J. C. Agüero and G. C. Et-goodwin, Identifiability of errors in variables dynamic systems, 14th IFAC Symposium on System Identification (Sysid 06), pp.29-31, 2006.

J. C. Agüero and G. C. Et-goodwin, Identifiability of errors in variables dynamic systems, Automatica, vol.44, issue.2, pp.371-382, 2008.
DOI : 10.1016/j.automatica.2007.06.011

H. Akaike, On the use of non-gaussian process in the identification of a linear dynamic system, Annals of the Institute of Statistical Mathematics, vol.18, issue.1, pp.269-276, 1966.
DOI : 10.1007/BF02869534

M. Amairi, Systèmes d'ordres non entiers et identification par méthodes ensemblistes, Thèse de doctorat, 2011.

B. Anderson, Identification of scalar errors-in-variables models with dynamics, Automatica, vol.21, issue.6, pp.709-716, 1985.
DOI : 10.1016/0005-1098(85)90044-5

B. Anderson and M. Et-deistler, IDENTIFIABILITY IN DYNAMIC ERRORS-IN-VARIABLES MODELS, Journal of Time Series Analysis, vol.5, issue.1, pp.1-13, 1984.
DOI : 10.2307/1907835

B. Anderson and M. Et-deistler, Dynamic errors-in-variables systems with three variables, Automatica, vol.23, issue.5, pp.611-616, 1987.
DOI : 10.1016/0005-1098(87)90056-2

M. Aoun, Systèmes linéaires non entiers et identification par bases orthogonales nonentì eres, Thèse de doctorat, 2005.

M. Aoun, M. Chetoui, S. Najar, and M. N. Et-abdelkrim, Online identification of fractional linear systems, 11th International conference on Sciences and Techniques of Automatic control & computer engineering, 2010.

J. Battaglia, O. Cois, L. Puigsegur, and A. Et-oustaloup, Solving an inverse heat conduction problem using a non-integer identified model, International Journal of Heat and Mass Transfer, vol.44, issue.14, pp.442671-2680, 2001.
DOI : 10.1016/S0017-9310(00)00310-0

B. Bertsekas and D. , Constrained optimization and lagrange multiplier methods, Computer Science and Applied Mathematics, issue.1, 1982.

D. Brillinger, Time series : data analysis and theory, 2001.
DOI : 10.1137/1.9780898719246

M. Caputo, Linear Models of Dissipation whose Q is almost Frequency Independent--II, Geophysical Journal International, vol.13, issue.5, pp.529-539, 1967.
DOI : 10.1111/j.1365-246X.1967.tb02303.x

P. Castaldi and U. Et-soverini, Identification of dynamic errors-in-variables models, Automatica, vol.32, issue.4, pp.631-636, 1996.
DOI : 10.1016/0005-1098(95)00187-5

M. Chetoui, R. Malti, M. Thomassin, M. Aoun, S. Najar et al., Third-order cumulants based method for continuous-time Errors-In-Variables system identification by fractional models, Eighth International Multi-Conference on Systems, Signals & Devices, pp.1-6, 2011.
DOI : 10.1109/SSD.2011.5767441
URL : https://hal.archives-ouvertes.fr/hal-00668346

M. Chetoui, R. Malti, M. Thomassin, M. Aoun, S. Najar et al., Continuous-time system identification with fractional models from noisy input/output measurements using third-order cumulants, International Journal of Transactions on Signals Systems and Devices, pp.63-84, 2013.

M. Chetoui, R. Malti, M. Thomassin, M. Aoun, S. Najar et al., EIV methods for system identification with fractional models, 16th IFAC Symposium on System Identification, pp.2012-1641, 2012.
DOI : 10.3182/20120711-3-BE-2027.00270
URL : https://hal.archives-ouvertes.fr/hal-00751748

M. Chetoui, R. Malti, M. Thomassin, S. Najar, M. Aoun et al., Fourth-order cumulants based method for continuous-time EIV fractional model identification, 10th International Multi-Conferences on Systems, Signals & Devices 2013 (SSD13), pp.1-7, 2013.
DOI : 10.1109/SSD.2013.6564119
URL : https://hal.archives-ouvertes.fr/hal-00869313

M. Chetoui, M. Thomassin, R. Malti, M. Aoun, S. Najar et al., New consistent methods for order and coefficient estimation of continuous-time errors-in-variables fractional models, Computers & Mathematics with Applications, vol.66, issue.5, 2013.
DOI : 10.1016/j.camwa.2013.04.028
URL : https://hal.archives-ouvertes.fr/hal-00869310

