N. Adhikary and C. Mahanta, Integral backstepping sliding mode control for underactuated systems: swing-up and stabilization of the cart-pendulum system, ISA Transactions, vol.58, pp.870-880, 2013.

F. Amato, M. Ariola, and P. Dorato, Finite-time control of linear systems subject to parametric uncertainties and disturbances, Automatica, vol.37, pp.1459-1463, 2001.

S. Andary, A. Chemori, and S. Krut, Control of the underactuated inertia wheel inverted pendulum for stable limit cycle generation, RSJ Advanced Robotics, vol.23, pp.1999-2014, 2009.
URL : https://hal.archives-ouvertes.fr/lirmm-00455577

S. Andary and A. Chemori, A dual model-free control of non-minimum phase systems for generation of stable limit cycles, Proc. 50th IEEE Conf. Decision Contr. (CDC'11), pp.1387-1392, 2011.
URL : https://hal.archives-ouvertes.fr/lirmm-00657453

S. Andary, A. Chemori, M. Benoit, and J. Sallantin, A dual model-free control of underactuated mechanical systems, application to the inertia wheel inverted pendulum, American Control Conference (ACC'12), pp.1029-1034, 2012.
URL : https://hal.archives-ouvertes.fr/lirmm-00723934

M. Bergerman, Dynamics and Control of Underactuated Manipulators, 1996.

S. P. Bhat and D. S. Bernstein, Finite-time stability of continuous autonomous systems, SIAM Journal on Control and Optimization, vol.38, pp.751-766, 2000.

W. Blajer and K. Kolodziejczyk, Modeling of underactuated mechanical systems in partly specified motion, Journal of Theoretical and Applied Mechanics, vol.46, issue.2, pp.383-394, 2008.

S. A. Bortoff and M. W. Spong, Pseudolinearization of the acrobot using spline functions, Proc. 31st IEEE Conf. Decision Contr, pp.593-598, 1992.

A. Chemori and M. Alamir, Nonlinear predictive control of under-actuated mechanical systems, application: the ecp 505 inverted pendulum, MTNS'06

, Proc. Mathematical Theory of Networks and Systems, 2004.

N. Khraief, A. Chemori, and S. Belghith, External disturbance rejection in IDA-PBC controller for underactuated mechanical systems: from theory to real-time experiments, IEEE Multi-Conference on Systems and Control (MSC'14), pp.1747-1752, 2014.
URL : https://hal.archives-ouvertes.fr/lirmm-01722715

D. Cheng and W. Lin, On normal form of nonlinear systems, IEEE Transactions on Automatic Control, vol.48, pp.1242-1248, 2003.

A. Choukchou-braham, B. Cherki, M. Djemai, and K. Busawon, Analysis and Control of Underwatcuated Mechanical Systems, 2014.

I. Fantoni and R. Lozano, Non-linear Control for Underactuated Mechanical Systems, 2001.

T. I. Fossen, Nonlinear Modelling and Control of Underwater Vehicles, 1991.

L. B. Freidovich, P. L. Hera, U. Mettin, A. Robertsson, and A. S. Shiriaev, Shaping stable periodic motions of inertia wheel pendulum: theory and experiments, Asian Journal of Control, vol.11, issue.5, pp.548-556, 2009.

L. Freidovicha, A. Robertssona, A. Shiriaeva, and R. Johanssonb, Periodic motions of the pendubot via virtual holonomic constraints: theory and experiments, Automatica, vol.44, pp.785-791, 2008.

S. Ge and F. Lewis, Autonomous Mobile Robots, p.4, 2006.

V. T. Haimo, Finite-time controllers, SIAM Journal on Control and Optimization, vol.24, pp.760-770, 1986.

Y. Hong, Finite-time stabilization and stabilizability of a class of controllable systems, System & Control Letters, vol.46, pp.231-236, 2002.

Y. Hong, J. Wang, and Z. Xi, Stabilization of uncertain chained form systems within finite settling time, IEEE Transactions on Automatic Control, vol.50, pp.1379-1384, 2005.

Y. G. Hong and Z. P. Jiang, Finite-time stabilization of nonlinear systems with parametric and dynamic uncertainties, IEEE Transactions on Automatic Control, vol.51, pp.1950-1956, 2006.

