Title :
Young duality and Schmidt-pair for linear systems
Author :
Mourllion, Benjamin ; Birouche, A.
Author_Institution :
Univ. de Haute Alsace, Mulhouse, France
Abstract :
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.
Keywords :
duality (mathematics); linear systems; observability; reachability analysis; time-varying systems; Legendre transforms; Schmidt-pair; Young duality; energy functions; linear time-varying systems; observability; reachability; Controllability; Equations; Focusing; Observability; Time-varying systems; Transfer functions; Transforms;
Conference_Titel :
Control Conference (ECC), 2013 European
