State Isomorphism Approach to Global Identifiability of Nonlinear Systems

S. Vajda; H. Rabitz

doi:10.1109/9.21105

State Isomorphism Approach to Global Identifiability of Nonlinear Systems

S. Vajda, H. Rabitz

Research output: Contribution to journal › Article › peer-review

46 Scopus citations

Abstract

Global deterministic identifiability of nonlinear systems is studied by constructing the family of local state isomorphisms that preserve the structure of the parametric system. The method is simplified for homogeneous systems, where such isomorphisms are shown to be linear, thereby reducing the identifiability problem to solving a set of algebraic equations. The known conditions for global identifiability in linear and bilinear systems are special cases of these results.

Original language	English (US)
Pages (from-to)	220-223
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	34
Issue number	2
DOIs	https://doi.org/10.1109/9.21105
State	Published - Feb 1989

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/9.21105

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abstract = "Global deterministic identifiability of nonlinear systems is studied by constructing the family of local state isomorphisms that preserve the structure of the parametric system. The method is simplified for homogeneous systems, where such isomorphisms are shown to be linear, thereby reducing the identifiability problem to solving a set of algebraic equations. The known conditions for global identifiability in linear and bilinear systems are special cases of these results.",

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AB - Global deterministic identifiability of nonlinear systems is studied by constructing the family of local state isomorphisms that preserve the structure of the parametric system. The method is simplified for homogeneous systems, where such isomorphisms are shown to be linear, thereby reducing the identifiability problem to solving a set of algebraic equations. The known conditions for global identifiability in linear and bilinear systems are special cases of these results.

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State Isomorphism Approach to Global Identifiability of Nonlinear Systems

Abstract

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