Y. G. Hong, K. Wang, and D. Cheng, Adaptive finite-time control of nonlinear systems with parametric uncertainty, IEEE Transactions on Automatic Control, vol.51, pp.858-862, 2006.

X. Huang, W. Lin, and B. Yang, Global finite-time stabilization of a class of uncertain nonlinear systems, Automatica, vol.41, pp.881-888, 2005.

S. Jadlovska and J. Sarnovsky, Application of the state-dependent riccati equation method in nonlinear control design for inverted pendulum systems, IEEE 11th International Symposium on Intelligent Systems and Informatics (SISY'13), pp.209-214, 2013.

S. Jadlovska and J. Sarnovsky, A complex overview of modeling and control of the rotary single inverted pendulum system, pp.73-85, 2013.

S. Jadlovska and J. Sarnovsky, Modeling and optimal control of nonlinear underactuated mechanical systems a survey, 13th Scientific Conference of Young Researchers FEI, pp.32-35, 2013.

N. Khalid and A. Y. Memon, Output feedback control of a class of underactuated nonlinear systems using extended high gain observer, Arabian Journal for Science and Engineering, vol.41, pp.3531-3542, 2016.

H. Khalil, Nonlinear Systems, 1996.

K. Lee and V. , Control algorithms for stabilizing underactuated robots', Journal of Robotic Systems, vol.15, pp.681-697, 1998.

A. De-luca, R. Mattone, and G. Oriolo, Stabilization of underactuated planar 2r manipulator, International Journal of Robust and Nonlinear Control, vol.10, pp.181-198, 2000.

Y. Nakamura, T. Suzuki, and M. Koinuma, Nonlinear behavior and control of nonholonomic free-joint manipulator, IEEE Transactions on Robotics and Automation, vol.13, pp.853-862, 1997.

R. and R. Olfati-saber, Nonlinear Control of Underactuated Mechanical Systems with Application to Robotics and Aerospace Vehicles, 2001.

M. Park and D. Chwa, Swing-up and stabilization control of inverted pendulum systems via coupled sliding-mode control method, IEEE Transactions on Industrial Electronics, vol.56, pp.3541-3555, 2009.

G. Poulin, A. Chemori, and N. Marchand, Minimum energy oriented global stabilizing control of the PVTOL aircraft, International Journal of Control, vol.80, pp.430-442, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00022063

C. Qian and W. Lin, A continuous feedback approach to global strong stabilization of nonlinear systems, IEEE Transactions on Automatic Control, vol.46, pp.1061-1079, 2001.

D. Qian, J. Yi, and D. Zhao, Hierarchical sliding mode control for a class of SIMO under-actuated systems, Control and Cybernetics, vol.37, pp.1-18, 2008.

M. T. Ravichandran and A. D. Mahindrakar, Robust stabilization of a class of underactuated mechanical systems using time scaling and Lyapunov redesign, IEEE Transactions on Industrial Electronics, vol.58, pp.4299-4313, 2011.

M. Reyhanoglu, S. Ludvigsen, and O. Egeland, Discontinuous feedback control of a special class of underactuated mechanical systems, International Journal of Robust and Nonlinear Control, vol.10, pp.265-282, 2000.

M. Spong, Partial feedback linearization of underactuated mechanical systems, EEE/RSJ/GI International Conference on Intelligent Robots and Systems, pp.314-321, 1994.

M. Spong, The swing up control problem for the acrobot', IEEE Control Systems Magazine, vol.15, pp.49-55, 1995.

M. Spong, Energy based control of a class of underactuated mechanical system, 13th IFAC World Congress, pp.431-436, 1996.

M. Spong, Underactuated mechanical systems, Control Problems in Robotics and Automation, vol.230, pp.135-150, 1998.

M. W. Spong and L. Praly, chapter Control of underactuated mechanical systems using switching and saturation, Lecture Notes in Control and Information Sciences, vol.222, pp.162-172, 2006.

N. Touati and A. Chemori, Predictive control for the stabilization of a fast mechatronic system: from simulation to real-time experiments, IFAC Symposium on Mechatronic Systems (Mechatronics'13), pp.237-242, 2013.
URL : https://hal.archives-ouvertes.fr/lirmm-00809710

J. Xu, Z. Guo, and T. H. Lee, Design and implementation of integral sliding mode control on an underactuated two-wheeled mobile robot, ISA Transactions, vol.58, pp.870-880, 2013.