Homogeneous Approximation, Recursive Observer Design, and Output Feedback, SIAM Journal on Control and Optimization, vol.47, issue.4, pp.1814-1850, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00362707
Verification of ISS, iISS and IOSS properties applying weighted homogeneity. Systems & Control Letters, vol.62, pp.1159-1167, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00877148
The implicit discretization of the super-twisting slidingmode control algorithm, 15th Int. Workshop on Variable Structure Systems (VSS), pp.349-353, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02336599
, Lyapunov functions for continuous and discontinuous differentiators. IFAC-PapersOnLine, vol.49, pp.660-665, 2016.
Realization and Discretization of Asymptotically Stable Homogeneous Systems, IEEE Transactions on Automatic Control, vol.62, issue.11, pp.5962-5969, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01514350
Weighted Homogeneity for Time-Delay Systems: Finite-Time and Independent of Delay Stability, IEEE Transactions on Automatic Control, vol.61, issue.1, pp.210-215, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01145321
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
Discretization of homogeneous systems using Euler method with a state-dependent step, Automatica, vol.109, p.108546, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02164050
Sampling and Sampled-Data Models: The Interface Between the Continuous World and Digital Algorithms, IEEE Control Systems Magazine, vol.33, issue.5, pp.34-53, 2013. ,
Homogeneous State Feedback Stabilization of Homogenous Systems, SIAM Journal on Control and Optimization, vol.38, issue.4, pp.1288-1308, 2000. ,
Finite time controllers, SIAM Journal on Control and Optimization, vol.24, issue.4, pp.760-770, 1986. ,
Solving Ordinary Differential Equations I, 1993. ,
Nilpotent Approximations of Control Systems and Distributions, SIAM Journal on Control and Optimization, vol.24, issue.4, pp.731-736, 1986. ,
, Differential Equations, Stability and Control, chapter Homogeneous coordinates and continuous asymptotically stabilizing feedback controls, pp.249-260, 1991.
On an Output Feedback Finite-Time Stabilisation Problem, Proceedings of the 38th IEEE Conference on Decision and Control, vol.2, pp.1302-1307, 1999. ,
Stability and nilpotent approximations, Proceedings of the 27th IEEE Conference on Decision and Control, pp.1244-1248, 1988. ,
Discrete-Time Equivalent Homogeneous Differentiators, 15th Int. Workshop on Variable Structure Systems (VSS), pp.354-359, 2018. ,
Homogeneity approach to high-order sliding mode design, Automatica, issue.5, pp.823-830, 2005. ,
, , 2002.
, Smooth Lyapunov functions for Homogeneous Differential Inclusions, Proceedings of the 41st SICE Annual Conference, 1974.
Perspectives in Robust Control, chapter Sampled-Data Control of Nonlinear Systems: an Overview of Recent Results, 2001. ,
Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and Optimization, 2000. ,
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
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, 1992. ,
, Homogeneous Lyapunov function for homogeneous continuous vector field, Systems & Control Letters, vol.19, issue.6, pp.90078-90085
Design of Lyapunov functions for a class of homogeneous systems: Generalized forms approach, Int. Journal of Robust and Nonlinear Control, vol.29, issue.3, pp.661-681, 2019. ,
Homogeneous Lyapunov functions and necessary conditions for stabilization, Mathematics of Control, Signals and Systems, vol.9, issue.1, pp.34-58, 1996. ,
, Methods of A. M. Lyapunov and their applications. Groningen: P. Noordho: Limited, 1964.