32 citations · 108 across the 12 of their papers we have counts for
4 papers · 1 filter
Frequency domain approach for the stability analysis of a fast hyperbolic PDE coupled with a slow ODE
Gonzalo Arias, Swann Marx, Guilherme Mazanti
This paper deals with the exponential stability of systems made of a hyperbolic PDE coupled with an ODE with different time scales, the dynamics of the PDE being much faster than t…
One-dimensional wave equation with set-valued boundary damping: well-posedness, asymptotic stability, and decay rates
Yacine Chitour, Swann Marx, Guilherme Mazanti
This paper is concerned with the analysis of a one dimensional wave equation on with a Dirichlet condition at and a damping acting at which ta…
Stability of non-autonomous difference equations with applications to transport and wave propagation on networks
Yacine Chitour, Guilherme Mazanti, Mario Sigalotti
In this paper, we address the stability of transport systems and wave propagation on networks with time-varying parameters. We do so by reformulating these systems as non-autonomou…
Persistently damped transport on a network of circles
Yacine Chitour, Guilherme Mazanti, Mario Sigalotti
In this paper we address the exponential stability of a system of transport equations with intermittent damping on a network of circles intersecting at a single point $O…