M. Chetoui, M. Thomassin, R. Malti, M. Aoun, S. Najar et al., Higher-order statistics-based methods for order and, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00762988

B. Garnier, H. Mensler, M. Et-richard, and A. , Continuous-time model identification from sampled data: Implementation issues and performance evaluation, International Journal of Control, vol.76, issue.13, pp.761337-1357, 2003.
DOI : 10.1080/0020717031000149636

H. Garnier and L. Wang, Identification of continuous-time models from sampled data, 2008.
DOI : 10.1007/978-1-84800-161-9
URL : https://hal.archives-ouvertes.fr/hal-00161961

R. C. Geary, Inherent relations between random variables, Proceedings of the Royal Irish Academy. Section A : Mathematical and Physical Sciences, pp.63-76, 1941.

G. B. Giannakis, On the identifiability of non-Gaussian ARMA models using cumulants, IEEE Transactions on Automatic Control, vol.35, issue.1, pp.18-26, 1990.
DOI : 10.1109/9.45139

A. Grünwald, Uber begrenzte derivationen und deren anwendung, Z. Angew. Math. Phys, vol.12, pp.441-480, 1867.

M. Ichise, Y. Nagayanagi, and T. Et-kojima, An analog simulation of non-integer order transfer functions for analysis of electrode processes, Journal of Electroanalytical Chemistry and Interfacial Electrochemistry, vol.33, issue.2, pp.253-265, 1971.
DOI : 10.1016/S0022-0728(71)80115-8

Y. Inouye and Y. Et-suga, Identification of linear systems with noisy input using input-output cumulants, International Journal of Control, vol.59, issue.5, pp.1231-1253, 1994.
DOI : 10.1109/9.126580

Y. Inouye and H. Et-tsuchiya, Identification of linear systems using input-output cumulants, International Journal of Control, vol.3, issue.6, pp.1431-1448, 1991.
DOI : 10.1109/TAC.1970.1099514

L. Jia, M. Ikenoue, C. Jin, and K. Et-wada, On bias compensated least squares method for noisy input-output system identification, Decision and Control Proceedings of the 40th IEEE Conference on, pp.3332-3337, 2001.

M. Kendall and A. Stuart, The advanced theory of statistics Design and analysis, and time-series, 1976.

S. Kendall, A. Stuart, and J. Et-ord, Kendall's advanced theory of statistics, 1987.

F. Khemane, Estimation fréquentielle par modèle non entier et approche ensembliste -ApplicationàApplicationà la modélisation de la dynamique du conducteur, Thèse de doctorat, 2011.

B. Kilbas, A. Srivastava, H. Et-trujillo, and J. , Theory and Applications of fractional differential equations, 2006.

L. Lay and L. , Identification fréquentielle et temporelle par modèle non entier, Thèse de doctorat, 1998.

J. Lin, Modélisation et identification de systèmes d'ordre non entier, Thèse de doctorat, 2001.

L. Ljung, System identification, 1999.
URL : https://hal.archives-ouvertes.fr/hal-00854858

D. G. Luenberger, Introduction to linear and nonlinear programming, 1973.

K. Mahata and H. Et-garnier, Direct identification of continuous-time errorsin-variables models, Preprints of the 16th World Congress of the International Fedeartion of Automatic Control, pp.3-8, 2005.

K. Mahata and H. Et-garnier, Identification of continuous-time errors-in-variables models, Automatica, issue.7, pp.491470-1490, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00119875

K. Mahata and H. Et-garnier, Identification of continuous-time errors-in-variables models, Automatica, vol.42, issue.9, pp.1477-1490, 2006.
DOI : 10.1016/j.automatica.2006.04.012
URL : https://hal.archives-ouvertes.fr/hal-00119875

R. R. Malti, S. Victor, and A. Oustaloup, Advances in System Identification Using Fractional Models, Journal of Computational and Nonlinear Dynamics, vol.3, issue.2, 2008.
DOI : 10.1115/1.2833910
URL : https://hal.archives-ouvertes.fr/hal-00356798

I. Masato, K. Shunshoku, Y. Zi-jiang, and W. Et-kiyoshi, Identification of noisy input-output system using bias-compensated least-squares method, 2005.

D. Matignon, Stability properties for generalized fractional differential systems, ESAIM: Proceedings, vol.5, pp.145-158, 1998.
DOI : 10.1051/proc:1998004

P. Mccullagh, Tensor methods in statistics, 1987.

J. Mendel, Tutorial on high-order statistics (spectra) in signal processing and system theory : Theoretical results and some applications, pp.278-305, 1991.

