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Applicable Analysis
An International Journal
Volume 88, 2009 - Issue 1
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Original Articles

Parameter estimation for signals described by differential equations

Mamadou Mboup UFR de mathématiques et informatique–CRIP5 and EPI ALIEN, INRIA, Université Paris Descartes, Paris, FranceCorrespondence[email protected]
Pages 29-52 | Received 01 Feb 2008, Accepted 13 Oct 2008, Published online: 21 May 2009

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Amine Othmane, Lothar Kiltz & Joachim Rudolph. (2022) Survey on algebraic numerical differentiation: historical developments, parametrization, examples, and applications. International Journal of Systems Science 53:9, pages 1848-1887.
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Rosane Ushirobira. (2018) Algebraic differentiators through orthogonal polynomials series expansions. International Journal of Control 91:9, pages 2082-2089.
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Hossein Dastres, S. Mohammadreza Ebrahimi, Milad Malekzadeh & Francisco Gordillo. (2023) Robust adaptive parameter estimator design for a multi-sinusoidal signal with fixed-time stability and guaranteed prescribed performance boundary of estimation error. Journal of the Franklin Institute 360:1, pages 223-250.
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Mohammad Jahvani & Martin Guay. (2021) An Adaptive Filter for Parameter Estimation of Damped Sinusoidal Signals. IFAC-PapersOnLine 54:3, pages 354-359.
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Peng Li, Francesca Boem, Gilberto Pin & Thomas Parisini. (2020) Kernel-Based Simultaneous Parameter-State Estimation for Continuous-Time Systems. IEEE Transactions on Automatic Control 65:7, pages 3053-3059.
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Rosane Ushirobira, Anja Korporal & Wilfrid Perruquetti. 2020. Algebraic and Symbolic Computation Methods in Dynamical Systems. Algebraic and Symbolic Computation Methods in Dynamical Systems 183 200 .
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Boli Chen, Peng Li, Gilberto Pin, Giuseppe Fedele & Thomas Parisini. (2019) Finite-time estimation of multiple exponentially-damped sinusoidal signals: A kernel-based approach. Automatica 106, pages 1-7.
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Ying Xin, Zhi-Chang Qin & Jian-Qiao Sun. (2019) Input-output tracking control of a 2-DOF laboratory helicopter with improved algebraic differential estimation. Mechanical Systems and Signal Processing 116, pages 843-857.
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Josip Kasac, Tihomir Zilic, Vladimir Milic & Andrej Jokic. (2018) Frequency-shifting-based stable on-line algebraic parameter identification of linear systems. Journal of the Franklin Institute 355:18, pages 9224-9244.
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Peng Li, Francesca Boem, Gilberto Pin & Thomas Parisini. (2018) Deadbeat Simultaneous Parameter-State Estimation for Linear Continuous-time Systems: a Kernel-based Approach. Deadbeat Simultaneous Parameter-State Estimation for Linear Continuous-time Systems: a Kernel-based Approach.
Mamadou Mboup. (2017) A remark on sliding mode differentiation and calculus of variation. IFAC-PapersOnLine 50:1, pages 5144-5148.
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Peng Li, Francesca Boem, Gilberto Pin & Thomas Parisini. (2017) Distributed Fault Detection and Isolation for Interconnected Systems: a Non-Asymptotic Kernel-Based Approach. IFAC-PapersOnLine 50:1, pages 1013-1018.
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Sonia Maalej, Alexandre Kruszewski & Lotfi Belkoura. (2016) Robust Control for Continuous LPV System with Restricted-Model-Based Control. Circuits, Systems, and Signal Processing 36:6, pages 2499-2520.
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Rosane Ushirobira & Alban Quadrat. (2016) Algebraic estimation of a biased and noisy continuous signal via orthogonal polynomials. Algebraic estimation of a biased and noisy continuous signal via orthogonal polynomials.
Rosane Ushirobira, Wilfrid Perruquetti & Mamadou Mboup. (2016) An algebraic continuous time parameter estimation for a sum of sinusoidal waveform signals. International Journal of Adaptive Control and Signal Processing 30:12, pages 1689-1713.
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Nicole Gehring, Christian Stauch & Joachim Rudolph. (2016) Parameter identification, fault detection and localization for an electrical transmission line. Parameter identification, fault detection and localization for an electrical transmission line.
Peng Li, Giuseppe Fedele, Gilberto Pin & Thomas Parisini. (2016) Kernel-based deadbeat parametric estimation of bias-affected damped sinusoidal signals. Kernel-based deadbeat parametric estimation of bias-affected damped sinusoidal signals.
R. Morales, E. Segura, J.A. Somolinos, L.R. Núñez & H. Sira-Ramírez. (2016) Online signal filtering based on the algebraic method and its experimental validation. Mechanical Systems and Signal Processing 66-67, pages 374-387.
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Da-Yan Liu, Olivier Gibaru, Wilfrid Perruquetti & Taous-Meriem Laleg-Kirati. (2015) Fractional Order Differentiation by Integration and Error Analysis in Noisy Environment. IEEE Transactions on Automatic Control 60:11, pages 2945-2960.
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Da-Yan Liu & Taous-Meriem Laleg-Kirati. (2015) Robust fractional order differentiators using generalized modulating functions method. Signal Processing 107, pages 395-406.
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R. Delpoux & T. Floquet. (2015) On-line Parameter Estimation via Algebraic Method: An Experimental Illustration. Asian Journal of Control 17:1, pages 315-326.
