A. Bacciotti and L. Rosier, Lyapunov functions and stability in control theory, 2005.

E. Bernuau, A. Polyakov, D. Efimov, and W. Perruquetti, Verification of ISS, iISS and IOSS properties applying weighted homogeneity, Systems & Control Letters, vol.62, issue.12, pp.1159-1167, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00877148

S. P. Bhat and D. S. Bernstein, Finite-time stability of homogeneous systems, American Control Conference, vol.4, pp.2513-2514, 1997.

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

P. D. Christofides and A. R. Teel, Singular perturbations and input-to-state stability, IEEE Transactions on Automatic Control, vol.41, issue.11, pp.1645-1650, 1996.

E. Cruz-zavala and J. A. Moreno, Homogeneous high order sliding mode design: a Lyapunov approach, Automatica, vol.80, pp.232-238, 2017.

E. Cruz-zavala, T. Sanchez, J. A. Moreno, and E. Nufio, Strict Lyapunov functions for homogeneous finitetime second-order systems, 2018 IEEE Conference on Decision and Control (CDC), pp.1530-1535, 2018.

S. Dashkovskiy and M. Kosmykov, Input-to-state stability of interconnected hybrid systems, Automatica, vol.49, issue.4, pp.1068-1074, 2013.

S. Dashkovskiy, D. V. Efimov, and E. D. Sontag, Input to state stability and allied system properties. Automation and Remote Control, vol.72, pp.1579-1613, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00639491

D. Efimov, R. Ushirobira, J. A. Moreno, and W. Perruquetti, Homogeneous Lyapunov functions: From converse design to numerical implementation, SIAM Journal on Control and Optimization, vol.56, issue.5, pp.3454-3477, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01851761

Z. P. Jiang, A. R. Teel, and L. Praly, Small-gain theorem for ISS systems and applications, Mathematics of Control, Signals and Systems, vol.7, issue.2, pp.95-120, 1994.

Z. P. Jiang, I. M. Mareels, W. , and Y. , A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems, Automatica, vol.32, issue.8, pp.1211-1215, 1996.

A. I. Klimushchev and N. N. Krasovskii, Uniform asymptotic stability of systems of differential equations with a small parameter in the derivative terms, Journal of Applied Mathematics and Mechanics, vol.25, issue.4, pp.1011-1025, 1961.

P. Kokotovic, H. K. Khali, and J. Reilly, Singular perturbation methods in control: analysis and design, 1999.

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

A. Saberi and H. Khalil, Quadratic-type Lyapunov functions for singularly perturbed systems, IEEE Transactions on Automatic Control, vol.29, issue.6, pp.542-550, 1984.

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

A. B. Vasil'eva, V. F. Butuzov, and L. V. Kalachev, The Boundary Function Method for Singular Perturbed Problems, Society for Industrial and Applied Mathematics, vol.14, 1995.

V. I. Zubov, Methods of A.M. Lyapunov and their application, Popko Noordhoff, 1964.