S. P. Bhat and D. S. Bernstein, Finite time stability of continuous autonomous systems, SIAM J. Control Optim, vol.38, issue.3, pp.751-766, 2000.

V. Andrieu, L. Praly, and A. Astolfi, Homogeneous Approximation, Recursive Observer Design, and Output Feedback, SIAM J. Control Optimization, vol.47, issue.4, pp.1814-1850, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00362707

E. Cruz-zavala, J. Moreno, and L. Fridman, Uniform robust exact differentiator, IEEE Transactions on Automatic Control, vol.56, issue.11, pp.2727-2733, 2011.

A. Polyakov, Nonlinear feedback design for fixed-time stabilization of linear control systems, IEEE Transactions on Automatic Control, vol.57, issue.8, pp.2106-2110, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00757561

E. D. Sontag and Y. Wang, On characterizations of the input-to-state stability property, Systems & Control Letters, vol.24, issue.5, pp.351-359, 1995.

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

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.

J. Adamy, Implicit lyapunov functions and isochrones of linear systems, IEEE Transactions on Automatic Control, vol.50, issue.6, pp.874-879, 2005.

A. Polyakov, D. Efimov, and W. Perruquetti, Finite-time and fixedtime stabilization: Implicit Lyapunov function approach, Automatica, vol.51, pp.332-340, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01098099

F. Lopez-ramirez, A. Polyakov, D. Efimov, and W. Perruquetti, Finite-time and fixed-time observer design: Implicit lyapunov function approach, Automatica, vol.87, pp.52-60, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01622356

H. Nakamura, N. Nakamura, and H. Nishitani, Stabilization of homogeneous systems using implicit control lyapunov functions, IFAC Proceedings Volumes, vol.40, pp.1120-1125, 2007.

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

H. K. Khalil, Nonlinear Systems, ser. NJ 07458, 1996.

Y. Lin, E. D. Sontag, and Y. Wang, A smooth converse Lyapunov theorem for robust stability, SIAM J. Control Optim, vol.34, issue.1, pp.124-160, 1996.

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.

R. Courant and F. John, Introduction to calculus and analysis I, 2012.