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1

How to impose physically coherent initial conditions to a fractional system?

Jocelyn Sabatier, Mathieu Merveillaut, Rachid Malti, Alain Oustaloup

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2010

Language:

english

File:

PDF, 436 KB

english, 2010

2

Numerical Simulations of Fractional Systems: An Overview of Existing Methods and Improvements

Mohamed Aoun, Rachid Malti, François Levron, Alain Oustaloup

Journal:

Nonlinear Dynamics

Year:

2004

Language:

english

File:

PDF, 405 KB

english, 2004

3

A note on -norms of fractional systems

Journal:

Year:

2013

Language:

english

File:

PDF, 502 KB

english, 2013

4

TUTORIAL ON SYSTEM IDENTIFICATION USING FRACTIONAL DIFFERENTIATION MODELS

Malti, Rachid, Aoun, Mohamed, Sabatier, Jocelyn, Oustaloup, Alain

Journal:

IFAC Proceedings Volumes

Year:

2006

Language:

english

File:

PDF, 3.08 MB

english, 2006

5

Simple and Robust Experiment Design for System Identification using Fractional Models

Abrashov, Sergey, Malti, Rachid, Moze, Mathieu, Moreau, Xavier, Aioun, Francois, Guillemard, Franck

Journal:

IEEE Transactions on Automatic Control

Year:

2016

Language:

english

File:

PDF, 376 KB

english, 2016

6

Synthesis of Havriliak-Negami functions for time-domain system identification

Sommacal, Laurent, Melchior, Pierre, Malti, Rachid, Oustaloup, Alain

Journal:

IFAC Proceedings Volumes

Year:

2008

Language:

english

File:

PDF, 429 KB

english, 2008

7

Optimal input design for continuous-time system identification

Abrashov, Sergey, Malti, Rachid, Moreau, Xavier, Moze, Mathieu, Aioun, François, Guillemard, Franck

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2018

Language:

english

File:

PDF, 813 KB

english, 2018

8

Stability and resonance conditions of elementary fractional transfer functions

Rachid Malti, Xavier Moreau, Firas Khemane, Alain Oustaloup

Journal:

Year:

2011

Language:

english

File:

PDF, 928 KB

english, 2011

9

Parameter and differentiation order estimation in fractional models

Victor, Stéphane, Malti, Rachid, Garnier, Hugues, Oustaloup, Alain

Journal:

Year:

2013

Language:

english

File:

PDF, 876 KB

english, 2013

10

Advances in System Identification Using Fractional Models

Malti, Rachid, Victor, Stephane, Oustaloup, Alain

Journal:

Journal of Computational and Nonlinear Dynamics

Year:

2008

Language:

english

File:

PDF, 556 KB

english, 2008

11

Nonlinear heat diffusion simulation using Volterra series expansion

Battaglia, Jean-Luc, Maachou, Asma, Malti, Rachid, Melchior, Pierre

Journal:

International Journal of Thermal Sciences

Year:

2013

Language:

english

File:

PDF, 898 KB

english, 2013

12

Fractional model for pharmacokinetics of high dose methotrexate in children with acute lymphoblastic leukaemia

Popović, Jovan K., Spasić, Dragan T., Tošić, Jela, Kolarović, Jovanka L., Malti, Rachid, Mitić, Igor M., Pilipović, Stevan, Atanacković, Teodor M.

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2015

Language:

english

File:

PDF, 893 KB

english, 2015

13

[IEEE 2014 International Conference on Fractional Differentiation and its Applications (ICFDA) - Catania (2014.6.23-2014.6.25)] ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014 - Fourth order cumulants in EIV system identification using fractional models. An electronic application

Chetoui, Manel, Thomassin, Magalie, Malti, Rachid, Aoun, Mohamed, Abdelkrim, Mohamed Naceur

Year:

2014

Language:

english

File:

PDF, 313 KB

english, 2014

14

An overview of the CRONE approach in system analysis, modeling and identification, observation and control

Oustaloup, Alain, Sabatier, Jocelyn, Lanusse, Patrick, Malti, Rachid, Melchior, Pierre, Moreau, Xavier, Moze, Mathieu

