Title :
Parameter identifiability of Nonlinear systems with time-delay
Author :
Zhang, J. ; Xia, X. ; Moog, C.H.
Author_Institution :
IRCCyN, Inst. de Recherche en Commun. et Cybernetique de Nantes, France
Abstract :
In this note, various parameter identifiability concepts for nonlinear systems with time-delay are defined, complete characterizations of these concepts as well as easily checkable criteria are provided. It is proved that geometric identifiability is equivalent to identifiability with known initial conditions, algebraic identifiability implies geometric identifiability. As for identifiability with partially known initial conditions, an easy characterization is also provided.
Keywords :
delays; identification; nonlinear control systems; set theory; geometric identifiability; nonlinear systems; parameter identifiability; time-delays; Africa; Control system synthesis; Delay; Linear systems; Nonlinear systems; Transfer functions; Identifiability; linear algebraic approach; nonlinear systems; time-delay;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.863497
