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Dayan Liu

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Modulating functions based differentiator of the pseudo-state for a class of fractional order linear systems

Yan-Qiao Wei , Da-Yan Liu , Driss Boutat , Hao-Ran Liu , Chunwan Lv et al.
Journal of Computational and Applied Mathematics, 2021, 384, pp.113161. ⟨10.1016/j.cam.2020.113161⟩
Journal articles hal-03113892v1

Selection of Modulating Functions’ Design Parameters for Estimation Problems

Sharefa Asiri , Da-Yan Liu , Taous-Meriem Laleg-Kirati
IEEE Control Systems Letters, 2021, 5 (1), pp.277-282. ⟨10.1109/LCSYS.2020.3000849⟩
Journal articles hal-03113903v1

Numerical Analysis of Viscoelastic Rotating Beam with Variable Fractional Order Model Using Shifted Bernstein–Legendre Polynomial Collocation Algorithm

Cundi Han , Yiming Chen , Da-Yan Liu , Driss Boutat
Fractal and Fractional, 2021, 5 (1), pp.8. ⟨10.3390/fractalfract5010008⟩
Journal articles hal-03113929v1

Discussion on the Leibniz rule and Laplace transform of fractional derivatives using series representation

Yiheng Wei , Da-Yan Liu , Peter Tse , Yong Wang
Integral Transforms and Special Functions, 2020, 31 (4), pp.304-322. ⟨10.1080/10652469.2019.1694923⟩
Journal articles hal-02464213v1

Observer normal forms for a class of nonlinear systems by means of coupled auxiliary dynamics

Li‐fei Wang , Driss Boutat , Da-Yan Liu
International Journal of Robust and Nonlinear Control, 2020, 30 (13), pp.4960-4978. ⟨10.1002/rnc.5027⟩
Journal articles hal-03113924v1

On the series representation of nabla discrete fractional calculus

Yiheng Wei , Qing Gao , Da-Yan Liu , Yong Wang
Communications in Nonlinear Science and Numerical Simulation, 2019, 69, pp.198-218. ⟨10.1016/j.cnsns.2018.09.024⟩
Journal articles hal-03113977v1

Innovative fractional derivative estimation of the pseudo-state for a class of fractional order linear systems

Yan-Qiao Wei , Da-Yan Liu , Driss Boutat
Automatica, 2019, 99, pp.157-166. ⟨10.1016/j.automatica.2018.10.028⟩
Journal articles hal-02464184v1
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Numerical algorithm to solve generalized fractional pantograph equations with variable coefficients based on shifted Chebyshev polynomials

Li-Ping Wang , Yi-Ming Chen , Da-Yan Liu , Driss Boutat
International Journal of Computer Mathematics, 2019, 96 (12), pp.2487-2510. ⟨10.1080/00207160.2019.1573992⟩
Journal articles hal-02884254v1

State estimation of a heavy-duty machine tool–foundation system based on observability

Yang Tian , Driss Boutat , Zhi-Feng Liu , Da-Yan Liu
Journal of Vibration and Control, 2019, 25 (8), pp.1447-1459. ⟨10.1177/1077546318823890⟩
Journal articles hal-02464224v1

Algebraic fractional order differentiator based on the pseudo-state space representation

Xing Wei , Da-Yan Liu , Driss Boutat , Yi-Ming Chen
Fractional Calculus and Applied Analysis, 2019, 22 (5), pp.1395-1413. ⟨10.1515/fca-2019-0073⟩
Journal articles hal-02464194v1

A hierarchical simple particle swarm optimization with mean dimensional information

Hao-Ran Liu , Jing-Chuang Cui , Ze-Dan Lu , Da-Yan Liu , Yu-Jing Deng et al.
Applied Soft Computing, 2019, 76, pp.712-725. ⟨10.1016/j.asoc.2019.01.004⟩
Journal articles hal-02464229v1
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Fast and robust estimation for positions and velocities from noisy accelerations using generalized modulating functions method

Yang Tian , Yan-Qiao Wei , Da-Yan Liu , Driss Boutat
Mechanical Systems and Signal Processing, 2019, 133, pp.106270. ⟨10.1016/j.ymssp.2019.106270⟩
Journal articles hal-02464218v1

Numerical solution for a class of multi-order fractional differential equations with error correction and convergence analysis

Wei Han , Yi-Ming Chen , Da-Yan Liu , Xiao-Lin Li , Driss Boutat et al.
Advances in Difference Equations, 2018, 2018 (1), ⟨10.1186/s13662-018-1702-z⟩
Journal articles hal-02464239v1

