Flachheit und Steuerbarkeit einer Klasse von Netzwerken ortlich verteilter Systeme (Flatness and controllability of a class of networks of distributed parameter systems)

Frank Woittennek (1) , Hugues Mounier (2)

1 RST - Institut für Regelungs- und Steuerungstheorie
2 L2S - Laboratoire des signaux et systèmes

The controllability of systems that are initially given by boundary coupled p.d.e. of second order is discussed. In the Laplace domain these systems may be described by linear equations over particular rings of entire functions. By means of a division algorithm it is shown that those rings are Bezout domains. This property is utilised in order to derive algebraic and trajectory related controllability results.

Domaines: Automatique / Robotique

Frank Woittennek, Hugues Mounier. Flachheit und Steuerbarkeit einer Klasse von Netzwerken ortlich verteilter Systeme (Flatness and controllability of a class of networks of distributed parameter systems). Automatisierungstechnik, 2010, 58, pp.139-150. ⟨hal-00526144⟩