunonen, D. Seifert and N. Vanspranghe, A non-uniform Datko-Pazy theorem for bounded operator semigroups , Studia Mathematica , 280(2):193-203, 2025.
N. Vanspranghe and L. Brivadis, Output regulation of infinite-dimensional nonlinear systems: a forwarding approach for contraction semigroups , SIAM Journal on Control and Optimization , 61(4):2571-2594, 2023.
N. Vanspranghe, F. Ferrante and C. Prieur, Stabilization of the wave equation through nonlinear Dirichlet actuation , ESAIM: Control, Optimisation and Calculus of Variations , 29(57), 2023.
N. Vanspranghe, F. Ferrante and C. Prieur, Velocity stabilization of a wave equation with a nonlinear dynamic boundary condition , IEEE Transactions on Automatic Control , 67(12):6786–6793, 2022.
Conference papers
J. Kosonen, L. Paunonen and N. Vanspranghe, Polynomial stability of coupled waves with weak indirect damping , MTNS 2024, Cambridge, United Kingdom.
N. Vanspranghe, L. Brivadis and L. Paunonen, On forwarding techniques for stabilization and set-point output regulation of semilinear infinite-dimensional systems , IEEE Conference on Decision and Control, Singapore, 2023.
P. Lorenzetti, L. Paunonen, N. Vanspranghe and G. Weiss, Saturating integral control for infinite-dimensional linear systems , IEEE Conference on Decision and Control, Singapore, 2023.
N. Vanspranghe, Wave equation with hyperbolic boundary condition: a frequency domain approach, IFAC CPDE 2022 Workshop on Control of Systems Governed by Partial Differential Equations, Kiel, Germany.
N. Vanspranghe, F. Ferrante and C. Prieur, Stabilization of the wave equation by the mean of a saturating Dirichlet feedback , IFAC Conference on Modelling, Identification and Control of Nonlinear Systems, Tokyo, Japan, 2021.
N. Vanspranghe, F. Ferrante and C. Prieur, Control of a wave equation with a dynamic boundary condition , IEEE Conference on Decision and Control, Jeju Island, South Korea, 2020.
Theses
Talks
Relaxed admissibility and sharp transfer function estimates for ill-posed systems, Systems Theory (special session) International Workshop on Operator Theory and Applications , Canterbury, August 2024.
Frequency domain estimates for ill-posed systems and Neumann stabilization of the wave equation, AGENT Forum (Analysis, Geometry and Number Theory) , Jyväskylä, May 2024.
Different approaches to integral action in nonlinear infinite-dimensional dynamics, EDP, commande et observation des systèmes (invited talk), LAAS-CNRS, Toulouse, October 2023.
Non-uniform Datko-Pazy criteria and asymptotics of contraction semigroups, Operator Semigroups: Theory and Applications (special session), International Workshop on Operator Theory and Applications , Helsinki, August 2023.
Output regulation of nonlinear infinite-dimensional systems, Control and Optimization in PDEs (minisymposium), IFIP TC7 Conference on System Modeling and Optimisation, Warsaw, July 2022.
Output regulation for infinite-dimensional systems: a forwarding-based approach, Séminaire d’automatique du plateau de Saclay , Laboratoire des Signaux et Systèmes, CentraleSupélec, October 2021.
Saturated boundary stabilization of the wave equation in the Dirichlet boundary condition: asymptotic stability and non-uniform decay rates, DPS Online Seminar , April 2021.