Numerical study of a class of variable order nonlinear fractional differential equation in terms of Bernstein polynomials

Yi-Ming Chen , Li-Qing Liu , Da-Yan Liu , Driss Boutat
Ain Shams Engineering Journal, 2018, 9 (4), pp.1235-1241. ⟨10.1016/j.asej.2016.07.002⟩
Journal articles hal-02464268v1
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An improved pseudo-state estimator for a class of commensurate fractional order linear systems based on fractional order modulating functions

Yan-Qiao Wei , Da-Yan Liu , Driss Boutat , Yi-Ming Chen
Systems and Control Letters, 2018, 118, pp.29-34. ⟨10.1016/j.sysconle.2018.05.011⟩
Journal articles hal-02884211v1
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Lur’e Postnikov Lyapunov functional technique to global Mittag-Leffler stability of fractional-order neural networks with piecewise constant argument

Li-Fei Wang , Huaiqin Wu , Da-Yan Liu , Driss Boutat , Yi-Ming Chen et al.
Neurocomputing, 2018, 302, pp.23-32. ⟨10.1016/j.neucom.2018.03.050⟩
Journal articles hal-02884224v1

Nonasymptotic Pseudo-State Estimation for a Class of Fractional Order Linear Systems

Xing Wei , Da-Yan Liu , Driss Boutat
IEEE Transactions on Automatic Control, 2017, 62 (3), pp.1150-1164. ⟨10.1109/TAC.2016.2575830⟩
Journal articles hal-02464241v1
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Model-free fractional order differentiator based on fractional order Jacobi orthonormal functions

Xiao-Lin Li , Yi-Ming Chen , Da-Yan Liu , Yan-Qiao Wei , Driss Boutat et al.
Digital Signal Processing, 2017, 71, pp.69-82. ⟨10.1016/j.dsp.2017.09.001⟩
Journal articles hal-02884925v1
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Non-asymptotic fractional order differentiator for a class of fractional order linear systems

Da-Yan Liu , Gang Zheng , Driss Boutat , Hao-Ran Liu
Automatica, 2017, 78, pp.61-71. ⟨10.1016/j.automatica.2016.12.017⟩
Journal articles hal-01420910v1

Direct and inverse source problems for a space fractional advection dispersion equation

Abeer Aldoghaither , Taous-Meriem Laleg-Kirati , Da-Yan Liu
Journal of Inverse and Ill-posed Problems, 2017, 25 (2), ⟨10.1515/jiip-2015-0037⟩
Journal articles hal-02464251v1
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Variable-order fractional numerical differentiation for noisy signals by wavelet denoising

Yi-Ming Chen , Yan-Qiao Wei , Da-Yan Liu , Driss Boutat , Xiu-Kai Chen et al.
Journal of Computational Physics, 2016, 311, pp.338-347. ⟨10.1016/j.jcp.2016.02.013⟩
Journal articles hal-02884938v1

Observer design for a class of nonlinear piecewise systems. Application to an epidemic model with treatment

Abdessamad Abdelhedi , Driss Boutat , Lassaad Sbita , Ramdane Tami , Da-Yan Liu et al.
Mathematical Biosciences, 2016, 271, pp.128-135. ⟨10.1016/j.mbs.2015.11.002⟩
Journal articles hal-02464257v1

Backstepping observer-based output feedback control for a class of coupled parabolic PDEs with different diffusions

Bai-Nan Liu , Driss Boutat , Da-Yan Liu
Systems & Control Letters, 2016, 97, pp.61-69. ⟨10.1016/j.sysconle.2016.09.004⟩
Journal articles hal-02464253v1

Numerical Study for a Class of Variable Order Fractional Integral-differential Equation in Terms of Bernstein Polynomials

Jinsheng Wang , Liqing Liu , Yiming Chen , Lechun Liu , Da-Yan Liu et al.
Computer Modeling in Engineering and Sciences, 2015
Journal articles hal-02464311v1

Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets

Yi-Ming Chen , Yan-Qiao Wei , Da-Yan Liu , Hao Yu
Applied Mathematics Letters, 2015, 46, pp.83-88. ⟨10.1016/j.aml.2015.02.010⟩
Journal articles hal-02464264v1

Observer design for a class of non-linear systems with linearisable error dynamics

Driss Boutat , Da-Yan Liu
IET Control Theory and Applications, 2015, 9 (15), pp.2298-2304. ⟨10.1049/iet-cta.2014.0970⟩
Journal articles hal-02464261v1

