Sliding Mode Control in Electro- Mechanical Systems Sliding mode control: theory and applications, 1998. ,
Sliding Mode Control in Engineering, 2002. ,
DOI : 10.1201/9780203910856
Homogeneity approach to high-order sliding mode design, Automatica, vol.41, issue.5, pp.823-830, 2005. ,
DOI : 10.1016/j.automatica.2004.11.029
Unified Lyapunov function for a finite-time stability analysis of relay second-order sliding mode control systems, IMA Journal of Mathematical Control and Information, vol.29, issue.4, pp.529-550, 2012. ,
DOI : 10.1093/imamci/dns007
On finite stability in control systems, Rendiconti del Circolo Matematico di Palermo, vol.XV, issue.3, pp.273-283, 1966. ,
DOI : 10.1007/BF02844106
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
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. ,
DOI : 10.1016/j.jmaa.2005.11.046
Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems, SIAM Journal on Control and Optimization, vol.43, issue.4, pp.1253-1271, 2005. ,
DOI : 10.1137/S0363012903425593
Lyapunov function design for finite-time convergence analysis: ???Twisting??? controller for second-order sliding mode realization, Automatica, vol.45, issue.2, pp.444-448, 2009. ,
DOI : 10.1016/j.automatica.2008.07.013
Constructive finite-time and fixed-time stabilization with application to high order sliding mode control, IEEE Transactions on Automatic Control, vol.conditionally accepted, 2013. ,
Finite-time stabilization and stabilizability of a class of controllable systems, Systems & Control Letters, vol.46, issue.4, pp.231-236, 2002. ,
DOI : 10.1016/S0167-6911(02)00119-6
Finite-Time Stability and Stabilization: State of the Art, Lecture Notes in Control and Information Sciences, vol.334, pp.23-41, 2006. ,
DOI : 10.1007/11612735_2
Strict Lyapunov Functions for the Super-Twisting Algorithm, IEEE Transactions on Automatic Control, vol.57, issue.4, pp.1035-1040, 2012. ,
DOI : 10.1109/TAC.2012.2186179
Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems, IEEE Transactions on Automatic Control, vol.57, issue.8, pp.2106-2110, 2012. ,
DOI : 10.1109/TAC.2011.2179869
URL : https://hal.archives-ouvertes.fr/hal-00757561
A general approach to synthesis problem, Doklady Academii Nauk SSSR, vol.248, pp.1051-1063, 1979. ,
Soft variable-structure controls: a survey, Automatica, vol.40, issue.11, pp.1821-1844, 2004. ,
DOI : 10.1016/j.automatica.2004.05.017
Finite-time Stabilization Using Implicit Lyapunov Function Technique, 9th Symposium on Nonlinear Control Systems, pp.4-6, 2013. ,
DOI : 10.3182/20130904-3-FR-2041.00043
URL : https://hal.archives-ouvertes.fr/hal-00844386
On systems of ordinary differential equations with generalized homogenous right-hand sides, Izvestia vuzov. Mathematica, vol.1, pp.80-88, 1958. ,
Nilpotent Approximations of Control Systems and Distributions, SIAM Journal on Control and Optimization, vol.24, issue.4, pp.731-736, 1986. ,
DOI : 10.1137/0324045
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
Generalized weighted homogeneity and state dependent time scale for linear controllable systems, Proceedings of the 36th IEEE Conference on Decision and Control, pp.4342-4347, 1997. ,
DOI : 10.1109/CDC.1997.649536
Stabilization of homogeneous systems using implicit control lyhapunov functions, 7th IFAC Symposium on Nonlinear Control Systems, pp.21-24, 2007. ,
Block control principle i, Automation and Remote Control, vol.51, issue.5, pp.601-609, 1990. ,
Differential equations with discontinuous right-hand side, 1988. ,
DOI : 10.1090/trans2/042/13
Nonlinear Control Systems, 1995. ,