82 citations · 104 across the 25 of their papers we have counts for
5 papers · 1 filter
Stabilization of a chain of 3 hyperbolic PDEs with 2 inputs in arbitrary position
Adam Braun, Jean Auriol, Lucas Brivadis
This paper addresses the stabilization of a chain of three coupled hyperbolic partial differential equations actuated by two control inputs applied at arbitrary nodes of the networ…
A Backstepping-KKL Observer for a Cascade of a Nonlinear ODE with a Heat Equation
Adam Braun, Lucas Brivadis, Jean Auriol
We propose an observer design for a cascaded system composed of an arbitrary nonlinear ordinary differential equation (ODE) with a 1D heat equation. The nonlinear output of the ODE…
Optimal Control of an Interconnected SDE -Parabolic PDE System
Gabriel Velho, Jean Auriol, Islam Boussaada +1
In this paper, we design a controller for an interconnected system where a linear Stochastic Differential Equation (SDE) is actuated through a linear parabolic heat equation. These…
Stabilization and Optimal Control of an Interconnected Hetero-directional Hyperbolic PDE-SDE System
Gabriel Velho, Jean Auriol, Islam Boussaada +1
In this paper, we design a controller for an interconnected system composed of a linear Stochastic Differential Equation (SDE) controlled through a linear hetero-directional hyperb…
Stabilization of a Chain of Three Hyperbolic PDEs using a Time-Delay Representation
Adam Braun, Jean Auriol, Lucas Brivadis
This paper addresses the stabilization of a chain system consisting of three hyperbolic Partial Differential Equations (PDEs). The system is reformulated into a pure transport syst…