Modulating Functions Based Algorithm for the Estimation of the Coefficients and Differentiation Order for a Space-Fractional Advection-Dispersion Equation

Abeer Aldoghaither , Da-Yan Liu , Taous-Meriem Laleg-Kirati
SIAM Journal on Scientific Computing, 2015, 37 (6), pp.A2813-A2839. ⟨10.1137/15M1008993⟩
Journal articles hal-02464262v1

An algebraic fractional order differentiator for a class of signals satisfying a linear differential equation

Da-Yan Liu , Yang Tian , Driss Boutat , Taous-Meriem Laleg-Kirati
Signal Processing, 2015, 116, pp.78-90. ⟨10.1016/j.sigpro.2015.04.017⟩
Journal articles hal-02464258v1

Finite element method for two-dimensional space-fractional advection–dispersion equations

Yanmin Zhao , Weiping Bu , Jianfei Huang , Da-Yan Liu , Yifa Tang et al.
Applied Mathematics and Computation, 2015, 257, pp.553-565. ⟨10.1016/j.amc.2015.01.016⟩
Journal articles hal-02464267v1

Fractional order differentiation by integration and error analysis in noisy environment

Da-Yan Liu , Olivier Gibaru , Wilfrid Perruquetti , Taous-Meriem Laleg-Kirati
IEEE Transactions on Automatic Control, 2015, 60 (11), pp.2945 - 2960. ⟨10.1109/TAC.2015.2417852⟩
Journal articles hal-01134780v1
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Robust fractional order differentiators using generalized modulating functions method

Da-Yan Liu , Taous-Meriem Laleg-Kirati
Signal Processing, 2014
Journal articles hal-00923748v3
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Differentiation by integration with Jacobi polynomials

Da-Yan Liu , Olivier Gibaru , Wilfrid Perruquetti
Journal of Computational and Applied Mathematics, 2011, 235 (9), pp.Pages 3015-3032. ⟨10.1016/j.cam.2010.12.023⟩
Journal articles inria-00550160v2
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Error analysis of Jacobi derivative estimators for noisy signals

Da-Yan Liu , Olivier Gibaru , Wilfrid Perruquetti
Numerical Algorithms, 2011, 58 (1), pp.53-83. ⟨10.1007/s11075-011-9447-8⟩
Journal articles inria-00573270v1

Observer design for a generalized class of nonlinear dynamical systems with input

Li-Fei Wang , Driss Boutat , Da-Yan Liu
2020 39th Chinese Control Conference (CCC), Jul 2020, Shenyang, China. pp.473-478, ⟨10.23919/CCC50068.2020.9188901⟩
Conference papers hal-03113959v1

Robust commensurate fractional differentiators for a class of fractional order linear systems

Ang Li , Da-Yan Liu , Driss Boutat , Yong Wang
2020 39th Chinese Control Conference (CCC), Jul 2020, Shenyang, China. pp.77-82, ⟨10.23919/CCC50068.2020.9188610⟩
Conference papers hal-03113937v1

Non-asymptotic estimation for positions and velocities from noisy accelerations for a class of linear systems

Yang Tian , Da-Yan Liu , Driss Boutat
2019 Chinese Control Conference (CCC), Jul 2019, Guangzhou, China. pp.2365-2370, ⟨10.23919/ChiCC.2019.8866324⟩
Conference papers hal-02464416v1

Non-asymptotic fractional pseudo-state differentiator for a class of fractional order linear systems

Yan-Qiao Wei , Da-Yan Liu , Driss Boutat , Hao-Ran Liu
2019 Chinese Control Conference (CCC), Jul 2019, Guangzhou, China. pp.2347-2352, ⟨10.23919/ChiCC.2019.8866466⟩
Conference papers hal-02464409v1

Robust estimation of the fractional integral and derivative of the pseudo-state for a class of fractional order linear systems

Yan-Qiao Wei , Da-Yan Liu , Driss Boutat , Hao-Ran Liu
2018 37th Chinese Control Conference (CCC), Jul 2018, Wuhan, China. pp.10207-10212, ⟨10.23919/ChiCC.2018.8483491⟩
Conference papers hal-02464456v1

A Class of Coupled Extended Dynamics Observability Normal Forms

Li-Fei Wang , Driss Boutat , Da-Yan Liu , Hao-Ran Liu
2018 37th Chinese Control Conference (CCC), Jul 2018, Wuhan, China. pp.829-834, ⟨10.23919/ChiCC.2018.8482663⟩
Conference papers hal-02464460v1

