A Survey of the Hysteretic Duhem Model
Open accessIntegrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In control systems, hysteresis can result in oscillation, instability, and incorrect positioning.
“Therefore, in control systems, hysteresis can result in oscillation, instability, and incorrect positioning.”
From A comparative study on time-delay estimation for time-delay nonlinear system control (2025) · cites this paper as [27]
The hysteresis effect affects the precision of both closed-loop and open-loop control systems and leads to persistent oscillations.
“The hysteresis effect is widely acknowledged to affect the precision of both closed-loop and open-loop control systems and lead to persistent oscillations.”
From A comparative study on time-delay estimation for time-delay nonlinear system control (2025) · cites this paper as [27]
Cites
Garreau, G. A., & Rudin, W. (1987) · Journal of the Royal Statistical Society Series D (The Statistician) · doi:10.2307/2348852 · Cited by 10,941 · see citing works
Differential equations with discontinuous right hand sides
(1989) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(89)90171-7 · Cited by 4,889 · see citing works
Differential Equations with Discontinuous Righthand Sides
Filippov, A. F. (1988) · Mathematics and Its Applications · doi:10.1007/978-94-015-7793-9 · Cited by 4,720 · see citing works
A new model for control of systems with friction
de Wit, C. C., Olsson, H., Åström, K. J., & Lischinsky, P. (1995) · IEEE Transactions on Automatic Control · doi:10.1109/9.376053 · Cited by 3,692 · see citing works
Ordinary Differential Equations
Hartman, P. E. (2002) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898719222 · Cited by 3,472 · see citing works
�ber die magnetische Nachwirkung
Preisach, F. (1935) · The European Physical Journal A · doi:10.1007/bf01349418 · Cited by 1,998 · see citing works
Hysteresis and Phase Transitions
Brokate, M., & Sprekels, J. (1996) · Applied mathematical sciences · doi:10.1007/978-1-4612-4048-8 · Cited by 1,550 · see citing works
Differential Models of Hysteresis
Visintin, A. (1994) · Applied mathematical sciences · doi:10.1007/978-3-662-11557-2 · Cited by 1,356 · see citing works
Krasnosel’skii, M. A., & Pokrovskiǐ, A. V. (1989) · Springer eBooks · doi:10.1007/978-3-642-61302-9 · Cited by 1,162 · see citing works
The Non-Linear Field Theories of Mechanics
Truesdell, C. A., & Noll, W. (2004) · Springer eBooks · doi:10.1007/978-3-662-10388-3 · Cited by 923 · see citing works
The Hysteresis Bouc-Wen Model, a Survey
Ismail, M. A., Ikhouane, F., & Rodellar, J. (2009) · Archives of Computational Methods in Engineering · doi:10.1007/s11831-009-9031-8 · Cited by 746 · see citing works
Self-citationSolid Friction Damping of Mechanical Vibrations
Dahl, P. R. (1976) · AIAA Journal · doi:10.2514/3.61511 · Cited by 673 · see citing works
Measure, topology, and fractal geometry
Edgar, G. A. (1991) · Choice Reviews Online · doi:10.5860/choice.28-5119 · Cited by 648 · see citing works
A First Course in Sobolev Spaces
Leoni, G. (2017) · Graduate studies in mathematics · doi:10.1090/gsm/181 · Cited by 634 · see citing works
Revisiting the LuGre friction model
Johanastrom, K., & de Wit, C. C. (2008) · IEEE Control Systems · doi:10.1109/mcs.2008.929425 · Cited by 580 · see citing works
A survey on hysteresis modeling, identification and control
Hassani, V., Tjahjowidodo, T., & Do, T. N. (2014) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2014.04.012 · Cited by 521 · see citing works
Mathematical Models for Hysteresis
Macki, J. W., Nistri, P., & Zecca, P. (1993) · SIAM Review · doi:10.1137/1035005 · Cited by 498 · see citing works
Mathematical Models of Hysteresis
Mayergoyz, I. D. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.1518 · Cited by 411 · see citing works
