Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Thibault Liard"'
Autor:
Thibault Liard, Enrique Zuazua
Publikováno v:
IEEE Transactions on Automatic Control. 67:3098-3104
In this paper, we study the problem of identification for the one-dimensional Burgers equation. This problem consists in identifying the set of initial data evolving to a given target at a final time. Due to the property of non-backward uniqueness of
Autor:
Thibault Liard, Benedetto Piccoli
Publikováno v:
Communications in Mathematical Sciences. 19:919-945
Moving bottlenecks in road traffic represent an interesting mathematical problem, which can be modeled via coupled PDE-ODE systems. We consider the case of a scalar conservation law modeling the evolution of vehicular traffic and an ODE with disconti
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
https://hal.univ-antilles.fr/hal-03616081/file/Super_twisting.pdf
Publikováno v:
Automatica
Automatica, Elsevier, In press, 135
Automatica, Elsevier, In press, 135
International audience; This paper introduces a new sliding mode methodology for a system of two hyperbolic equations. The main difference with the existing literature is the definition of the sliding variable, given here by the gradient of a Lyapuno
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7fe4d804acc2abbe2caddd1c586e901f
https://hal.archives-ouvertes.fr/hal-03084995/document
https://hal.archives-ouvertes.fr/hal-03084995/document
Publikováno v:
IFAC WC 2020-21st IFAC World Congress
IFAC WC 2020-21st IFAC World Congress, Jul 2020, Berlin (virtual), Germany. pp.1-8, ⟨10.1016/j.ifacol.2020.12.1219⟩
IFAC WC 2020-21st IFAC World Congress, Jul 2020, Berlin (virtual), Germany. pp.1-8
IFAC WC 2020-21st IFAC World Congress, Jul 2020, Berlin (virtual), Germany. pp.1-8, ⟨10.1016/j.ifacol.2020.12.1219⟩
IFAC WC 2020-21st IFAC World Congress, Jul 2020, Berlin (virtual), Germany. pp.1-8
International audience; This article considers the possibility of using a small number of autonomous vehicles (AV) for traffic control of the predominantly human-piloted traffic. Specifically, we consider the control of the AV to act as a moving bott
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4271d40301e964ef65b0ffe6251ea927
https://hal.science/hal-02498038/document
https://hal.science/hal-02498038/document
Publikováno v:
Journal of Differential Equations. 264:2449-2494
In this article, we investigate a non-localization property of the eigenfunctions of Sturm–Liouville operators A a = − ∂ x x + a ( ⋅ ) Id with Dirichlet boundary conditions, where a ( ⋅ ) runs over the bounded nonnegative potential function
Publikováno v:
SIAM Journal on Applied Mathematics
SIAM Journal on Applied Mathematics, 2019, 75 (5), pp.1748-1767. ⟨10.1137/18M1217000⟩
SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2019, 75 (5), pp.1748-1767. ⟨10.1137/18M1217000⟩
SIAM Journal on Applied Mathematics, 2019, 75 (5), pp.1748-1767. ⟨10.1137/18M1217000⟩
SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2019, 75 (5), pp.1748-1767. ⟨10.1137/18M1217000⟩
We consider a partial differential equation - ordinary differential equation system to describe the dynamics of traffic flow with autonomous vehicles. In the model the bulk flow is represented by a...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e66b2ade05804fe07a17edc5f162b5f
https://inria.hal.science/hal-01882309/document
https://inria.hal.science/hal-01882309/document
Autor:
Jonathan Sprinkle, Benedetto Piccoli, Raphael Stern, Anaïs Rat, Thibault Liard, Rahul Bhadani, Daniel B. Work, Maria Laura Delle Monache, Benjamin Seibold
Publikováno v:
Computational Intelligence and Optimization Methods for Control Engineering
Computational Intelligence and Optimization Methods for Control Engineering, Springer, pp.275-299, 2019, ⟨10.1007/978-3-030-25446-9_12⟩
Computational Intelligence and Optimization Methods for Control Engineering ISBN: 9783030254452
Computational Intelligence and Optimization Methods for Control Engineering, Springer, pp.275-299, 2019, ⟨10.1007/978-3-030-25446-9_12⟩
Computational Intelligence and Optimization Methods for Control Engineering ISBN: 9783030254452
International audience; This article considers the problem of traffic control in which an autonomous vehicle is used to regulate human piloted traffic to dissipate stop and go traffic waves. We first investigate the controllability of well-known micr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::244ed2162bd345ff4835cc6da5302d4b
https://hal.inria.fr/hal-01930724/document
https://hal.inria.fr/hal-01930724/document
Autor:
Thibault Liard, Benedetto Piccoli
We consider a strongly coupled ODE-PDE system representing moving bottlenecks immersed in vehicular traffic. The PDE consists of a scalar conservation law modeling the traffic flow evolution and the ODE models the trajectory of a slow moving vehicle.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34dba2e18a5619929c7ab237d0c273a2
https://hal.archives-ouvertes.fr/hal-01684506/file/Transport117.pdf
https://hal.archives-ouvertes.fr/hal-01684506/file/Transport117.pdf