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Referencias:

• Abraham, R., Marsden, J.E., (1985) Foundation of Mechanics, , Benjaming Cummings, New York
• Balseiro, P., Solomin, J., On generalized non-holonomic systems (2008) Letters of Mathematical Physics, 84, pp. 15-30
• Bloch, A., Krishnaprasad, P.S., Marsden, J.E., Murray, R.M., Nonholonomic mechanical systems with symmetry (1996) Arch. Rat. Mech. Anal., 136, pp. 21-99
• Boothby, W.M., (1986) An Introduction to Differentiable Manifolds and Riemannian Geometry, , Second edition, Pure and Applied Mathematics, 120, Academic Press, Orlando, FL
• Bullo, F., Lewis, A., (2005) Geometric Control of Mechanical Systems. Modeling, Analysis, and Design for Simple Mechanical Control Systems, , Texts in Applied Mathematics, 49, Springer- Verlag, New York
• Cantrijn, F., De Leon, M., Marrero, J.C., Diego De D.Martin, Reduction of constrained systems with symmetries (1999) J. Math. Phys., 40, pp. 795-820
• Cendra, H., Ferraro, S., Grillo, S., Lagrangian reduction of generalized nonholonomic sys- tems (2008) Journal of Geometry and Physics, 58, pp. 1271-1290
• Cendra, H., Grillo, S., Generalized nonholonomic mechanics (2006) Servomechanisms and Related Brackets, J. Math. Phys., 47, p. 022902. , 29
• Cendra, H., Grillo, S., Lagrangian systems with higher order constraints (2007) J. Math. Phys., 48, p. 052904. , 35
• Cendra, H., Ibort, A., De Leon, M., De Diego, D., A generalization of Chetaev's principle for a class of higher order nonholonomic constraints (2004) J. Math. Phys., 45, pp. 2785-2801
• Cendra, H., Lacomba, E.A., Reartes, W.A., (2002) The Lagrange d'Alembert-Poincare Equations for the Symmetric Rolling Sphere, pp. 19-32. , Actas del VI Congreso Antonio Monteiro
• Cendra, H., Marsden, J.E., Pekarsky, S., Ratiu, T.S., Variational principles for Lie-Poisson and Hamilton-Poincare equations (2003) Moscow Mathematical Journal, 3, pp. 833-867. , 1197-1198
• Cendra, H., Marsden, J.E., Ratiu, T.S., Lagrangian reduction by stages (2001) Memoirs of the American Mathematical Society, 152, pp. x+108
• Cendra, H., Marsden, J.E., Ratiu, T.S., (2001) Geometric Mechanics, Lagrangian Reduction, and Non-holonomic Systems, in \\Mathematics Unlimited-2001 and Beyond, pp. 221-273. , eds. B. Enguist and W. Schmid), Springer, Berlin
• Chetaev, N.G., On Gauss principle (1934) Izv. Fiz-Mat. Obsc. Kazan Univ., 7, pp. 68-71
• Crampin, M., Sarlet, W., Cantrijn, F., Higher-order differential equations and higher-order Lagrangian mechanics (1986) Math. Proc. Camb. Phil. Soc., 99, pp. 565-587
• De Leon, M., Rodrigues, P.R., (1985) Generalized Classical Mechanics and Field Theory. A Geometrical Approach of Lagrangian and Hamiltonian Formalisms Involving Higher Order Derivatives, , North-Holland Mathematics Studies, 112, Notes on Pure Mathematics, 102, North-Holland Publishing Co., Amsterdam
• Fernandez, J., Tori, C., Zuccalli, M., Lagrangian reduction of nonholonomic discrete me- chanical systems (2010) J. Geom. Mech., 2, pp. 69-111
• Godbillon, C., (1969) Geometrie Differentielle et Mecanique Analytique, , Hermann, Paris
• Greidanus, J.H., (1942) Besturing en Stabiliteit Van Het Neuswielonderstel, , Rapport V 1038, Nationaal Luchtvaartlaboratorium, Amsterdam
• Grillo, S., (2007) Sistemas Noholonomos Generalizados, , (Spanish), Ph.D thesis, Universidad Nacional del Sur
• Grillo, S., Higher order constrained Hamiltonian systems (2009) J. Math. Phys., 50, p. 082901. , 34
• Grillo, S., MacIel, F., Perez, D., Closed-loop and constrained mechanical systems (2010) International Journal of Geometric Methods in Modern Physics, 7, pp. 1-30
• Grillo, S., Marsden, J., Nair, S., Lyapunov constraints and global asymptotic stabilization (2011) Journal of Geometric Mechanics, 3, pp. 145-196
• Kobayashi, S., Nomizu, K., (1963) Foundations of Differential Geometry, , New York, John Wiley & Son
• Krupkova, O., Higher-order mechanical systems with constraints (2000) J. Math. Phys., 41, pp. 5304-5324
• Marle, C.-M., Kinematic and geometric constraints (1996) Servomechanism and Control of Mechan- Ical Systems, Rend. Sem. Mat. Univ. Pol. Torino, 54, pp. 353-364
• Various approaches to conservative and nonconservative non-holonomic systems (1998) Rep. Math. Phys., 42, pp. 211-229. , MR1656282
• Marsden, J.E., Ratiu, T.S., (1994) Introduction to Mechanics and Symmetry. A Basic Exposition of Classical Mechanical Systems, , Texts in Applied Mathematics, 17, Springer-Verlag, New York
• Marsden, J.E., Ratiu, T.S., (2001) Manifolds, Tensor Analysis and Applications, , New York, Springer-Verlag
• Perez, D., (2006) Sistemas Dinamicos No Holonomos Generalizados y Su Aplicacion A la Teora de Control Automatico Mediante Vnculos Cinematicos, , (Spanish), Proyecto Integrador, Carrera de Ingeniera Mecanica del Instituto Balseiro
• Perez, D., (2007) Sistemas Mecanicos Con Vnculos de Orden Superior: Aplicaciones A la Teora de Control, , (Spanish), Maestra en Cs. Fsicas del Instituto Balseiro, Orientacion Fsica Aplicada
• Pironneau, Y., Sur les liaisons non holonomes non lineaires deplacement virtuels a travail nul, conditions de Chetaev Proceedings of the IUTAM-ISIMMM Symposium on Modern Developments in Analytical Mechanics, 2. , (Torino, 1982)
• Benenti, S., Francaviglia, M., Lichnerowicz, A., (1983) Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur., 117, pp. 671-686
• Rayleigh, J.W.S., (1945) The Theory of Sound, , Dover Publications, New York
• Shan, D., Equations of motion of systems with second-order nonlinear non-holonomic con- straints (1973) Prikl. Mat. Mekh., 37, pp. 349-354
• Tulczyjew, W.M., Urbanski, P., A slow and careful Legendre transformation for singular Lagrangians (1999) Acta Physica Polonica B, 30, pp. 2909-2978
• Valcovici, V., Une extension des liaisons non holonomes et des principes variationnels (1958) Ber. Verh. Sachs. Akad. Wiss. Leipzig. Math.-Nat. Kl., 102, p. 39
• Whittaker, E.T., (1937) A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, , Cambridge University Press, Cambriedge

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