A First Course in Sobolev Spaces
Leoni, G. (2009) · Graduate studies in mathematics · doi:10.1090/gsm/105 · Cited by 410 · see citing works
Mayergoyz, I. D., & Bertotti, G. (2005) · Cited by 374 · see citing works
Rayleigh, L. (1887) · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · doi:10.1080/14786448708628000 · Cited by 351 · see citing works
Measure, Topology, and Fractal Geometry
Edgar, G. A. (1990) · Undergraduate texts in mathematics · doi:10.1007/978-1-4757-4134-6 · Cited by 334 · see citing works
A general approach to hysteresis
Everett, D. H., & Whitton, W. I. (1952) · Transactions of the Faraday Society · doi:10.1039/tf9524800749 · Cited by 303 · see citing works
Semilinear Duhem model for rate-independent and rate-dependent hysteresis
Oh, J., & Bernstein, D. S. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.847035 · Cited by 273 · see citing works
A general approach to hysteresis. Part 4. An alternative formulation of the domain model
Everett, D. H. (1955) · Transactions of the Faraday Society · doi:10.1039/tf9555101551 · Cited by 250 · see citing works
Systems with Hysteresis: Analysis, Identification and Control Using the Bouc-Wen Model
Ikhouane, F., & Rodellar, J. (2007) · CERN Document Server (European Organization for Nuclear Research) · Cited by 245 · see citing works
Self-citationGoldfarb, M. T., & Čelanović, N. L. (1997) · Journal of Dynamic Systems Measurement and Control · doi:10.1115/1.2801282 · Cited by 235 · see citing works
Everett, D. H. (1954) · Transactions of the Faraday Society · doi:10.1039/tf9545001077 · Cited by 223 · see citing works
Ikhouane, F., & Rodellar, J. (2007) · Wiley eBooks · doi:10.1002/9780470513200 · Cited by 223 · see citing works
Self-citationA constitutive relation for rate-independent hysteresis in ferromagnetically soft materials
Coleman, B. D., & Hodgdon, M. L. (1986) · International Journal of Engineering Science · doi:10.1016/0020-7225(86)90023-6 · Cited by 200 · see citing works
A general approach to hysteresis. Part 2: Development of the domain theory
Everett, D. H., & Smith, F. W. (1954) · Transactions of the Faraday Society · doi:10.1039/tf9545000187 · Cited by 189 · see citing works
Applications of a theory of ferromagnetic hysteresis
Hodgdon, M. L. (1988) · IEEE Transactions on Magnetics · doi:10.1109/20.43893 · Cited by 185 · see citing works
Systems With Counterclockwise Input–Output Dynamics
Angeli, D. (2006) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2006.878747 · Cited by 114 · see citing works
Magnetic hysteresis and minor loops: models and experiments
Barker, J. A., Schreiber, D. E., Huth, B. G., et al. (1983) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1983.0035 · Cited by 93 · see citing works
Morris, K. (2011) · Applied Mechanics Reviews · doi:10.1115/1.4007112 · Cited by 88 · see citing works
Duhem modeling of friction-induced hysteresis
Padthe, A. K., Drinčić, B., Oh, J., Rizos, D. D., Fassois, S. D., & Bernstein, D. S. (2008) · IEEE Control Systems · doi:10.1109/mcs.2008.927331 · Cited by 85 · see citing works
Ewing, J. A. (1882) · Proceedings of the Royal Society of London · doi:10.1098/rspl.1881.0067 · Cited by 63 · see citing works
Nonlinear feedback models of hysteresis
Oh, J., Drinčić, B., & Bernstein, D. S. (2009) · IEEE Control Systems · doi:10.1109/mcs.2008.930919 · Cited by 59 · see citing works
A Linear Controller for Hysteretic Systems
Ikhouane, F., & Rodellar, J. (2006) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.863511 · Cited by 57 · see citing works
Self-citationStability of systems with the Duhem hysteresis operator: The dissipativity approach
Jayawardhana, B., Ouyang, R., & Andrieu, V. (2012) · Automatica · doi:10.1016/j.automatica.2012.06.069 · Cited by 56 · see citing works
Uneasy Genius: The Life and Work of Pierre Duhem.