Backstepping Output Feedback Control for a Class of Coupled Reaction-Advection-Diffusion Systems with the Same Diffusion

Bai-Nan Liu , Driss Boutat , Da-Yan Liu , Yang Tian
2018 37th Chinese Control Conference (CCC), Jul 2018, Wuhan, China. pp.1225-1232, ⟨10.23919/ChiCC.2018.8483777⟩
Conference papers hal-02464465v1

Controllability and observability of linear nabla fractional order systems

Yiheng Wei , Yuxin Gao , Da-Yan Liu , Yong Wang
2018 37th Chinese Control Conference (CCC), Jul 2018, Wuhan, China. pp.10164-10168, ⟨10.23919/ChiCC.2018.8483736⟩
Conference papers hal-02464461v1

Modulating functions-based fractional order differentiator for fractional order linear systems with a biased output

Xing Wei , Da-Yan Liu , Driss Boutat , Hao-Ran Liu , Ya-Qian Li et al.
the 20th World Congress of the International Federation of Automatic Control, Jul 2017, Toulouse, France. pp.12859-12865, ⟨10.1016/j.ifacol.2017.08.1937⟩
Conference papers hal-02464480v1

Backstepping observer-based output feedback control for a class of coupled parabolic PDEs with the same diffusion

Bai-Nan Liu , Driss Boutat , Da-Yan Liu
2017 36th Chinese Control Conference (CCC), Jul 2017, Dalian, China. pp.1670-1675, ⟨10.23919/ChiCC.2017.8027591⟩
Conference papers hal-02464470v1

Robust estimation for the fractional integral and derivative of the output for a class of fractional order linear systems

Yan-Qiao Wei , Xing Wei , Da-Yan Liu , Driss Boutat
2017 36th Chinese Control Conference (CCC), Jul 2017, Dalian, China. pp.11379-11384, ⟨10.23919/ChiCC.2017.8029174⟩
Conference papers hal-02464477v1

Modulating functions method for parameters estimation in the fifth order KdV equation

Sharefa Asiri , Da-Yan Liu , Taous-Meriem Laleg-Kirati
2017 25th Mediterranean Conference on Control and Automation (MED), Jul 2017, Valletta, Malta. pp.30-35, ⟨10.1109/MED.2017.7984091⟩
Conference papers hal-02464482v1

Extension of modulating functions method to pseudo-state estimation for fractional order linear systems

Xing Wei , Da-Yan Liu , Driss Boutat
2016 35th Chinese Control Conference (CCC), Jul 2016, Chengdu, China. pp.10469-10474, ⟨10.1109/ChiCC.2016.7555015⟩
Conference papers hal-02464486v1

Online estimation of robot dynamic parameters using causal Jacobi differentiator

Qi Guo , Da-Yan Liu , Wilfrid Perruquetti , Maxime Gautier
2015 54th IEEE Conference on Decision and Control (CDC), Dec 2015, Osaka, China. pp.443-448, ⟨10.1109/CDC.2015.7402240⟩
Conference papers hal-02464500v1
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Identification of Robot Dynamic Parameters Using Jacobi Differentiator

Qi Guo , Maxime Gautier , Da-Yan Liu , Wilfrid Perruquetti
2015 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM), IEEE/ASME, Jul 2015, Busan, South Korea
Conference papers hal-01164109v1

A new model-based fractional order differentiator with application to fractional order PID controllers

Xing Wei , Da-Yan Liu , Driss Boutat
2015 54th IEEE Conference on Decision and Control (CDC), Dec 2015, Osaka, Japan. pp.3718-3723, ⟨10.1109/CDC.2015.7402796⟩
Conference papers hal-02464490v1

Caputo fractional derivative estimation for a class of signals satisfying a linear differential equation

Xing Wei , Da-Yan Liu , Driss Boutat
2015 34th Chinese Control Conference (CCC), Jul 2015, Hangzhou, China. pp.4598-4603, ⟨10.1109/ChiCC.2015.7260350⟩
Conference papers hal-02464493v1
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Synthesis on a class of algebraic differentiators and application to nonlinear observation

Da-Yan Liu , Olivier Gibaru , Wilfrid Perruquetti
The 33rd Chinese Control Conference (CCC), Jul 2014, Nanjing, China
Conference papers hal-00986345v1
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Joint state and parameter estimation for a class of cascade systems: Application to a hemodynamic model