B. Miller, K. Et-ross, and B. , Introduction to the Fractional Calculus and Fractional Differential Equations, 1993.

K. Oldham and J. Et-spanier, The fractional calculus, 1974.

A. Oustaloup, La dérivation nonentì ere : théorie, synthèse et applications, 1995.

I. Podlubny, Fractional differential equations, 1999.

C. Read, S. Kotz, and N. Et-johnson, Encyclopedia of Statistical Sciences, 1988.

O. Reiersøl, Identifiability of a Linear Relation between Variables Which Are Subject to Error, Econometrica, vol.18, issue.4, pp.375-389, 1950.
DOI : 10.2307/1907835

J. Sabatier, O. Agrawal, and J. Et-tenreiro-machado, Advances in Fractional Calculus : Theorical Developments and Application in Physics and Engineering, 2007.
DOI : 10.1007/978-1-4020-6042-7

S. Samko, A. Kilbas, and O. Et-marichev, Fractional integrals and derivatives : theory and applications, 1993.

T. Söderström, Errors-in-variables methods in system identification, 14th IFAC Sympsuim on System Identification, pp.1-19, 2006.

T. Söderström, E. K. Larsson, K. Mahata, and M. Et-mossberg, USING CONTINUOUS-TIME MODELING FOR ERRORS-IN-VARIABLES IDENTIFICATION, 14th IFAC Symposium on System Identification, pp.428-433, 2006.
DOI : 10.3182/20060329-3-AU-2901.00064

T. Söderström, Identification of stochastic linear systems in presence of input noise, Automatica, vol.17, issue.5, pp.713-725, 1981.
DOI : 10.1016/0005-1098(81)90018-2

T. Söderström, Accuracy analysis of the frisch estimates for identifying errorsin-variables systems, Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC'05. 44th IEEE Conference on, pp.4281-4286, 2005.

T. Söderström, Errors-in-variables methods in system identification, 2007.

T. Söderström, Extending the Frisch scheme for errors-in-variables identification to correlated output noise, International Journal of Adaptive Control and Signal Processing, vol.19, issue.1, pp.55-73, 2008.
DOI : 10.1002/acs.961

B. Söderström and T. , A generalized instrumental variable estimation method for errors-in-variables identification problems, Automatica, vol.47, issue.8, pp.471656-1666, 2011.
DOI : 10.1016/j.automatica.2011.05.010

T. Söderström and K. Et-mahata, On instrumental variable and total least squares approaches for identification of noisy systems, International Journal of Control, vol.75, issue.6, pp.381-389, 2002.
DOI : 10.1016/0005-1098(70)90098-1

T. Söderström and P. Et-stoica, System Identification, Series in Systems and Control Engeneering, 1989.
DOI : 10.1115/1.2899207

B. Solaiman, Processus stochastiques pour l'ingénieur, 2006.

V. Solo, Identifiability of time series models with errors in variables, Journal of Applied Probability, pp.63-71, 1986.

K. Steiglitz and L. Et-mcbride, A technique for the identification of linear systems, IEEE Transactions on Automatic Control, vol.10, issue.4, pp.461-464, 1965.
DOI : 10.1109/TAC.1965.1098181

A. Stuart and J. Et-ord, Kendall's advanced theory of statistics, 1994.

S. Thil, ContributionsàContributionsà l'identification de modèles avec des erreurs en les variables, Thèse de doctorat, 2007.

S. Thil and M. Gilson, Survey of analytical IV estimates for errors-in-variables model identification, 18th IFAC World Congress, IFAC WC'2011, pp.13098-13103, 2011.
DOI : 10.3182/20110828-6-IT-1002.02752
URL : https://hal.archives-ouvertes.fr/hal-00691860

S. Thil, M. Gilson, and H. Garnier, On instrumental variable-based methods for errors-in-variables model identification, 17th IFAC World Congress, pp.426-431, 2008.
DOI : 10.3182/20080706-5-KR-1001.00072
URL : https://hal.archives-ouvertes.fr/hal-00261403

S. Thill, ContributionsàContributionsà l'identification de modèles avec des erreurs en les variables, Thèse de doctorat, 2007.

J. Trigeassou, N. Maamri, J. Sabatier, and A. Et-oustaloup, A Lyapunov approach to the stability of fractional differential equations, Signal Processing, vol.91, issue.3, pp.91-437, 2011.
DOI : 10.1016/j.sigpro.2010.04.024
URL : https://hal.archives-ouvertes.fr/hal-00585448

J. Tugnait, Stochastic system identification with noisy input using cumulant statistics. Automatic Control, IEEE Transactions on, vol.37, issue.4, pp.476-485, 1992.

