The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Identifiability of uncontrolled nonlinear rational systems
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Relatively few techniques are available for structural identifiability analysis of nonlinear systems, and significant symbolic computational problems can arise even for relatively simple models.
“In comparison, there are relatively few techniques available for nonlinear systems, and significant (symbolic) computational problems can arise, even for relatively simple models.49, 50, 51”
Citations
Cites
Nonlinear controllability and observability
Hermann, R., & Krener, A. (1977) · IEEE Transactions on Automatic Control · doi:10.1109/tac.1977.1101601 · Cited by 2,374 · cited 2×
“In this section an observability condition, which coincides with that given in Hermann and Krener (1977) in the case of the absence of control inputs, will be used to establish the existence of a map connecting the state trajectories corresponding to local-time indistinguishable parameter vectors.”
BackgroundMethodSontag, E. D. (1998) · Texts in applied mathematics · doi:10.1007/978-1-4612-0577-7 · Cited by 1,339
Bellman, R., & Åström, K. J. (1970) · Mathematical Biosciences · doi:10.1016/0025-5564(70)90132-x · Cited by 871
System identifiability based on the power series expansion of the solution
Pohjanpalo, H. (1978) · Mathematical Biosciences · doi:10.1016/0025-5564(78)90063-9 · Cited by 440
Holmberg, A. (1982) · Mathematical Biosciences · doi:10.1016/0025-5564(82)90061-x · Cited by 293
Identifiability of State Space Models
Walter, E. (1982) · Lecture notes in biomathematics · doi:10.1007/978-3-642-61823-9 · Cited by 281
Similarity transformation approach to identifiability analysis of nonlinear compartmental models
Vajda, S., Godfrey, K. R., & RABITZ, H. A. (1989) · Mathematical Biosciences · doi:10.1016/0025-5564(89)90024-2 · Cited by 227
Self-citationIdentifiability of Model Parameter
Godfrey, K. R., & DiStefano, J. J. (1985) · IFAC Proceedings Volumes · doi:10.1016/s1474-6670(17)60544-5 · Cited by 170
Self-citationChappell, M. J., Godfrey, K. R., & Vajda, S. (1990) · Mathematical Biosciences · doi:10.1016/0025-5564(90)90055-4 · Cited by 138
Self-citationUnidentifiable compartmental models: what to do?
Walter, E., & Lecourtier, Y. (1981) · Mathematical Biosciences · doi:10.1016/0025-5564(81)90025-0 · Cited by 107
Margaria, G., Riccomagno, E., Chappell, M. J., & Wynn, H. P. (2001) · Mathematical Biosciences · doi:10.1016/s0025-5564(01)00079-7 · Cited by 102
Self-citationIDENTIFIABILITY OF MODEL PARAMETERS
Godfrey, K. R., & DiStefano, J. J. (1987) · Elsevier eBooks · doi:10.1016/b978-0-08-034929-9.50005-4 · Cited by 64
Self-citationSome Remarks about an Identifiability Result of Nonlinear Systems
Joly-Blanchard, G., & Denis-Vidal, L. (1998) · Automatica · doi:10.1016/s0005-1098(98)00055-7 · Cited by 25
Structural Identifiability of Nonlinear Systems: Application to a Batch Reactor
Chappell, M. J., & Godfrey, K. R. (1991) · IFAC Proceedings Volumes · doi:10.1016/s1474-6670(17)52458-1 · Cited by 4
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Characterising performance of environmental models
Bennett, N. D., Croke, B. F. W., Guariso, G., Guillaume, J. H. A., Hamilton, S. H., Jakeman, A. J., Marsili-Libelli, S., Newham, L. T. H., Norton, J. P., Perrin, C., et al. (2013) · Environmental Modelling & Software · doi:10.1016/j.envsoft.2012.09.011 · Cited by 1,536
Systems biology: parameter estimation for biochemical models
Ashyraliyev, M., Fomekong‐Nanfack, Y., Kaandorp, J. A., & Blom, J. G. (2009) · The FEBS Journal · doi:10.1111/j.1742-4658.2008.06844.x · Cited by 323
Cucurull‐Sanchez, L., Chappell, M. J., Chelliah, V., Amy Cheung, S. Y., Derks, G., Penney, M., Phipps, A., Malik‐Sheriff, R. S., Timmis, J., Tindall, M. J., et al. (2019) · CPT: Pharmacometrics & Systems Pharmacology · doi:10.1002/psp4.12381 · Cited by 61
Self-citationStructural identifiability analysis via symmetries of differential equations
Yates, J. W. T., Evans, N. D., & Chappell, M. J. (2009) · Automatica · doi:10.1016/j.automatica.2009.07.009 · Cited by 37
Self-citationChapman, M. J., Godfrey, K. R., Chappell, M. J., & Evans, N. D. (2003) · Mathematical Biosciences · doi:10.1016/s0025-5564(02)00223-7 · Cited by 36
Self-citationStructural identifiability of polynomial and rational systems
Němcová, J. (2010) · Mathematical Biosciences · doi:10.1016/j.mbs.2009.11.002 · Cited by 31
Evans, N. D., Moyse, H. A. J., Lowe, D., Briggs, D., Higgins, R., Mitchell, D., Zehnder, D., & Chappell, M. J. (2013) · Automatica · doi:10.1016/j.automatica.2012.09.015 · Cited by 24
Self-citationWhite, L. J., Evans, N. D., Lam, T. J. G. M., Schukken, Y. H., Medley, G. F., Godfrey, K. R., & Chappell, M. J. (2001) · Mathematical Biosciences · doi:10.1016/s0025-5564(01)00080-3 · Cited by 21
Self-citationPreston, S. P., Wilkinson, R. D., Clayton, R. H., Chappell, M. J., & Mirams, G. R. (2025) · Current Opinion in Systems Biology · doi:10.1016/j.coisb.2025.100563 · Cited by 11
“…structural identifiability of nonlinear systems include: the Taylor series approach (Pohjanpalo, 1978), similarity transformation-based approaches (Evans et al., 2002), differential algebra techniques (Ljung and Glad, 1994; Saccomani et al., 2003; Margaria et al., 2001), the observable normal…”
Self-citation
Metadata
- Authors
- Evans, N. D., Chapman, M. J., Chappell, M. J., & Godfrey, K. R.
- Affiliations
- University of Warwick (GB)
- Coventry University (GB)
- Corresponding author
- Godfrey, K.R.
- Venue
- Automatica
- Publisher
- Elsevier BV
- Published
- 2002-10
- Volume
- 38
- Issue
- 10
- Pages
- 1799-1805
- ISSN
- 0005-1098 (ISSN-L)
- OpenAlex
- W2034705329
- Cited by
- 75
- References
- 14
- Citations by year
- 2025: 1 · 2024: 1 · 2022: 2 · 2021: 4 · 2020: 5 · 2019: 4 · 2018: 5 · 2017: 1 · 2015: 1 · 2014: 1 · 2013: 3 · 2012: 4
- FWCI
- 8.44
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Automatica (publishedVersion)
- Funders
- Research Councils UK
- Engineering and Physical Sciences Research Council
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
- Physical Sciences › Engineering › Control and Systems Engineering › Control and Stability of Dynamical Systems
- Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
- Keywords
- identifiability, state trajectories, parameter identifiability
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