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Stabilization of Nonholonomic Systems                      225

                                31. Morin, P. and Samson, C., Exponential stabilization of nonlinear driftless
                                    systems with robustness to unmodelled dynamics, Control, Optimization and
                                    Calculus Variations, 4, 1, 1999.
                                32. Prieur, C. and Astolfi, A., Robust stabilization of chained systems via hybrid
                                    control, IEEE Transactions on Automatic Control, 48, 1768, 2003.
                                33. Valtolina, E. and Astolfi, A., Local robust regulation of chained systems,
                                    Systems and Control Letters, 49, 231, 2003.
                                34. Maini, M. et al., On the robust stabilization of chained systems by continuous
                                    feedback, in Proceedings of Conference on Decision Control IEEE, Phoenix,
                                    AZ, p. 3472, 1999.
                                35. Ryan, E. P., On Brockett’s condition for smooth stabilizability and its necessity
                                    in a context of nonsmooth feedback, SIAM Journal of Control and Optimization,
                                    32, 1597, 1994.
                                36. Bacciotti, A., Local Stabilizability of Nonlinear Control Systems, Series on
                                    Advances in Mathematics for Applied Sciences, World Scientific, Singapore,
                                    1991.
                                37. Sontag, E. D., Feedback stabilization of nonlinear systems, in Robust Control
                                    of Linear Systems and Nonlinear Control, M.A. Kaashoek, J.H. van Schuppen,
                                    and A.C.M. Ran (eds). Birkhäuser, Basel, Boston, p. 61, 1990.
                                38. Sontag, E. D., On characterizations of the input-to-state stability property,
                                    Systems and Control Letters, 24, 351, 1995.
                                39. Jiang, Z. P. and Wang, Y., Input-to-state stability for discrete-time nonlinear
                                    systems, Automatica, 37, 857, 2001.
                                40. Neši´ c, D. and Laila, D. S., A note on input-to-state stabilization for nonlinear
                                    sampled-data systems, IEEE Transactions on Automatic Control, 47, 1153,
                                    2002.
                                41. Stuart, A. M. and Humphries, A. R., Dynamical Systems and Numerical
                                    Analysis, Cambridge University Press, New York, 1996.
                                42. Laila, D. S. and Astolfi, A., Input-to-state stability for discrete-time time-
                                    varying systems with applications to robust stabilization of systems in power
                                    form, Automatica, 41, 1891–1903, 2005.
                                43. Tsiotras, P., Corless, M. J., and Longuski, J. M., A novel approach to the attitude
                                    control of axisymmetric spacecraft, Automatica, 31, 1099, 1995.
                                44. Isidori, A., Nonlinear Control Systems, 2nd ed., Springer-Verlag, Berlin,
                                    1989.
                                45. Arnold, V. I., Geometrical Methods in the Theory of Ordinary Differential
                                    Equations, 2nd ed., Springer-Verlag, NewYork, 1987.
                                46. Astolfi, A. and Schaufelberger, W., State and output feedback stabilization
                                    of multiple chained systems with discontinuous control, Systems and Control
                                    Letters, 32, 49, 1997.
                                47. Luo, J. and Tsiotras, P., Control design for chained-form systems with bounded
                                    inputs, Systems and Control Letters, 29, 123, 2000.
                                48. Sun, Z.andGe, S.S., Nonregularfeedbacklinearization: anonsmoothapproach,
                                    IEEE Transactions on Automatic Control, 48, 1772, 1998
                                49. Date, H. et al., Simultaneous control of position and orientation for ball-plate
                                    manipulation problem based on time-state control form, IEEE Transactions on
                                    Robotics and Automatics, 20, 465, 2004.




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