Journal:

IFAC Proceedings Volumes

Year:

2008

Language:

english

File:

PDF, 379 KB

english, 2008

15

ENERGY OF FRACTIONAL ORDER TRANSFER FUNCTIONS

MALTI, Rachid, COIS, Olivier, AOUN, Mohammed, LEVRON, François, OUSTALOUP, Alain

Journal:

IFAC Proceedings Volumes

Year:

2002

Language:

english

File:

PDF, 479 KB

english, 2002

16

Towards an object oriented CRONE Toolbox for fractional differential systems*

Malti, Rachid, Melchior, Pierre, Lanusse, Patrick, Oustaloup, Alain

Journal:

IFAC Proceedings Volumes

Year:

2011

Language:

english

File:

PDF, 529 KB

english, 2011

17

Set membership parameter estimation of fractional models based on bounded frequency domain data

Rachid Malti, Tarek Raïssi, Magalie Thomassin, Firas Khemane

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2010

Language:

english

File:

PDF, 1.45 MB

english, 2010

18

Analytical computation of the -norm of fractional commensurate transfer functions

Rachid Malti, Mohamed Aoun, François Levron, Alain Oustaloup

Journal:

Year:

2011

Language:

english

File:

PDF, 490 KB

english, 2011

19

Robust estimation of fractional models in the frequency domain using set membership methods

Firas Khemane, Rachid Malti, Tarek Raïssi, Xavier Moreau

Journal:

Signal Processing

Year:

2012

Language:

english

File:

PDF, 704 KB

english, 2012

20

Thermal system identification using fractional models for high temperature levels around different operating points

Asma Maachou, Rachid Malti, Pierre Melchior, Jean-Luc Battaglia, Bruno Hay

Journal:

Nonlinear Dynamics

Year:

2012

Language:

english

File:

PDF, 649 KB

english, 2012

21

Object-oriented CRONE toolbox for fractional differential signal processing

Malti, Rachid, Melchior, Pierre, Lanusse, Patrick, Oustaloup, Alain

Journal:

Signal, Image and Video Processing

Year:

2012

Language:

english

File:

PDF, 641 KB

english, 2012

22

Differentiation similarities in fractional pseudo-state space representations and the subspace-based methods

Rachid Malti, Magalie Thomassin

Journal:

Fractional Calculus and Applied Analysis

Year:

2013

Language:

english

File:

PDF, 282 KB

english, 2013

23

New consistent methods for order and coefficient estimation of continuous-time errors-in-variables fractional models

Chetoui, Manel, Thomassin, Magalie, Malti, Rachid, Aoun, Mohamed, Najar, Slaheddine, Abdelkrim, Mohamed Naceur, Oustaloup, Alain

Journal:

Computers & Mathematics with Applications

Year:

2013

Language:

english

File:

PDF, 574 KB

english, 2013

24

[IEEE 2013 10th International Multi-Conference on Systems, Signals & Devices (SSD) - Hammamet, Tunisia (2013.03.18-2013.03.21)] 10th International Multi-Conferences on Systems, Signals & Devices 2013 (SSD13) - Fourth-order cumulants based method for continuous-time EIV fractional model identification

Chetoui, Manel, Malti, Rachid, Thomassin, Magalie, Najar, Slaheddine, Aoun, Mohamed, Abdelkrim, Mohamed Naceur, Oustaloup, Alain

Year:

2013

Language:

english

File:

PDF, 549 KB

english, 2013

25

Nonlinear thermal system identification using fractional Volterra series

Maachou, Asma, Malti, Rachid, Melchior, Pierre, Battaglia, Jean-Luc, Oustaloup, Alain, Hay, Bruno

Journal:

Control Engineering Practice

Year:

2014

Language:

english

File:

PDF, 1.58 MB

english, 2014

26

[IEEE 2009 EAEEIE Annual Conference - Valencia, Spain (2009.06.22-2009.06.24)] 2009 EAEEIE Annual Conference - Identification and control of a variable-speed drive: an interdisciplinary teaching approach

Bouter, Serge, Malti, Rachid, Armand, Camille

Year:

