A. Yu, A. P. Aleksandrov, and . Zhabko, On the asymptotic stability of solutions of nonlinear systems with delay, Siberian Mathematical Journal, vol.53, issue.3, pp.393-403, 2012.

V. Andrieu, L. Praly, and A. Astolfi, Homogeneous Approximation, Recursive Observer Design, and Output Feedback, SIAM Journal on Control and Optimization, vol.47, issue.4, pp.1814-1850, 2008.
DOI : 10.1137/060675861

URL : https://hal.archives-ouvertes.fr/hal-00362707

F. M. Asl and A. G. Ulsoy, Analytical solution of a system of homogeneous delay differential equations via the Lambert function, Proc. American Control Conference, pp.2496-2500, 2000.

A. Bacciotti and L. Rosier, Liapunov Functions and Stability in Control Theory, Lecture Notes in Control and Inform. Sci. Springer, vol.267, 2001.
DOI : 10.1007/b139028

URL : https://hal.archives-ouvertes.fr/hal-00139067

E. Bernuau, A. Polyakov, D. Efimov, and W. Perruquetti, On iss and iiss properties of homogeneous systems, Proc. European Control Conference (ECC) 2013, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00801817

D. Efimov, W. Bernuau, A. Perruquetti, and . Polyakov, On homogeneity and its application in sliding mode, International Journal of Franklin Institute, vol.351, issue.4, 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, issue.2, pp.101-127, 2005.
DOI : 10.1007/s00498-005-0151-x

V. S. Bokharaie, O. Mason, and M. Verwoerd, D-Stability and Delay-Independent Stability of Homogeneous Cooperative Systems, IEEE Transactions on Automatic Control, vol.55, issue.12, pp.552882-2885, 2010.
DOI : 10.1109/TAC.2010.2076334

J. Chiasson and J. J. Loiseau, Applications of Time Delay Systems, Lecture Notes in Control and Information Sciences, vol.352, 2007.
DOI : 10.1007/978-3-540-49556-7

]. J. Diblik, Asymptotic equilibrium for homogeneous delay linear differential equations with l-perturbation term, Nonlinear Analysis: Theory, Methods & Applications, vol.30, issue.6, pp.3927-3933, 1997.
DOI : 10.1016/S0362-546X(96)00330-6

D. Efimov and W. Perruquetti, Oscillations Conditions in Homogenous Systems, 8th IFAC Symposium on Nonlinear Control Systems, pp.1379-1384, 2010.
DOI : 10.3182/20100901-3-IT-2016.00101

URL : https://hal.archives-ouvertes.fr/hal-00561003

D. Efimov and W. Perruquetti, HOMOGENEITY FOR TIME-DELAY SYSTEMS, Proc. IFAC WC 2011, 2011.
DOI : 10.3182/20110828-6-IT-1002.03195

URL : https://hal.archives-ouvertes.fr/hal-00628890

D. Efimov, W. Perruquetti, and M. Petreczky, On necessary conditions of instability and design of destabilizing controls, 53rd IEEE Conference on Decision and Control
DOI : 10.1109/CDC.2014.7039997

URL : https://hal.archives-ouvertes.fr/hal-01066282

D. Efimov, W. Perruquetti, and J. Richard, Development of Homogeneity Concept for Time-Delay Systems, SIAM Journal on Control and Optimization, vol.52, issue.3, pp.1403-1808, 2014.
DOI : 10.1137/130908750

URL : https://hal.archives-ouvertes.fr/hal-00956878

D. Efimov, A. Polyakov, W. Perruquetti, and J. Richard, Weighted Homogeneity for Time-Delay Systems: Finite-Time and Independent of Delay Stability, IEEE Transactions on Automatic Control, vol.61, issue.1, pp.210-215, 2016.
DOI : 10.1109/TAC.2015.2427671

URL : https://hal.archives-ouvertes.fr/hal-01145321

D. V. Efimov and W. Perruquetti, Oscillations Conditions in Homogenous Systems, Proc. NOLCOS'10, pp.1379-1384, 2010.
DOI : 10.3182/20100901-3-IT-2016.00101

URL : https://hal.archives-ouvertes.fr/hal-00561003

T. Erneux, Applied Delay Differential Equations, 2009.

K. Gu, K. L. Kharitonov, and J. Chen, Stability of Time- Delay Systems, Control Engineering. Birkhäuser, 2003.
DOI : 10.1007/978-1-4612-0039-0

URL : https://hal.archives-ouvertes.fr/hal-00664367

J. K. Hale, Theory of Functional Differential Equations, 1977.
DOI : 10.1007/978-1-4612-9892-2

C. Join, H. Sira-ramirez, and M. Fliess, CONTROL OF AN UNCERTAIN THREE-TANK SYSTEM VIA ON-LINE PARAMETER IDENTIFICATION AND FAULT DETECTION, IFAC Proceedings Volumes, vol.38, issue.1, 2005.
DOI : 10.3182/20050703-6-CZ-1902.01844

M. Kawski, Homogeneous feedback stabilization, volume 7 of Progress in systems and control theory: New trends in systems theory, Birkhäuser, 1991.

V. B. Kolmanovsky and V. R. Nosov, Stability of functional differential equations. CA: Academic, 1986.

A. Levant, Homogeneity approach to high-order sliding mode design, Automatica, vol.41, issue.5, pp.823-830, 2005.
DOI : 10.1016/j.automatica.2004.11.029

A. Levant, Robustness of Homogeneous Sliding Modes to Relative Degree Fluctuations, 6th IFAC Symposium on Robust Control Design, pp.167-172, 2009.
DOI : 10.3182/20090616-3-IL-2002.00029

]. A. Levant, Homogeneity of differential inclusions: Application to sliding modes, 2015 European Control Conference (ECC), pp.2458-2463, 2015.
DOI : 10.1109/ECC.2015.7330907

M. Livne and A. Levant, Accuracy of disturbed homogeneous sliding modes. The 13th Scientific Workshop VSS13, pp.1-1, 2014.

F. Mazenc, S. Mondie, and S. Niculescu, Global asymptotic stabilization for chains of integrators with a delay in the input, Proc. 40th IEEE Conference on Decision and Control, pp.1843-1848, 2001.

E. Moulay, M. Dambrine, N. Yeganefar, and W. Perruquetti, Finite-time stability and stabilization of time-delay systems, Systems & Control Letters, vol.57, issue.7, pp.561-566, 2008.
DOI : 10.1016/j.sysconle.2007.12.002

URL : https://hal.archives-ouvertes.fr/inria-00344524

J. Richard, Time-delay systems: an overview of some recent advances and open problems, Automatica, vol.39, issue.10, pp.1667-1694, 2003.
DOI : 10.1016/S0005-1098(03)00167-5

L. Rosier, Homogeneous Lyapunov function for homogeneous continuous vector field, Systems & Control Letters, vol.19, issue.6, pp.467-473, 1992.
DOI : 10.1016/0167-6911(92)90078-7

R. Seydou, T. Raissi, 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.
DOI : 10.2478/amcs-2013-0014

URL : https://hal.archives-ouvertes.fr/hal-00694775

V. I. Zubov, On systems of ordinary differential equations with generalized homogenous right-hand sides. Izvestia vuzov, Mathematica, vol.1, pp.80-88, 1958.