Identifiability of nonlinear systems with application to HIV/AIDS models
- 19 February 2003
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 48 (2), 330-336
- https://doi.org/10.1109/tac.2002.808494
Abstract
In this note, we investigate different concepts of nonlinear identifiability in the generic sense. We work in the linear algebraic framework. Necessary and sufficient conditions are found for geometrical identifiability, algebraic identifiability and identifiability with known initial conditions. Relationships between different concepts are characterized. Constructive procedures are worked out for both generic geometrical and algebraic identifiability of nonlinear systems. As an application of the theory developed, we study the identifiability properties of a four dimensional model of HIV/AIDS. The questions answered in this study include the minimal number of measurement of the variables for a complete determination of all parameters and the best period of time to make such measurements. This information will be useful in formulating guidelines for clinical practice.Keywords
This publication has 15 references indexed in Scilit:
- Estimation of HIV/AIDS parametersAutomatica, 2003
- Some effective approaches to check the identifiability of uncontrolled nonlinear systemsMathematics and Computers in Simulation, 2001
- Quantification of latent tissue reservoirs and total body viral load in HIV-1 infectionNature, 1997
- Rapid turnover of plasma virions and CD4 lymphocytes in HIV-1 infectionNature, 1995
- Viral dynamics in human immunodeficiency virus type 1 infectionNature, 1995
- On global identifiability for arbitrary model parametrizationsAutomatica, 1994
- Dynamics of HIV infection of CD4+ T cellsMathematical Biosciences, 1993
- New results for identifiability of nonlinear systemsIEEE Transactions on Automatic Control, 1987
- A note on the invertibility of nonlinear input-output differential systemsSystems & Control Letters, 1986
- Control of Nonlinear Systems Via Dynamic State-FeedbackPublished by Springer Science and Business Media LLC ,1986