D. J. Hill and P. J. Moylan, Dissipative Dynamical Systems: Basic Input-Output and State Properties, Journal of the Franklin Institute, vol.309, issue.5, pp.327-357, 1980.
DOI : 10.1016/0016-0032(80)90026-5

A. Van and . Schaft, L 2 -gain and passivity techniques in nonlinear control, Lecture Notes in Control and Information Sciences, vol.218, 1996.

E. D. Sontag, The ISS philosophy as a unifying framework for stability-like behavior, " in Nonlinear control in the year 2000, Lecture Notes in Control and Inform. Sci, vol.2, issue.259, pp.443-467, 2001.

M. Vidyasagar, Input-output analysis of large-scale interconnected systems, Lecture Notes in Control and Information Sciences, vol.29, 1981.
DOI : 10.1007/BFb0044060

J. C. Willems, Dissipative dynamical systems part I: General theory, Archive for Rational Mechanics and Analysis, vol.34, issue.No. 4, pp.321-351, 1972.
DOI : 10.1007/BF00276493

E. D. Sontag, Smooth stabilization implies coprime factorization, IEEE Transactions on Automatic Control, vol.34, issue.4, pp.435-443, 1989.
DOI : 10.1109/9.28018

S. Dashkovskiy, D. Efimov, and E. Sontag, Input to state stability and allied system properties, Automation and Remote Control, vol.72, issue.8, pp.1579-1614, 2011.
DOI : 10.1134/S0005117911080017

URL : https://hal.archives-ouvertes.fr/hal-00639491

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

M. Kawski, Nilpotent Lie algebras of vector fields, J. reine angew. Math, issue.1, 1988.

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

H. Hermes, Homogeneous feedback controls for homogeneous systems, Systems & Control Letters, vol.24, issue.1, pp.7-11, 1995.
DOI : 10.1016/0167-6911(94)00035-T

R. Sepulchre and D. Aeyels, Stabilizability Does Not Imply Homogeneous Stabilizability for Controllable Homogeneous Systems, SIAM Journal on Control and Optimization, vol.34, issue.5, pp.1798-1813, 1996.
DOI : 10.1137/S0363012994267303

L. Grüne, Homogeneous state feedback stabilization of homogeneous systems, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), pp.1288-1314, 2000.
DOI : 10.1109/CDC.2000.912230

S. Bhat and D. 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. 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.2882-2885, 2010.
DOI : 10.1109/TAC.2010.2076334

A. Aleksandrov, A. Kosov, and A. Platonov, On the asymptotic stability of switched homogeneous systems, Systems & Control Letters, vol.61, issue.1, pp.127-133, 2012.
DOI : 10.1016/j.sysconle.2011.10.008

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

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

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

Y. Hong, H??? control, stabilization, and input???output stability of nonlinear systems with homogeneous properties, Automatica, vol.37, issue.6, pp.819-829, 2001.
DOI : 10.1016/S0005-1098(01)00027-9

E. Ryan, Universal stabilization of a class of nonlinear systems with homogeneous vector fields, Systems & Control Letters, vol.26, issue.3, pp.177-184, 1995.
DOI : 10.1016/0167-6911(95)00013-Y

A. Bacciotti and L. Rosier, Lyapunov Functions and Stability in Control Theory, 2005.

H. Hermes, Nilpotent Approximations of Control Systems and Distributions, SIAM Journal on Control and Optimization, vol.24, issue.4, p.731, 1986.
DOI : 10.1137/0324045

C. Ning, Y. He, M. Wu, Q. Liu, and J. She, Input-to-state stability of nonlinear systems based on an indefinite Lyapunov function, Systems & Control Letters, vol.61, issue.12, pp.1254-1259, 2012.
DOI : 10.1016/j.sysconle.2012.08.009

S. Bhat and D. Bernstein, Finite-Time Stability of Continuous Autonomous Systems, SIAM Journal on Control and Optimization, vol.38, issue.3, pp.751-766, 2000.
DOI : 10.1137/S0363012997321358

E. Moulay and W. Perruquetti, Lyapunov-based approach for finite time stability and stabilization, Proceedings of the 44th IEEE Conference on Decision and Control, pp.4742-4747, 2005.
DOI : 10.1109/CDC.2005.1582911

Y. Hong, Z. Jiang, and G. Feng, Finite-Time Input-to-State Stability and Applications to Finite-Time Control Design, SIAM Journal on Control and Optimization, vol.48, issue.7, pp.4395-4418, 2010.
DOI : 10.1137/070712043

E. Bernuau, W. Perruquetti, D. Efimov, and E. Moulay, Finite-time output stabilization of the double integrator, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), pp.5906-5911, 2012.
DOI : 10.1109/CDC.2012.6426565

URL : https://hal.archives-ouvertes.fr/hal-01056207

W. Perruquetti and S. Drakunov, Finite time stability and stabilisation, IEEE Conference on Decision and Control, pp.1894-1899, 2000.

S. P. Bhat and D. Bernstein, Continuous finite-time stabilization of the translational and rotational double integrators, IEEE Transactions on Automatic Control, vol.43, issue.5, pp.678-682, 1998.
DOI : 10.1109/9.668834