Lyapunov stability and performance analysis of the implicit discrete sliding mode control, IEEE Transactions on Automatic Control, vol.61, issue.10, pp.3016-3030, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01236159
Sliding Modes in Control Optimization, 1992. ,
On fixed and finite time stability in sliding mode control, IEEE Conference on Decision and Control, pp.4260-4265, 2013. ,
Chattering-free digital slidingmode control with state observer and disturbance rejection, IEEE Transactions on Automatic Control, vol.57, issue.5, pp.1087-1101, 2012. ,
URL : https://hal.archives-ouvertes.fr/inria-00494417
Proxybased sliding mode control: A safer extension of pid position control, IEEE Transactions on Robotics, vol.26, issue.4, pp.670-683, 20110. ,
Recent Trends in Sliding Mode Control. IET, London, 2016, ch. Experimental results on implicit and explicit time-discretization of equivalent control-based sliding mode control, pp.207-235 ,
On systems of ordinary differential equations with generalized homogenous right-hand sides, Izvestia vuzov. Mathematica (in Russian), vol.1, pp.80-88, 1958. ,
Nilpotent approximations of control systems and distributions, SIAM Journal of Control and Optimization, vol.24, issue.4, p.731, 1986. ,
Etude de quelquesprobì emes de stabilization, 1993. ,
On homogeneous distributed parameters equations, IEEE Transactions on Automatic Control, vol.61, issue.11, pp.3657-3662, 2016. ,
Geometric homogeneity and stabilization, Proc. IFAC Nonlinear Control Symposium, pp.164-169, 1995. ,
Homogeneous Lyapunov function for homogeneous continuous vector field, Systems & Control Letters, vol.19, pp.467-473, 1992. ,
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
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
Finite-time and fixedtime stabilization: Implicit Lyapunov function approach, Automatica, vol.51, issue.1, pp.332-340, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01098099
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. ,
Homogeneity approach to high-order sliding mode design, Automatica, vol.41, issue.5, pp.823-830, 2005. ,
A note on delay robustness for homogeneous systems with negative degree, Automatica, vol.79, issue.5, pp.178-184, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01419131
Time-varying exponential stabilization of nonholonomic systems in power form, Inria, RR-2126, 1993. ,
URL : https://hal.archives-ouvertes.fr/inria-00074546
Geometric homogeneity with applications to finite-time stability, Mathematics of Control, Signals and Systems, vol.17, pp.101-127, 2005. ,
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
Consistent discretization of finite-time and fixed-time stable systems, SIAM Journal of Control and Optimization, vol.57, issue.1, pp.78-103, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01838712
Quadratic-like stabilizability of homogeneous systems, Proc. Conference on Decision and Control, pp.577-582, 2017. ,
Consistent discretization of finite-time stable homogeneous systems, 15th International Workshop on Variable Structure Systems and Sliding Mode Control, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01794386
, Differential Equations with Discontinuous Right-hand Sides, 1988.
Stability notions and Lyapunov functions for sliding mode control systems, Journal of The Franklin Institute, vol.351, issue.4, pp.1831-1865, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00942319
On homogeneous finitetime 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
, Semigroups of Linear Operators and Applications to Partial Differential Equations, 1983.
On finite-time stabilization of evolution equations: A homogeneous approach, Conference on Decision and Control, pp.3143-3148, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01371089
Homogeneous state feedback stabilization of homogeneous systems, SIAM Journal of Control and Optimization, vol.38, issue.4, pp.1288-1308, 2000. ,
Oscillations conditions in homogenous systems, Proc. IFAC NOLCOS Symp, pp.1379-1384, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00561003
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