Chattering avoidance by second-order sliding mode control, IEEE Transactions on Automatic Control, vol.43, issue.2, pp.241-246, 2000. ,
DOI : 10.1109/9.661074
Second-order sliding-mode control of container cranes, Automatica, vol.38, issue.10, pp.1783-1790, 2002. ,
DOI : 10.1016/S0005-1098(02)00081-X
Tracking fast inverted trajectories of the underactuated Acrobot, IEEE Transactions on Robotics and Automation, vol.15, issue.4, pp.740-750, 1999. ,
DOI : 10.1109/70.782028
Finite-time stability of homogeneous systems, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041), pp.2513-2514, 1997. ,
DOI : 10.1109/ACC.1997.609245
Vector Lyapunov functions nonlinear, time-varying, ordinary and functional differential equations, Advances in Stability Theory at the End of the 20th Century, 2003. ,
Asymptotic stabilization of minimum phase nonlinear systems, IEEE Transactions on Automatic Control, vol.36, issue.10, pp.1122-1137, 1991. ,
DOI : 10.1109/9.90226
A new model for control of systems with friction, IEEE Transactions on Automatic Control, vol.40, issue.3, pp.419-425, 1995. ,
DOI : 10.1109/9.376053
Swing-up and stabilization of a cart???pendulum system under restricted cart track length, Systems & Control Letters, vol.47, issue.4, pp.355-364, 2002. ,
DOI : 10.1016/S0167-6911(02)00229-3
Energy based control of the Pendubot, IEEE Transactions on Automatic Control, vol.45, issue.4, pp.725-729, 2000. ,
DOI : 10.1109/9.847110
Differential equations with discontinuous right-hand side, 1988. ,
DOI : 10.1090/trans2/042/13
Higher order sliding modes as a natural phenomenon in control theory, Robust Control via variable structure and Lyapunov techniques, Garafalo and Glielmo Lecture notes in control and information science, pp.107-133, 1996. ,
DOI : 10.1007/BFb0027563
Higher order sliding modes, in Sliding mode control in engineering, pp.53-102, 2002. ,
General aggregation of large-scale systems by vector Lyapunov functions and vector norms, International Journal of Control, vol.24, pp.529-550, 1976. ,
Generalized Sliding-Mode Control for Multi-Input Nonlinear Systems, IEEE Transactions on Automatic Control, vol.51, issue.9, 2006. ,
DOI : 10.1109/TAC.2006.880959
On an output feedback finite-time stabilization problem, IEEE Transactions on Automatic Control, vol.46, issue.2, pp.305-309, 2001. ,
DOI : 10.1109/9.905699
Estimation of backlash with application to automotive powertrains, Proceedings of the 42 Conference on Decision and Control, pp.4521-4526, 2003. ,
Sliding order and sliding accuracy in sliding mode control, International Journal of Control, vol.51, issue.6, pp.1247-1263, 1993. ,
DOI : 10.1109/TAC.1977.1101661
Homogeneity approach to high-order sliding mode design, Automatica, vol.41, issue.5, pp.8237-830, 2005. ,
DOI : 10.1016/j.automatica.2004.11.029
Stabilization of the inverted pendulum around its homoclinic orbit, Systems & Control Letters, vol.40, issue.3, pp.197-204, 2000. ,
DOI : 10.1016/S0167-6911(00)00025-6
Robust sliding mode control of uncertain nonlinear systems, Systems & Control Letters, vol.32, issue.2, pp.75-90, 1997. ,
DOI : 10.1016/S0167-6911(97)00061-3
Dynamical properties of hybrid automata, IEEE Transactions on Automatic Control, vol.48, issue.1, pp.2-17, 2003. ,
DOI : 10.1109/TAC.2002.806650
Extended invariance principle for nonautonomous switched systems, IEEE Transactions on Automatic Control, vol.48, issue.8, pp.1448-1452, 2003. ,
DOI : 10.1109/TAC.2003.815043
Finite time stability of homogeneous switched systems, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), pp.4271-4276, 2003. ,
DOI : 10.1109/CDC.2003.1271821
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
Switched chattering control vs. backlash/friction phenomena in electrical servo-motors, International Journal of Control, vol.76, issue.9-10, pp.959-967, 2003. ,
DOI : 10.1080/0020717031000099056
Global position regulation of friction manipulators via switched chattering control, International Journal of Control, vol.43, issue.14, pp.1446-1452, 2003. ,
DOI : 10.1109/9.317122
Stabilization of a class of underactuated mechanical systems via interconnection and damping assignment, IEEE Transactions on Automatic Control, vol.47, issue.8, pp.1218-1233, 2002. ,
DOI : 10.1109/TAC.2002.800770
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
Second-order sliding mode control of underactuated mechanical systems II: Orbital stabilization of an inverted pendulum with application to swing up/balancing control, International Journal of Robust and Nonlinear Control, vol.51, issue.4-5 ,
DOI : 10.1002/rnc.1203
The Swing Up Contol Problem for the Acrobot, IEEE Control Systems Magazine, pp.49-55, 1995. ,
Control of underactuated mechanical systems using switching and saturation, Lecture Notes in Control and Information Sciences, vol.222, pp.163-172, 1997. ,
DOI : 10.1007/BFb0036093
The peaking phenomenon and the global stabilization of nonlinear systems, IEEE Transactions on Automatic Control, vol.36, issue.4, pp.424-440, 1991. ,
DOI : 10.1109/9.75101
Sliding modes in Electromechanical Systems, 1999. ,
Nonlinear control for an inverted pendulum having restricted travel, Automatica, pp.31-841, 1995. ,
Hybrid control of the Pendubot, IEEE/ASME Transactions on Mechatronics, vol.7, issue.1, pp.79-86, 2002. ,
DOI : 10.1109/3516.990890
Hybrid control for global stabilization of the cart???pendulum system, Automatica, vol.37, issue.12, pp.1941-1951, 2001. ,
DOI : 10.1016/S0005-1098(01)00164-9