4 papers · 1 filter
Output tracking: an application for irrational SISO transfer functions and a survey for MIMO systems
Lucas Davron
In this paper we consider (MIMO) finite dimensional linear and time-invariant systems and irrational single-input single-output (SISO) transfer functions. In both cases our aim is…
Control and stabilization of cascade coupled systems: application to a 1-d heat and wave coupled system
Lucas Davron, Pierre Lissy, Swann Marx
We study cascade coupled systems, for which our prototypical example is a 1-d heat equation coupled with a 1-d wave equation. The heat component is controlled through one boundary…
Exact output tracking for the one-dimensional heat equation and applications to the interpolation problem in Gevrey classes of order 2
Lucas Davron, Pierre Lissy
This paper provides a complete characterization of the Dirichlet boundary outputs that can be exactly tracked in the one-dimensional heat equation with Neumann boundary control. Th…
On the control of LTI systems with rough control laws
Lucas Davron
The theory of linear time invariant systems is well established and allows, among other things, to formulate and solve control problems in finite time. In this context the control…