Fullmer, J. Z., & Jaki, S. L. (1987) · The American Historical Review · doi:10.2307/1862849 · Cited by 50 · see citing works
A class of differential-delay systems with hysteresis: Asymptotic behaviour of solutions
Logemann, H., Ryan, E. P., & Shvartsman, I. A. (2007) · Nonlinear Analysis · doi:10.1016/j.na.2007.05.025 · Cited by 38 · see citing works
Counterclockwise Dynamics of a Rate-Independent Semilinear Duhem Model
Padthe, A. K., Oh, J., & Bernstein, D. S. (2006) · Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes · doi:10.1109/cdc.2005.1583456 · Cited by 34 · see citing works
Consistency of the Duhem Model with Hysteresis
Naser, M. F. M., & Ikhouane, F. (2013) · Mathematical Problems in Engineering · doi:10.1155/2013/586130 · Cited by 32 · see citing works
Self-citationANN and Non-Integer Order Modeling of ABS Solenoid Valves
Branciforte, M., Meli, A., Muscato, G., et al. (2010) · IEEE Transactions on Control Systems Technology · doi:10.1109/tcst.2010.2049999 · Cited by 28 · see citing works
Bernstein, D. S. (2007) · IEEE Control Systems · doi:10.1109/mcs.2007.903688 · Cited by 28 · see citing works
Characterization of hysteresis processes
Ikhouane, F. (2012) · Mathematics of Control Signals and Systems · doi:10.1007/s00498-012-0099-6 · Cited by 25 · see citing works
Self-citationOn the characterization of the Duhem hysteresis operator with clockwise input–output dynamics
Ouyang, R., Andrieu, V., & Jayawardhana, B. (2013) · Systems & Control Letters · doi:10.1016/j.sysconle.2012.11.022 · Cited by 24 · see citing works
Random response of integrable Duhem hysteretic systems under non-white excitation
Ni, Y., Ying, Z. G., Ko, J. M., et al. (2002) · International Journal of Non-Linear Mechanics · doi:10.1016/s0020-7462(02)00026-4 · Cited by 22 · see citing works
Mechanical Models of Friction That Exhibit Hysteresis, Stick-Slip, and the Stribeck Effect.
Drinčić, B. (2012) · Deep Blue (University of Michigan) · Cited by 16 · see citing works
Dissipativity of general Duhem hysteresis models
Jayawardhana, B., Ouyang, R., & Andrieu, V. (2011) · doi:10.1109/cdc.2011.6160799 · Cited by 16 · see citing works
Hamimid, M., Mimoune, S. M., Féliachi, M., et al. (2014) · Physica B Condensed Matter · doi:10.1016/j.physb.2014.06.021 · Cited by 16 · see citing works
Uneasy Genius: The Life And Work Of Pierre Duhem
Jaki, S. L. (1987) · Springer eBooks · doi:10.1007/978-94-009-3623-2 · Cited by 13 · see citing works
The non-linear theory of internal friction
Babuska, I. M. (1959) · Applications of Mathematics · doi:10.21136/am.1959.102671 · Cited by 9 · see citing works
Hysteretic Modeling of Shape Memory Alloy VibrationReduction Devices
Bernardini, D., & Vestroni, F. (2000) · Journal of Materials Processing & Manufacturing Science · doi:10.1106/x075-chtc-w9gr-tfh3 · Cited by 7 · see citing works
P.D.E.s with hysteresis 30 years later
Visintin, A. (2014) · Discrete and Continuous Dynamical Systems - S · doi:10.3934/dcdss.2015.8.793 · Cited by 6 · see citing works
Wiedemann, G. (1886) · The London Edinburgh and Dublin Philosophical Magazine and Journal of Science · doi:10.1080/14786448608627899 · Cited by 5 · see citing works
On Measurable Functions, Continuous Functions and Some Related Concepts
