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math.OC2025
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…
math.OC2025
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…
math.OC2025
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…