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Romain Delpoux, Richard Bearee, Adel Olabi & Olivier Gibaru. (2014) Toward on-line robot vibratory modes estimation. Toward on-line robot vibratory modes estimation.
Lothar Kiltz, Cédric Join, Mamadou Mboup & Joachim Rudolph. (2014) Fault-tolerant control based on algebraic derivative estimation applied on a magnetically supported plate. Control Engineering Practice 26, pages 107-115.
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Sonia Maalej, Alexandre Kruszewski, Romain Delpoux & Lotfi Belkoura. (2014) Derivative based control for LPV system with unknown parameters: An application on a Permanent Magnet Synchronous Motors. Derivative based control for LPV system with unknown parameters: An application on a Permanent Magnet Synchronous Motors.
M. Mboup & S. Riachy. (2014) A Frequency Domain Interpretation of the Algebraic Differentiators. IFAC Proceedings Volumes 47:3, pages 9147-9151.
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D.Y. Liu, T.M. Laleg-Kirati, W. Perruquetti & O. Gibaru. (2014) Non-asymptotic state estimation for a class of linear time-varying systems with unknown inputs. IFAC Proceedings Volumes 47:3, pages 3732-3738.
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François Boulier, Anja Korporal, François Lemaire, Wilfrid Perruquetti, Adrien Poteaux & Rosane Ushirobira. 2014. Computer Algebra in Scientific Computing. Computer Algebra in Scientific Computing 28 43 .
Romain Delpoux, Hebertt Sira-Ramirez & Thierry Floquet. (2013) Acceleration feedback via an algebraic state estimation method. Acceleration feedback via an algebraic state estimation method.
D.Y. Liu, T.M. Laleg-Kirati & O. Gibaru. (2013) Fractional order differentiation by integration: an application to fractional linear systems. IFAC Proceedings Volumes 46:1, pages 653-658.
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Da-Yan Liu, Olivier Gibaru, Wilfrid Perruquetti & Taous-Meriem Laleg-Kirati. (2012) Fractional order differentiation by integration with Jacobi polynomials. Fractional order differentiation by integration with Jacobi polynomials.
Wilfrid Perruquetti, Vincent Bonnet, Mamadou Mboup, Rosane Ushirobira & Philippe Fraisse. (2012) An algebraic approach for human posture estimation in the sagittal plane using accelerometer noisy signal. An algebraic approach for human posture estimation in the sagittal plane using accelerometer noisy signal.
Mamadou Mboup. (2012) Neural spike detection and localisation via Volterra filtering. Neural spike detection and localisation via Volterra filtering.
Zoran Tiganj, Mamadou Mboup, Sylvain Chevallier & Emmanuel Kalunga. (2012) Online frequency band estimation and change-point detection. Online frequency band estimation and change-point detection.
Da-Yan Liu, Olivier Gibaru & Wilfrid Perruquetti. (2012) Non-asymptotic fractional order differentiators via an algebraic parametric method. Non-asymptotic fractional order differentiators via an algebraic parametric method.
Rosane Ushirobira, Wilfrid Perruquetti, Mamadou Mboup & Michel Fliess. (2012) Algebraic parameter estimation of a biased sinusoidal waveform signal from noisy data. IFAC Proceedings Volumes 45:16, pages 167-172.
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Wael Guibene, Aawatif Hayar, Monia Turki & Dirk Slock. (2012) A Complete Framework for Spectrum Sensing Based on Spectrum Change Points Detection for Wideband Signals. A Complete Framework for Spectrum Sensing Based on Spectrum Change Points Detection for Wideband Signals.
Abdouramane Moussa Ali, Cédric Join & Frédéric Hamelin. (2012) Fault diagnosis without a priori model. Systems & Control Letters 61:2, pages 316-321.
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Da-yan Liu, Olivier Gibaru & Wilfrid Perruquetti. 2012. Curves and Surfaces. Curves and Surfaces 445 455 .
Abdouramane Moussa Ali, Cedric Join & Frederic Hamelin. (2011) A robust algebraic approach to fault diagnosis of uncertain linear systems. A robust algebraic approach to fault diagnosis of uncertain linear systems.
Emiliano Pereira, Juan R. Trapero, Iván M. Díaz & Vicente Feliu. (2011) Algebraic identification of the first two natural frequencies of flexible-beam-like structures. Mechanical Systems and Signal Processing 25:7, pages 2324-2335.
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Samer Riachy, Mamadou Mboup & Jean-Pierre Richard. (2011) Multivariate numerical differentiation. Journal of Computational and Applied Mathematics 236:6, pages 1069-1089.
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Da-Yan Liu, Olivier Gibaru & Wilfrid Perruquetti. (2011) Error analysis of Jacobi derivative estimators for noisy signals. Numerical Algorithms 58:1, pages 53-83.
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Da-yan Liu, Olivier Gibaru & Wilfrid Perruquetti. (2011) Parameters estimation of a noisy sinusoidal signal with time-varying amplitude. Parameters estimation of a noisy sinusoidal signal with time-varying amplitude.
Da-yan Liu, Olivier Gibaru & Wilfrid Perruquetti. (2011) Differentiation by integration with Jacobi polynomials. Journal of Computational and Applied Mathematics 235:9, pages 3015-3032.
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Samer Riachy, Mamadou Mboup & Jean-Pierre Richard. (2011) Numerical differentiation on irregular grids. IFAC Proceedings Volumes 44:1, pages 14-19.
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Michel Fliess, Cédric Join & Mamadou Mboup. (2010) Algebraic change-point detection. Applicable Algebra in Engineering, Communication and Computing 21:2, pages 131-143.
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Zoran Tiganj & Mamadou Mboup. 2009. Independent Component Analysis and Signal Separation. Independent Component Analysis and Signal Separation 475 482 .

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