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An algebraic framework for linear identification
Open accessAbstract
A closed loop parametrical identification procedure for continuous-time constant linear systems is introduced. This approach which exhibits good robustness properties with respect to a large variety of additive perturbations is based on the following mathematical tools: (1) module theory; (2) differential algebra; (3) operational calculus. Several concrete case-studies with computer simulations demonstrate the efficiency of our on-line identification scheme.
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Fliess and Ramirez proposed a robust and fast algebraic identification technique to estimate time invariant linear systems without time delay.
“Fliess and Ramirez proposed a robust and fast algebraic identification technique to estimate time invariant linear systems without time delay [33].”
From Identification of nonlinear dynamical systems with time delay (2022) · cites this paper as [33]
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Research works printed but not linked: 29
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Cited by
Sorted by citations
Parameters estimation of systems with delayed and structured entries
Belkoura, L., Richard, J.-P., & Fliess, M. (2009) · Automatica · doi:10.1016/j.automatica.2008.12.026 · Cited by 111
Self-citationIdentification of nonlinear dynamical systems with time delay
Leylaz, G., Wang, S., & Sun, J.-Q. (2022) · International Journal of Dynamics and Control · doi:10.1007/s40435-021-00783-7 · Cited by 35
Metadata
- Authors
- Fliess, M., & Sira–Ramírez, H.
- Affiliations
- École Normale Supérieure Paris-Saclay (FR)
- ORCID
- Fliess, Michel
- Venue
- ESAIM: Control, Optimisation and Calculus of Variations
- Publisher
- EDP Sciences
- Published
- 2003-01
- Volume
- 9
- Pages
- 151-168
- ISSN
- 1262-3377 (ISSN-L)
- 1292-8119
- OpenAlex
- W2117969169
- Cited by
- 534
- References
- 0
- Citations by year
- 2026: 7 · 2025: 17 · 2024: 23 · 2023: 20 · 2022: 28 · 2021: 27 · 2020: 19 · 2019: 12 · 2018: 22 · 2017: 31 · 2016: 24 · 2015: 23 · 2014: 37 · 2013: 30 · 2012: 25
- FWCI
- 26.47
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- ESAIM Control Optimisation and Calculus of Variations (publishedVersion)
- Springer Link (Chiba Institute of Technology) (submittedVersion)
- French digital mathematics library (Numdam) (submittedVersion)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
- Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
- Physical Sciences › Mathematics › Applied Mathematics › Statistical and numerical algorithms
- Keywords
- linear system identification, closed-loop identification, parameter estimation, continuous-time linear systems, module theory, differential algebra, operational calculus, online identification
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