B. Victor and S. , Identification par Modéle Non Entier pour la Poursuite Robuste de Trajectoire par Platitude, Thèse de doctorat, 2010.

S. Victor, R. Malti, H. Garnier, and A. Et-oustaloup, Parameter and differentiation order estimation in fractional models, Automatica, vol.49, issue.4, 2013.
DOI : 10.1016/j.automatica.2013.01.026
URL : https://hal.archives-ouvertes.fr/hal-00804784

Z. Yang, S. Sagara, and K. Et-wada, Identification of continuous-time systems from sampled input-output data using bias eliminating techniques, Control Theory and Advanced Technology, vol.9, issue.1, pp.53-75, 1993.

P. Young, Parameter estimation for continuous-time models???A survey, Automatica, vol.17, issue.1, pp.23-39, 1981.
DOI : 10.1016/0005-1098(81)90082-0

P. Young, Parameter estimation for continuous-time models???A survey, Automatica, vol.17, issue.1, 1981.
DOI : 10.1016/0005-1098(81)90082-0

Z. Zhao, S. Sagara, and K. Et-wada, Bias-compensating least squares method for identification of continuous-time systems from sampled data, International Journal of Control, vol.57, issue.2, pp.445-461, 1991.
DOI : 10.1016/0005-1098(81)90082-0

W. Zheng, Transfer function estimation from noisy input and output data, International Journal of Adaptive Control and Signal Processing, vol.12, issue.4, pp.365-380, 1998.
DOI : 10.1002/(SICI)1099-1115(199806)12:4<365::AID-ACS496>3.0.CO;2-A

W. Zheng, On least-squares identification of stochastic linear systems with noisy input-output data, International Journal of Adaptive Control and Signal Processing, vol.12, issue.3, pp.131-143, 1999.
DOI : 10.1002/(SICI)1099-1115(199905)13:3<131::AID-ACS535>3.0.CO;2-0

W. Zheng, Unbiased identification of stochastic linear systems from noisy input and output measurements, Decision and Control Proceedings of the 39th IEEE Conference on Decison and Controls, pp.2710-2715, 2000.

W. Zheng, A bias correction method for identification of linear dynamic errorsin-variables models. Automatic Control, IEEE Transactions on Automatic Control, issue.7, pp.471142-1147, 2002.

M. N. Najar, A. Abdelkrim, and . Oustaloup, Continuous-time system identification with fractional models from noisy input/output measurements using third-order cumulants, International Journal of Transactions on Signals Systems and Devices, 2012.

M. N. Najar, A. Abdelkrim, and . Oustaloup, New consistent methods for order and coefficient estimation of continuous-time errors-in-variables fractional models, A3] : Manel Chetoui, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00869310

N. Abdelkrim and A. Oustaloup, Continuous-time system identification with fractional models from noisy input and output data using fourth-order cumulants Online identification of fractional linear systems Third-order cumulants based method for, on Signals Systems and Devices (TSSD), Sheker-Verlag. (Accepté) Communications dans des conférences Internationales avec actes et comité de lecture [C1] Mohamed Aoun, Manel Chetoui , Slaheddine Najar et Mohamed Naceur Abdelkrim 11th International conference on Sciences and Techniques of Automatic control and computer engineering, STA2010. [C2] Manel Chetoui, 2013.

. Bibliographie, auteur time errors-in-variables system identification by fractional models, 8th International Multi-Conference on Systems, Signals and Devices, SSD2011, pp.1-6

A. Najar, M. N. Oustaloup, and . Abdelkrim, EIV methods for system identification with fractional models, 16th IFAC Symposium on System Identification, SYSID2012, pp.1641-1646
URL : https://hal.archives-ouvertes.fr/hal-00751748

A. Najar, M. N. Oustaloup, and . Abdelkrim, Higher-order statistics-based methods for order and parameter estimation of continuous-time errors-in-variables fractional models, 5th symposium on Fractional Differentiation and its Applications, FDA2012. [C5] Manel Chetoui
URL : https://hal.archives-ouvertes.fr/hal-00762988

A. Aoun, M. N. Oustaloup, and . Abdelkrim, Fourth-order cumulants based method for continuous-time EIV fractional model identification, 10th International Multi-Conference on Systems, Signals and Devices, SSD2013. IEEE. [C6] Manel Chetoui
URL : https://hal.archives-ouvertes.fr/hal-00869313

N. Abdelkrim and A. Oustaloup, Comparative study of two fourth-order cumulants based methods for continuous-time EIV fractional model identification, European Control Conference, p.2014