Zobrazeno 1 - 10
of 151
pro vyhledávání: '"Baudouin, Lucie"'
This article presents an analysis of the stabilization of a multidimensional partial differential wave equation under a well designed event-triggering mechanism that samples the boundary control input. The wave equation is set in a bounded domain and
Externí odkaz:
http://arxiv.org/abs/2303.00381
This paper aims at proposing a sufficient matrix inequality condition to carry out the global exponential stability of the wave equation under an event-triggering mechanism that updates a damping source term. The damping is distributed in the whole s
Externí odkaz:
http://arxiv.org/abs/2107.00292
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 first order time derivative term distributed in the whole dom
Externí odkaz:
http://arxiv.org/abs/1901.01009
This article concerns the nonlinear Korteweg-de Vries equation with boundary time-delay feedback. Under appropriate assumption on the coefficients of the feedbacks (delayed or not), we first prove that this nonlinear infinite dimensional system is we
Externí odkaz:
http://arxiv.org/abs/1711.09696
Publikováno v:
Automatica, Elsevier, 2019, 99, pp.195-202
As a first approach to the study of systems coupling finite and infinite dimensional natures, this article addresses the stability of a system of ordinary differential equations coupled with a classic heat equation using a Lyapunov functional techniq
Externí odkaz:
http://arxiv.org/abs/1707.07967
Publikováno v:
IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2018, pp.1 - 1
This paper considers the stability problem of a linear time invariant system in feedback with a string equation. A new Lyapunov functional candidate is proposed based on the use of augmented states which enriches and encompasses the classical Lyapuno
Externí odkaz:
http://arxiv.org/abs/1706.09151
Publikováno v:
In Journal of Differential Equations 25 February 2022 311:1-28
Publikováno v:
In IFAC PapersOnLine 2022 55(34):120-125
Autor:
Baudouin, Lucie
Les travaux rassemblés dans ce manuscrit d'habilitation portent sur quelques modèles d'équations aux dérivées partielles et se développent selon deux axes, l'un orienté vers des questions d'identifiabilité de paramètres, l'autre vers la comm
Externí odkaz:
http://tel.archives-ouvertes.fr/tel-01067485
http://tel.archives-ouvertes.fr/docs/01/06/74/85/PDF/BAUDOUIN_HDR.pdf
http://tel.archives-ouvertes.fr/docs/01/06/74/85/PDF/BAUDOUIN_HDR.pdf
This article develops the numerical and theoretical study of a reconstruction algorithm of a potential in a wave equation from boundary measurements, using a cost functional built on weighted energy terms coming from a Carleman estimate. More precise
Externí odkaz:
http://arxiv.org/abs/1610.07400