W. Hahn, H. Hans, H. Hosenthien, and . Lehnigk, Theory and application of Lyapunov's direct method, 1963.

W. Hahn, Stability of motion, vol.138, 1967.

A. Bacciotti and L. Rosier, Liapunov functions and stability in control theory, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00139067

T. Yoshizawa, Stability theory by Lyapunov's second method, 1966.

A. Earl, N. Coddington, and . Levinson, Theory of ordinary differential equations. Tata McGraw-Hill Education, 1955.

E. Roxin, On finite stability in control systems, Rendiconti del Circolo Matematico di Palermo, vol.15, issue.3, pp.273-283, 1966.

V. I. Korobov, A general approach to synthesis problem, Doklady Academii Nauk SSSR, vol.248, pp.1051-1063, 1979.

P. Sanjay, D. Bhat, and . Bernstein, Finite-time stability of continuous autonomous systems, SIAM Journal on Control and Optimization, vol.38, issue.3, pp.751-766, 2000.

P. Sanjay, D. S. Bhat, and . Bernstein, Geometric homogeneity with applications to finite-time stability, Mathematics of Control, Signals and Systems, vol.17, issue.2, pp.101-127, 2005.

W. Perruquetti, T. Floquet, and E. Moulay, Finitetime observers: application to secure communication, IEEE Transactions on Automatic Control, vol.53, issue.1, pp.356-360, 2008.

E. Moulay and W. Perruquetti, Finite time stability of nonlinear systems, Proceedings. 42nd IEEE Conference on, vol.4, pp.3641-3646, 2003.

E. Moulay and W. Perruquetti, Finite time stability of differential inclusions, IMA Journal of Mathematical Control and Information, vol.22, issue.4, pp.465-475, 2005.

E. Moulay and W. Perruquetti, Finite time stability and stabilization of a class of continuous systems, Journal of Mathematical Analysis and Applications, vol.323, issue.2, pp.1430-1443, 2006.

E. Bernuau, D. Efimov, W. Perruquetti, and A. Polyakov, On homogeneity and its application in sliding mode control, Journal of the Franklin Institute, vol.351, issue.4, pp.1866-1901, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00942326

H. Varda-tepper, Finite time controllers, SIAM Journal on Control and Optimization, vol.24, issue.4, pp.760-770, 1986.

J. Coron, Control and nonlinearity. Number 136, 2007.

E. Bernuau, D. Efimov, W. Perruquetti, and A. Polyakov, On an extension of homogeneity notion for differential inclusions, Control Conference ECC, pp.2204-2209, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00801818

L. Rosier, Homogeneous Lyapunov function for homogeneous continuous vector field, Systems & Control Letters, vol.19, issue.6, pp.467-473, 1992.

A. Polyakov, D. Efimov, E. Fridman, and W. Perruquetti, On homogeneous distributed parameter systems, IEEE Transactions on Automatic Control, vol.61, issue.11, pp.3657-3662, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01318134

A. Levant, D. Efimov, A. Polyakov, and W. Perruquetti, Stability and robustness of homogeneous differential inclusions, Decision and Control (CDC), 2016 IEEE 55th Conference on, pp.7288-7293, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01371280

Y. Hong, Z. Jiang, and G. Feng, Finite-time input-to-state stability and applications to finite-time control. IFAC Proceedings Volumes, vol.41, pp.2466-2471, 2008.

A. Polyakov, Quadratic-like stability of nonlinear homogeneous systems, 56th IEEE Conference on Decision and Control, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01525252

A. Polyakov, J. Coron, and L. Rosier, On homogeneous finite-time control for linear evolution equation in Hilbert space, IEEE Transactions on Automatic Control, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01695475

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

A. Fedorovi? and F. , Differential equations with discontinuous righthand sides: control systems, vol.18, 2013.

A. Levant, Homogeneity approach to high-order sliding mode design, Automatica, vol.41, issue.5, pp.823-830, 2005.