Add to ORKGInternational audienceIn an open channel, a hydraulic jump is an abrupt transition between a torrential (super-critical) flow and a fluvial (subcritical) flow. In this article hydraulic jumps are represented by discontinuous shock solutions of hyperbolic Saint-Venant equations. Using a Lyapunov approach, we prove that we can stabilize the state of the system in $H^2$-norm as well as the hydraulic jump location, with simple feedback boundary controls and an arbitrary decay rate, by appropriately choosing the gains of the feedback boundary controls
Abstract. We address the issue of the exponential stability (in L2-norm) of the classical solutions ...
We present a study of hydraulic jumps with flow predominantly in one direction, created either by co...
International audienceBecause they represent physical systems with propagation delays, hyperbolic sy...
In an open channel, a hydraulic jump is an abrupt transition between a torrential (supercritical) fl...
This article deals with the regulation of water flow in open-channels modelled by Saint-Venant equat...
We study the exponential stability for the C1 norm of general 2 × 2 1-D quasilinear hyperbolic syste...
We present a strict Lyapunov function for hyperbolic systems of conservation laws that can be diagon...
The stability problem of a system of conservation laws perturbed by non-homogeneous terms is investi...
We address the issue of the exponential stability (in L-2-norm) of the classical solutions of the li...
The use of control Lyapunov function for the derivation of stabilizing control laws for non-linear f...
This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic ...
The classical problem of the hydraulic jump in diverging channels is revisited and reformulated, in ...
A simple theoretical criterion to predict stability of a stationary hydraulic jump in a rectangular ...
Abstract The stability problem of a system of conservation laws perturbed by non-homogeneous terms i...
International audienceA conservative hyperbolic two-parameter model of shear shallow-water flows is ...
Abstract. We address the issue of the exponential stability (in L2-norm) of the classical solutions ...
We present a study of hydraulic jumps with flow predominantly in one direction, created either by co...
International audienceBecause they represent physical systems with propagation delays, hyperbolic sy...
In an open channel, a hydraulic jump is an abrupt transition between a torrential (supercritical) fl...
This article deals with the regulation of water flow in open-channels modelled by Saint-Venant equat...
We study the exponential stability for the C1 norm of general 2 × 2 1-D quasilinear hyperbolic syste...
We present a strict Lyapunov function for hyperbolic systems of conservation laws that can be diagon...
The stability problem of a system of conservation laws perturbed by non-homogeneous terms is investi...
We address the issue of the exponential stability (in L-2-norm) of the classical solutions of the li...
The use of control Lyapunov function for the derivation of stabilizing control laws for non-linear f...
This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic ...
The classical problem of the hydraulic jump in diverging channels is revisited and reformulated, in ...
A simple theoretical criterion to predict stability of a stationary hydraulic jump in a rectangular ...
Abstract The stability problem of a system of conservation laws perturbed by non-homogeneous terms i...
International audienceA conservative hyperbolic two-parameter model of shear shallow-water flows is ...
Abstract. We address the issue of the exponential stability (in L2-norm) of the classical solutions ...
We present a study of hydraulic jumps with flow predominantly in one direction, created either by co...
International audienceBecause they represent physical systems with propagation delays, hyperbolic sy...