Super-twisting sliding mode control for the stabilization of a linear hyperbolic system

Autor: Ismaila Balogoun, Swann Marx, Thibault Liard, Franck Plestan

This paper deals with the stabilization of a linear hyperbolic system subject to a boundary disturbance. Our feedback design relies on a super-twisting control algorithm, which leads to a feedback that is continuous with respect to the state, in cont

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4bd15cd593693c08adc68c63db15eefe
https://hal.univ-antilles.fr/hal-03616081/file/Super_twisting.pdf

Semi-algebraic approximation using Christoffel-Darboux kernel

Autor: Didier Henrion, Edouard Pauwels, Swann Marx, Tillmann Weisser, Jean B. Lasserre

Publikováno v: Constructive Approximation
Constructive Approximation, 2021, 54 (3), pp.391-429. ⟨10.1007/s00365-021-09535-4⟩
Constructive Approximation, Springer Verlag, 2021, 54 (3), pp.391-429. ⟨10.1007/s00365-021-09535-4⟩

International audience; We provide a new method to approximate a (possibly discontinuous) function using Christoffel-Darboux kernels. Our knowledge about the unknown multivariate function is in terms of finitely many moments of the Young measure supp

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::219ff0e236cd58484dfc1b67a5ac0eee
https://hal.science/hal-02085835v3/document

One-dimensional wave equation with set-valued boundary damping: well-posedness, asymptotic stability, and decay rates

Autor: Yacine Chitour, Swann Marx, Guilherme Mazanti

Publikováno v: ESAIM: Control, Optimisation and Calculus of Variations
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2021, 27, pp.84. ⟨10.1051/cocv/2021067⟩
ESAIM: Control, Optimisation and Calculus of Variations, 2021, 27, pp.84. ⟨10.1051/cocv/2021067⟩

This paper is concerned with the analysis of a one dimensional wave equation ztt − zxx = 0 on [0, 1] with a Dirichlet condition at x = 0 and a damping acting at x = 1 which takes the form (zt(t, 1), −zx(t, 1)) ∈ Σ for every t ≥ 0, where Σ i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c62520718c2b65e1d98e9ac356fc81c1
https://hal.archives-ouvertes.fr/hal-02463413v3/file/nonlinear-boundary-wave.pdf

Event-triggered damping of a linear wave equation

Autor: Sophie Tarbouriech, Swann Marx, Lucie Baudouin

Publikováno v: IFAC-PapersOnLine. 52:58-63

The paper addresses the design of an event-triggering mechanism for a partial differential wave equation posed in a bounded domain. The wave equation is supposed to be controlled through a classical damping term: the first order time derivative of th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dde2407ddd25b1d0b86a9a7064375b1e
https://doi.org/10.1016/j.ifacol.2019.08.011

Forwarding design for stabilization of a coupled transport equation-ODE with a cone-bounded input nonlinearity

Autor: Lucas Brivadis, Swann Marx, Daniele Astolfi

Publikováno v: 59th IEEE Conference on Decision and Control
59th IEEE Conference on Decision and Control, Dec 2020, Jeju Island, South Korea
HAL
CDC

International audience; We propose a new design technique for the stabilization of coupled ODE-PDE systems in feedforward form. In particular, we address the stabilization problem of a one-dimensional transport equation driven by a scalar ODE which i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::88b861c792fd3bdf1aaeb0d5aa6bb50e
https://hal.archives-ouvertes.fr/hal-02971503