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

Y. Orlov, Finite time stability and robust control synthesis of uncertain switched systems, SIAM Journal of Control and Optimization, vol.43, issue.4, pp.1253-1271, 2005.

A. Polyakov, D. Efimov, E. Fridman, and W. Perruquetti, On homogeneous distributed parameters equations, IEEE Transactions on Automatic Control, vol.61, issue.11, pp.3657-3662, 2016.

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

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

Y. Hong, H? control, stabilization, and input-output stability of nonlinear systems with homogeneous properties, Automatica, vol.37, issue.6, pp.819-829, 2001.

W. Siyuan, A. Polyakov, and G. Zheng, Finite-time LMI based quadrotor control design under time and state constraints, 2019 IEEE Annual European Control Conference (ECC), 2019.

F. Chernous'-ko, I. Ananievski, and S. Reshmin, Control of nonlinear dynamical systems: methods and applications, 2008.

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

W. Perruquetti, T. Floquet, and E. Moulay, Finite-time observers: application to secure communication, IEEE Transactions on Automatic Control, vol.53, issue.1, pp.356-360, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00176758

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

J. Coron and L. Praly, Adding an integrator for the stabilization problem, Systems & Control Letters, vol.17, issue.2, pp.89-104, 1991.

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.

I. Boiko, Non-parametric Tuning og PID Controllers, 2013.

E. D. Sontag, Nonlinear and Optimal Control Theory, chapter Input to state stability: Basic concepts and results, pp.163-220, 2007.

V. I. Utkin, Sliding Modes in Control Optimization, 1992.

F. Lopez-ramirez, A. Polyakov, D. Efimov, and W. Perruquetti, Finite-time and fixed-time observer design: Implicit Lyapunov function approach, Automatica, vol.87, issue.1, pp.52-60, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01622356

A. Polyakov, D. Efimov, and W. Perruquetti, Robust stabilization of mimo systems in finite/fixed time, International Journal of Robust and Nonlinear Control, vol.26, issue.1, pp.69-90, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01160052

R. Izmailov, The peak effect in stationary linear-systems with multivariate inputs and outputs. Automation and Remote Control, vol.49, pp.40-47, 1988.

A. Polyakov, J. Coron, and L. Rosier, On homogeneous finite-time control for linear evolution equation in Hilbert space, IEEE Transactions on Automatic Control, vol.63, issue.9, pp.3143-3150, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01695475

A. Mercado-uribe, J. Moreno, A. Polyakov, and D. Efimov, Integral control design using the implicit lyapunov function approach, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02371919

V. V. Khomenuk, On systems of ordinary differential equations with generalized homogenous right-hand sides. Izvestia vuzov, Mathematica (in Russian, vol.3, issue.22, pp.157-164, 1961.

M. Kawski, Geometric homogeneity and stabilization, Proc. IFAC Nonlinear Control Symposium, pp.164-169, 1995.

L. Rosier, Etude de quelques problèmes de stabilization, 1993.

A. Pazy, Semigroups of linear operators and applications to partial differential equations, vol.44, 2012.

A. Polyakov, Sliding mode control design using canonical homogeneous norm, International Journal of Robust and Nonlinear Control, vol.29, issue.3, pp.682-701, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01697797

D. Efimov and W. Perruquetti, Homogeneity for time-delay systems, IFAC Proceedings Volumes, vol.44, pp.3861-3866, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00628890

A. Bacciotti and L. Rosier, Lyapunov Functions and Stability in Control Theory, 2001.

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

H. Nakamura, Y. Yamashita, and H. Nishitani, Smooth lyapunov functions for homogeneous differential inclusions, Proceedings of the 41st SICE Annual Conference, pp.1974-1979, 2002.

K. Zimenko, A. Polyakov, D. Efimov, and W. Perruquetti, Robust feedback stabilization of linear MIMO systems using generalized homogenization, IEEE Transactions on Automatic Control, 2020.
URL : https://hal.archives-ouvertes.fr/hal-02614543

W. M. Wonham, Linear Multivariable Control: A Geometric Approach, 1985.

A. Filippov, Differential equations with discontinuous righthand sides, 1988.

A. Levant, Sliding order and sliding accuracy in sliding mode control, International Journal of Control, vol.58, issue.6, pp.1247-1263, 1993.

J. , L. Salle, and S. Lefschetz, Stability by Liapunov's Direct Method with Applications, 1961.

Y. Orlov, Discontinuous systems: Lyapunov analysis and robust synthesis under uncertainty conditions, 2008.

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

D. Liberzon, Switching in systems and control, 2003.

A. Polyakov, D. Efimov, and B. Brogliato, Consistent discretization of finite-time and fixed-time stable systems, SIAM Journal on Control and Optimization, vol.57, issue.1, pp.78-103, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01838712

S. Bouabdallah, Design and control of quadrotors with application to autonomous flying, 2007.

S. Bouabdallah and R. Siegwart, Full control of a quadrotor, IEEE/RSJ International Conference on Intelligent Robots and Systems, pp.153-158, 2007.