V. Andrieu, L. Praly, A. , and A. , Homogeneous approximation, recursive observer design, and output feedback, SIAM Journal on Control and Optimization, vol.47, issue.4, pp.1814-1850, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00362707

E. Bernuau, D. Efimov, W. Perruquetti, and A. Polyakov, On homogeneity and its application in sliding mode control, Special Issue on 2010-2012 Advances in Variable Structure Systems and Sliding Mode Algorithms, vol.351, pp.1866-1901, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00942326

S. P. Bhat and D. S. Bernstein, Geometric homogeneity with applications to finite-time stability. Mathematics of Control, Signals and Systems, vol.17, pp.101-127, 2005.

S. A. Billings, Identification of nonlinear systems-a survey, IEEE Proceedings D-Control Theory and Applications, vol.127, pp.272-285, 1980.

I. Chairez, Adaptive neural network nonparametric identifier with normalized learning laws, IEEE transactions on neural networks and learning systems, vol.28, pp.1216-1227, 2017.

G. Cybenko, Approximation by superpositions of a sigmoidal function, vol.2, pp.303-314, 1989.

P. Diaconis and M. Shahshahani, On nonlinear functions of linear combinations, SIAM Journal on Scientific and Statistical Computing, vol.5, issue.1, pp.175-191, 1984.

D. Efimov and A. Fradkov, Design of impulsive adaptive observers for improvement of persistency of excitation, International Journal of Adaptive Control and Signal Processing, vol.29, issue.6, pp.765-782, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01016332

L. Grüne, Homogeneous state feedback stabilization of homogenous systems, SIAM Journal on Control and Optimization, vol.38, issue.4, pp.1288-1308, 2000.

R. Haber and L. Keviczky, Nonlinear system identification-Input-output modeling approach, 1999.

S. Haykin, Neural networks: a comprehensive foundation, 1994.

H. Hermes, Nilpotent approximations of control systems and distributions, SIAM journal on control and optimization, vol.24, issue.4, pp.731-736, 1986.

H. Hermes, Homogeneous feedback controls for homogeneous systems, Systems & Control Letters, vol.24, issue.1, pp.7-11, 1995.

K. Hornik, M. Stinchcombe, and H. White, Multilayer feedforward networks are universal approximators, Neural networks, vol.2, issue.5, pp.359-366, 1989.

S. Hubbert, Radial basis function interpolation on the sphere, 2002.

B. Igelnik and Y. H. Pao, Stochastic choice of basis functions in adaptive function approximation and the functional-link net, IEEE Transactions on Neural Networks, vol.6, issue.6, pp.1320-1329, 1995.

S. Jagannathan and F. L. Lewis, Identification of nonlinear dynamical systems using multilayered neural networks, Automatica, vol.32, issue.12, pp.1707-1712, 1996.

C. Join, H. Sira-ramírez, and M. Fliess, Control of an uncertain three-tank system via on-line parameter indentification and fault detection, IFAC Proceedings Volumes, vol.38, pp.251-256, 2005.

M. Kawski, Geometric homogeneity and stabilization, Nonlinear Control Systems Design, pp.147-152, 1995.

V. V. Khomenuk, Izvestiya Vuzov, Matematika, vol.3, pp.157-164, 1961.

A. Levant, Homogeneity approach to high-order sliding mode design, Automatica, issue.5, pp.823-830, 2005.

F. Lewis, S. Jagannathan, Y. , and A. , Neural network control of robot manipulators and non-linear systems, 1998.

L. Ljung, Some aspects on nonlinear system identification, 14th IFAC Symposium on Identification and System Parameter Estimation, vol.39, pp.553-564, 2006.

O. Nelles, Nonlinear system identification: from classical approaches to neural networks and fuzzy models, 2013.

Y. Orlov, Finite time stability and robust control synthesis of uncertain switched systems, SIAM Journal on Control and Optimization, vol.43, issue.4, pp.1253-1271, 2005.

A. Polyakov, D. Efimov, E. Fridman, and W. Perruquetti, On homogeneous distributed parameter systems, IEEE Transactions on Automatic Control, issue.11, pp.3657-3662, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01318134

A. Polyakov, Sliding mode control design using canonical homogeneous norm, International Journal of Robust and Nonlinear Control, issue.0, p.0, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01697797

J. B. Pomet and C. Samson, Time-varying exponential stabilization of nonholonomic systems in power form, 1993.
URL : https://hal.archives-ouvertes.fr/inria-00074546

A. S. Poznyak, E. N. Sanchez, Y. , and W. , Differential neural networks for robust nonlinear control: identification, state estimation and trajectory tracking, 2001.

R. Seydou, T. Raissi, A. Zolghadri, and D. Efimov, Actuator fault diagnosis for flat systems: a constraint satisfaction approach, International Journal of Applied Mathematics and Computer Science, vol.23, issue.1, pp.171-181, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00694775

E. D. Sontag, Some topics in neural networks and control, Proceedings of the European Control Conference, 1993.

K. Zimenko, D. Efimov, A. Polyakov, and W. Perruquetti, A note on delay robustness for homogeneous systems with negative degree, Automatica, vol.79, pp.178-184, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01419131

V. Zubov, On systems of ordinary differential equations with generalized homogenous right-hand sides, Izvestiya Vuzov, Matematika, vol.1, issue.2, pp.80-88, 1958.