Young Duality and Schmidt-pair for Linear Systems

Benjamin Mourllion (1) , Abderazik Birouche (1)

1 MIPS - Modélisation, Intelligence, Processus et Système

This paper studies the concepts of reachability, observability, controllability and constructibility focusing on the principle of duality with time reversal. This work takes into account linear time-varying systems in continuous time. A discussion is proposed about the Legendre transforms of energy functions and the significance of Schmidt-pairs.

Domaines: Automatique / Robotique

Benjamin Mourllion, Abderazik Birouche. Young Duality and Schmidt-pair for Linear Systems. 13th European Control Conference, Jul 2013, Zurich, Switzerland. pp.1323-1328. ⟨hal-01085257⟩