Yen, E. H., & van der Vaart, H. R. (1966) · American Mathematical Monthly · doi:10.2307/2314505 · Cited by 5 · see citing works
Loloee, R., Pence, T. J., & Grummon, D. S. (1995) · Journal de Physique IV (Proceedings) · doi:10.1051/jp4/199558545 · Cited by 3 · see citing works
Sur les déformations permanentes et l’hysteresis (Premier mémoire)
Duhem, P. (1896) · Mémoires couronnés et mémoires des savants étrangers publiés par l Académie royale des sciences des lettres et des beaux-arts de Bruxelles Collection in-4° · doi:10.3406/marb.1896.1854 · Cited by 3 · see citing works
Linear Analysis and Differential Equations
MacCamy, R. C., & Mizel, V. J. (1969) · CERN Document Server (European Organization for Nuclear Research) · Cited by 2 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
Time-Delay Estimation Improves Active Disturbance Rejection Control for Time-Delay Nonlinear Systems
Nahri, S. N. F., Du, S., van Wyk, B. J., & Nyasulu, T. D. (2024) · Machines · doi:10.3390/machines12080552 · Cited by 7 · see citing works
A comparative study on time-delay estimation for time-delay nonlinear system control
Nahri, S. N. F., Department of Electrical Engineering, F. O. E. A. T. B. E., Du, S., van Wyk, B. J., & Ajayi, O. K. (2025) · AIMS Electronics and Electrical Engineering · doi:10.3934/electreng.2025015 · Cited by 3 · see citing works
Fatima Nahri, S. N., Du, S., van Wyk, B. J., Kayode Ajayi, O., Nyasulu, T. D., & Yu, H. (2025) · 2025 33rd Southern African Universities Power Engineering Conference (SAUPEC) · doi:10.1109/saupec65723.2025.10944363 · Cited by 3 · see citing works
- Authors
- Ikhouane, F.
- Affiliations
- Universitat Politècnica de Catalunya (ES)
- Corresponding author
- Ikhouane, Fayçal
- ORCID
- Ikhouane, Fayçal
- Venue
- Archives of Computational Methods in Engineering
- Published
- 2017-03-29
- Volume
- 25
- Issue
- 4
- Pages
- 965-1002
- ISSN
- 1134-3060 (ISSN-L)
- 1886-1784
- OpenAlex
- W2601547440
- Cited by
- 66
- References
- 61
- Citations by year
- 2026: 8 · 2025: 6 · 2024: 20 · 2023: 5 · 2022: 6 · 2021: 8 · 2020: 9 · 2019: 4
- FWCI
- 2.23
- Type
- journal article
- Language
- en
- Update notices
- erratum (2017-08-08)
- Open access
- green
- hdl.handle.net
- Licence
- cc-by-nc-nd
- www.springer.com/tdm (tdm)
- Locations
- Archives of Computational Methods in Engineering (publishedVersion)
- LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) (acceptedVersion, cc-by-nc-nd)
- UPCommons institutional repository (Universitat Politècnica de Catalunya) (submittedVersion, cc-by-nc-nd)
- RECERCAT (Consorci de Serveis Universitaris de Catalunya) (submittedVersion, cc-by-nc-nd)
- Funders
- Spanish Ministry of Economy and Competitiveness (DPI2016-77407-P)
- Topics
- Physical Sciences › Engineering › Control and Systems Engineering › Dynamics and Control of Mechanical Systems
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Contact Mechanics and Variational Inequalities
- Physical Sciences › Engineering › Control and Systems Engineering › Control Systems and Identification
- Keywords
- Duhem model, hysteresis, thermodynamic irreversibility, Pierre Duhem, hysteresis modeling
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review