Motion planning and control of a boundary controlled quasilinear parabolic partial
differential equation in one spatial variable is considered. The approach relies on a flatness …

We derive in a direct and rather straightforward way the null controllability of the N-
dimensional heat equation in a bounded cylinder with boundary control at one end of the …

We consider linear one-dimensional parabolic equations with space dependent coefficients
that are only measurable and that may be degenerate or singular. Considering generalized …

We are interested in the determination of the reachable states for the boundary control of the
1D heat equation. We consider either one or two boundary controls. We show that reachable …

Diese Einschränkungen können durch die in der Dissertation vorgeschlagene Verwendung
formaler Potenzreihen (FPS) in Kombination mit geeigneten Summierbarkeitsmethoden …

Motion planning and open loop boundary control schemes for linear spatially one
dimensional distributed parameter systems with lumped control are discussed. Using …

This paper is devoted to the study of the flatness property of linear time-invariant fractional
systems. In the framework of polynomial matrices of the fractional derivative operator, we …

Les études menées permettent de prendre en main un système depuis l'identification
jusqu'à la commande robuste des systèmes non entiers. Les principes de la platitude …

Computing analytic B\'ezout identities remains a difficult task, which has many applications
in control theory. Flat PDE systems have cast a new light on this problem. We consider here …

This paper considers a flatness-based boundary control of a hub-beam system with tip
payload moving in a vertical plane in the presence of gravity. The homogeneous flexible …