4 papers
A Spectral Exponential Stability Criterion for Integral Difference Equations and Delay Differential Equations in various state spaces
Adam Braun, Jean Auriol, Lucas Brivadis
It is well-known that the exponential stability of Integral Difference Equations and Delay Difference Equations, in the usual state space of continuous functions, is equivalent to…
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…
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…