2009

Language:

english

File:

PDF, 209 KB

english, 2009

27

[IEEE 2014 IEEE/ASME 10th International Conference on Mechatronic and Embedded Systems and Applications (MESA) - Senigallia, Italy (2014.9.10-2014.9.12)] 2014 IEEE/ASME 10th International Conference on Mechatronic and Embedded Systems and Applications (MESA) - Frequency-domain subspace system identification with fractional differentiation models

Ivanova, Elena, Malti, Rachid, Moreau, Xavier

Year:

2014

Language:

english

File:

PDF, 251 KB

english, 2014

28

[IEEE 2008 19th EAEEIE Annual Conference - Tallinn (2008.06.29-2008.07.2)] 2008 19th EAEEIE Annual Conference - Development of an HMI based on the OPC standard

Bouter, Serge, Malti, Rachid, Fremont, Helene

Year:

2008

Language:

english

File:

PDF, 354 KB

english, 2008

29

[IEEE 2014 International Conference on Fractional Differentiation and its Applications (ICFDA) - Catania (2014.6.23-2014.6.25)] ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014 - Experiment design in system identification using fractional models

Malti, Rachid, Abrashov, Sergey, Moze, Mathieu, Moreau, Xavier

Year:

2014

Language:

english

File:

PDF, 625 KB

english, 2014

30

H2

Malti, Rachid, Chevrié, Mathieu, Farges, Christophe, Sabatier, Jocelyn

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2015

Language:

english

File:

PDF, 582 KB

english, 2015

31

\(\fancyscript{H}_2\)-norm computation of a class of implicit fractional transfer functions: application to approximation by integer order models

Chevrié, Mathieu, Sabatier, Jocelyn, Farges, Christophe, Malti, Rachid

Journal:

International Journal of Dynamics and Control

Year:

2017

Language:

english

File:

PDF, 416 KB

english, 2017

32

Évolution lithostratigraphique, paléoenvironnementale et paléogéographique du flysch de Ben-Zireg (Viséen inférieur, Algérie)

Benyoucef, Madani, Malti, Fatima Zohra, Adaci, Mohammed, Fellah, Ahmed Hamza, Abbache, Abdelkader, Cherif, Amine, Sidhoum, Rachid, Bensalah, Mustapha

Journal:

Year:

2015

File:

PDF, 10.10 MB

2015

33

[IEEE 2015 American Control Conference (ACC) - Chicago, IL, USA (2015.7.1-2015.7.3)] 2015 American Control Conference (ACC) - ℋ2-norm of a class of fractional transfer functions suited for modeling diffusive phenomena

Chevrie, Mathieu, Sabatier, Jocelyn, Farges, Christophe, Malti, Rachid

Year:

2015

Language:

english

File:

PDF, 190 KB

english, 2015

34

[ASME ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Chicago, Illinois, USA (September 2–6, 2003)] Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C - Numerical Simulations of Fractional Systems

Aoun, Mohamed, Malti, Rachid, Levron, François, Oustaloup, Alain

Year:

2003

Language:

english

File:

PDF, 216 KB

english, 2003

35

[ASME ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Chicago, Illinois, USA (September 2–6, 2003)] Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C - H

Malti, Rachid, Aoun, Mohamed, Cois, Olivier, Oustaloup, Alain, Levron, François

Year:

2003

Language:

english

File:

PDF, 401 KB

english, 2003

36

[ASME ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - San Diego, California, USA (August 30–September 2, 2009)] Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C - From System Identification to Path Planning Using Fractional Approach: A Thermal Application Example

Victor, Stéphane, Malti, Rachid, Melchior, Pierre, Oustaloup, Alain

Year:

2009

Language:

english

File:

PDF, 225 KB

english, 2009

37

[ASME ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - San Diego, California, USA (August 30–September 2, 2009)] Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C - Multivariable Identification of Continuous-Time Fractional System

Thomassin, Magalie, Malti, Rachid

Year:

2009

Language:

english

File:

PDF, 471 KB

english, 2009

38

[ASME ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Washington, DC, USA (August 28–31, 2011)] Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B - The Solution of Linear Fractional Differential Equations Using the Fractional Meta-Trigonometric Functions

Lorenzo, Carl F., Malti, Rachid, Hartley, Tom T.

