[1] |
Lagrange J L. Mechanique Analytique. Paris: Mme ve Courcier, 1787. |
[2] |
Gauss C F. Uber ein neues allgemeines grundgsetz der mechanik. Journal fur die Reine und Angewandte Mathematik, 1829, 4: 232-235 |
[3] |
Gibbs J W. On the fundamental formulae of dynamics. American Journal of Mathematics, 1879, 2(1): 49-64 |
[4] |
Appell P. Sur une forme generale des equations de la dynamique. Comptes Rendus de l'Academie des Sciences, 1899, 129: 459-460 |
[5] |
Pars L A. A Treatise on Analytical Dynamics. Connecticut: Ox Bow Press, 1979. |
[6] |
Dirac P A M. Lectures on Quantum Mechanics. New York: Yeshiva University Press, 1964. |
[7] |
Udwadia F E, Kalaba R E. A new perspective on constrained motion. Proceedings of the Royal Society, 1992, 439(1906), doi: 10.1098/rspa.1992.0158 |
[8] |
Udwadia F E, Kalaba R E. Analytical Dynamics: A New Approach. Cambridge, UK: Cambridge University Press, 1996. |
[9] |
Udwadia F E, Kalaba R E. Explicit equations of motion for mechanical systems with nonideal constraints. Journal of Applied Mechanics, 2001, 68(3): 462-467 |
[10] |
Udwadia F E. On constrained motion. Applied Mathematics and Computation, 2005, 164(2): 313-320 |
[11] |
Maggi G A. Di alcune nuove forme delle equazioni della dinamica, applicabili ai sistemi anolonomi. Atti della Reale Accademia dei Lincei, Rendiconti, Classe di Scienze Fisiche, Matematiche e Naturali, 1901, 10: 287-291 (in Italian) |
[12] |
Neimark J I, Fufaev N A. Dynamics of Nonholonomic Systems. Phode Island, Providence: American Mathematical Society, 1972. |
[13] |
Hamel G. Die lagrange-eulersche gleichungen der mechanik. Zeitschrift fr Mathematik und Physik, 1904, 50: 1-57 (in German) |
[14] |
Hamel G. Theoretische Mechanik. Berlin: Springer-Verlag, 1949. (in German) |
[15] |
Cabannes H. General Mechanics (Second edition). Massachusetts, Waltham: Blaisdell/Ginn, 1968. (in English, translated from the original French) |
[16] |
Kirgetov V I. The motion of controlled mechanical systems with prescribed constraints (servoconstraints). Journal of Applied Mathematics and Mechanics, 1967, 31(3): 465-477 (in English, translated from original Russian) |
[17] |
Chen Y H. Constraint-following servo control design for mechanical systems. Journal of Vibration and Control, 2009, 15(3): 369-389 |
[18] |
Moore E H. On the reciprocal of the general algebraic matrix. Bulletin of the American Mathematical Society, 1920, 26: 294-395 |
[19] |
Penrose R. A generalized inverse for matrices. Proceedings of the Cambridge Philosophical Society, 1955, 51: 404-413 |
[20] |
Chen Y H. Second-order constraints for equations of motion of constrained systems. IEEE/ASME Transaction on Mechatronics, 1998, 3(3): 240-248 |
[21] |
Chen Y H. Equations of motion of constrained mechanical systems: given force depends on constraint force. Mechatronics, 1999, 9(4): 411-428 |
[22] |
Rosenberg R M. Analytical Dynamics of Discrete Systems. New York: Plenum Press, 1977. |
[23] |
Papastavridis J G. Analytical Mechanics. New York: Oxford University Press, 2002. |
[24] |
Chen Y H, Leitmann G, Chen J S. Robust control for rigid serial manipulators: a general setting. In: Proceedings of the 1998 American Control Conference. Philadelphia, PA, USA: IEEE, 1998. 912-916 |
[25] |
Udwadia F E, Kalaba R E. On motion. Journal of the Franklin Institute, 1993, 330(3): 571-577 |
[26] |
Bjerhammar A. Rectangular reciprocal matrices with special reference to geodetic calculations. Bulletin Godsique, 1951, 20(1): 188-220 |
[27] |
Baumgarte J. Stabilization of constraints and integrals of motion in dynamical systems. Computer Methods in Applied Mechanics and Engineering, 1972, 1(1): 1-16 |
[28] |
Asada H, Slotine J -J E. Robot Analysis and Control. New York: John Wiley and Sons, 1985. |
[29] |
Slotine J -J E, Li W P. Applied Nonlinear Control. New Jersey: Prentice Hall, 1991. |