Nonlinear observability, identifiability, and persistent trajectories

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...

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Bibliographic Details
Published inIEEE Decision and Control, 1991 pp. 714 - 719 vol.1
Main Authors Diop, S., Fliess, M.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1991
Subjects
Algebra
Differential algebraic equations
Differential equations
Linear systems
Nonlinear equations
Nonlinear systems
Observability
Physics
Polynomials
Topology
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ISBN0780304500
9780780304505
DOI10.1109/CDC.1991.261405

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Summary: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.< >
ISBN:0780304500
9780780304505
DOI:10.1109/CDC.1991.261405