Year:

2011

Language:

english

File:

PDF, 820 KB

english, 2011

39

[ASME ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Las Vegas, Nevada, USA (September 4–7, 2007)] Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C - System Identification Using Fractional Models: State of the Art

Malti, Rachid, Victor, Stéphane, Nicolas, Olivier, Oustaloup, Alain

Year:

2007

Language:

english

File:

PDF, 130 KB

english, 2007

40

Time-domain simulation of MIMO fractional systems

Ivanova, Elena, Malti, Rachid, Moreau, Xavier

Journal:

Nonlinear Dynamics

Year:

2016

Language:

english

File:

PDF, 1.39 MB

english, 2016

41

[ASME ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - San Diego, California, USA (August 30–September 2, 2009)] Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C - Instrumental Variable Method for Identifying Fractional Box-Jenkins Models

Victor, Stéphane, Malti, Rachid, Oustaloup, Alain

Year:

2009

Language:

english

File:

PDF, 346 KB

english, 2009

42

Optimal input design for continuous-time system identification: application to fractional systems

ABRASHOV, Sergey, MALTI, Rachid, MOZE, Mathieu, MOREAU, Xavier, GUILLEMARD, Franck

Journal:

IFAC-PapersOnLine

Year:

2015

Language:

english

File:

PDF, 429 KB

english, 2015

43

CRONE Toolbox for system identification using fractional differentiation models

Malti, Rachid, Victor, Stéphane

Journal:

IFAC-PapersOnLine

Year:

2015

Language:

english

File:

PDF, 518 KB

english, 2015

44

SYSTEM IDENTIFICATION USING FRACTIONAL HAMMERSTEIN MODELS

AOUN, Mohamed, MALTI, Rachid, COIS, Olivier, OUSTALOUP, Alain

Journal:

IFAC Proceedings Volumes

Year:

2002

Language:

english

File:

PDF, 607 KB

english, 2002

45

SYNTHESIS AND SIMULATION OF FRACTIONAL ORTHONORMAL BASES

Aoun, Mohamed, Malti, Rachid, Oustaloup, Alain

Journal:

IFAC Proceedings Volumes

Year:

2005

Language:

english

File:

PDF, 268 KB

english, 2005

46

Instrumental variable method with optimal fractional differentiation order for continuous-time system identification

Victor, Stéphane, Malti, Rachid, Oustaloup, Alain

Journal:

IFAC Proceedings Volumes

Year:

2009

Language:

english

File:

PDF, 352 KB

english, 2009

47

Path tracking with flatness and CRONE control for Fractional Systems: thermal application

Victor, Stéphane, Melchior, Pierre, Malti, Rachid, Oustaloup, Alain

Journal:

IFAC Proceedings Volumes

Year:

2011

Language:

english

File:

PDF, 756 KB

english, 2011

48

Which Lp-norm for evaluating fractional system performances?* *The author is grateful to François Levron for commenting a previous version of the paper. Tel. +33 (0)5 4000 3709. Fax +33 (0)5 4000 6644. rachid.malti@ims-bordeaux.fr

Journal:

IFAC Proceedings Volumes

Year:

2013

Language:

english

File:

PDF, 260 KB

english, 2013

49

H2-norm of fractional transfer functions of implicit type of the first kind

Chevrié, Mathieu, Malti, Rachid, Farges, Christophe, Sabatier, Jocelyn

Journal:

IFAC Proceedings Volumes

Year:

2014

Language:

english

File:

PDF, 225 KB

english, 2014

50

[IEEE 2014 International Conference on Fractional Differentiation and its Applications (ICFDA) - Catania (2014.6.23-2014.6.25)] ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014 - Lp-novm boundedness conditions of stable Davidson-Cole filters

Malti, Rachid, Chevrie, Mathieu, Farces, Christophe, Sabatler, Jocelyn

Year:

2014

Language:

english

File:

PDF, 317 KB

english, 2014

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