Chadia Zayane-Aissa , Da-Yan Liu , Taous-Meriem Laleg-Kirati
The 13th European Control Conference (ECC 2014), Jun 2014, Strasbourg, France
Conference papers hal-00987907v1

Observer canonical form for a class of multi-outputs nonlinear systems

Driss Boutat , Da-Yan Liu
2014 33rd Chinese Control Conference (CCC), Jul 2014, Nanjing, China. pp.2547-2552, ⟨10.1109/ChiCC.2014.6897036⟩
Conference papers hal-02464506v1
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Non-asymptotic state estimation for a class of linear time-varying systems with unknown inputs

Da-Yan Liu , Taous-Meriem Laleg-Kirati , Wilfrid Perruquetti , Olivier Gibaru
the 19th World Congress of the International Federation of Automatic Control 2014, Aug 2014, Cape Town, South Africa
Conference papers hal-00968974v1

The determination of an unknown source for a space fractional advection dispersion equation

Abeer Aldoghaither , Taous-Meriem Laleg-Kirati , Da-Yan Liu
2014 IEEE/ASME 10th International Conference on Mechatronic and Embedded Systems and Applications (MESA), Sep 2014, Senigallia, Italy. pp.1-6, ⟨10.1109/MESA.2014.6935590⟩
Conference papers hal-02464503v1
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Fractional Order Numerical Differentiation with B-Spline Functions

Da-Yan Liu , Taous-Meriem Laleg-Kirati , Olivier Gibaru , Wilfrid Perruquetti
The International Conference on Fractional Signals and Systems 2013, Oct 2013, Ghent, Belgium
Conference papers hal-00859455v1
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Fractional order differentiation by integration: an application to fractional linear systems

Da-Yan Liu , Taous-Meriem Laleg-Kirati , Olivier Gibaru
6th IFAC Workshop on Fractional Differentiation and its Applications, Feb 2013, Grenoble, France
Conference papers hal-00759819v1
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Semi-classical based image reconstruction

Zineb Kaisserli , Taous-Meriem Laleg-Kirati , Da-Yan Liu
6th Colloquium on Trends in the Applications of Mathematics in Tunisia, Algeria, Morocco, 2013, Apr 2013, Algiers, Algeria
Conference papers hal-00795302v2
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Identification of fractional order systems using modulating functions method

Da-Yan Liu , Taous-Meriem Laleg-Kirati , Olivier Gibaru , Wilfrid Perruquetti
2013 American Control Conference, 2013, Jun 2013, Washington, DC, United States
Conference papers hal-00801425v1
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Mathematical properties of a semi-classical signal analysis method: noisy signal case

Da-Yan Liu , Taous-Meriem Laleg-Kirati
1st International Conference on Systems and Computer Science, Aug 2012, Villeneuve d'ascq, France
Conference papers hal-00713408v2
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Fractional order differentiation by integration with Jacobi polynomials

Da-Yan Liu , Olivier Gibaru , Wilfrid Perruquetti , Taous-Meriem Laleg-Kirati
51st IEEE Conference on Decision and Control, Dec 2012, Hawaii, United States
Conference papers hal-00728406v1
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Non-asymptotic fractional order differentiators via an algebraic parametric method

Da-Yan Liu , Olivier Gibaru , Wilfrid Perruquetti
1st International Conference on Systems and Computer Science, Aug 2012, Villeneuve d'ascq, France
Conference papers hal-00713338v1
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Parameters estimation of a noisy sinusoidal signal with time-varying amplitude

Da-Yan Liu , Olivier Gibaru , Wilfrid Perruquetti
19th Mediterranean Conference on Control and Automation (2011), Jun 2011, Corfou, Greece
Conference papers inria-00593408v1
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Error analysis for a class of numerical differentiator: application to state observation

Da-Yan Liu , Olivier Gibaru , Wilfrid Perruquetti
48th IEEE Conference on Decision and Control, Dec 2009, Shanghai, China
Conference papers inria-00437129v1
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An error analysis in the algebraic estimation of a noisy sinusoidal signal

Da-Yan Liu , Olivier Gibaru , Wilfrid Perruquetti , Michel Fliess , Mamadou Mboup et al.
16th Mediterranean Conference on Control and Automation, Jun 2008, Ajaccio, France
Conference papers inria-00300234v1
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Error analysis of a class of derivative estimators for noisy signals and applications

Da-Yan Liu
Numerical Analysis [math.NA]. Université des Sciences et Technologie de Lille - Lille I, 2011. English. ⟨NNT : ⟩
Theses tel-00634652v2