Title :
Nonlinear observability, identifiability, and persistent trajectories
Author :
Diop, Sette ; Fliess, Michel
Author_Institution :
Lab. d´´Autom. et de Genie de Procedes, CNRS-Univ. Claude Bernard, Villeurbanne, France
Abstract :
The concept of nonlinear observability and the theory of identifiability are discussed. The linear nature of the concept of observability is underlined. It is shown that a minimal realization should be defined only by its observability, which corroborates recent works on linear systems. This theory is applied to the related problem of identifiability. The concept of persistent trajectories is defined. Differential algebra is the main tool of this investigation
Keywords :
algebra; differential equations; identification; nonlinear systems; observability; algebraic differential equation; differential algebra; identifiability; nonlinear observability; persistent trajectories; Algebra; Differential algebraic equations; Differential equations; Linear systems; Nonlinear equations; Nonlinear systems; Observability; Physics; Polynomials; Topology;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261405