Painlevé, P., 1905, “Sur les lois du frottement de glissement,” C. R. Acad. Sci. Paris, 121 , pp. 112–115.

Brogliato, B., 1999, "*Nonsmooth Mechanics: Models, Dynamics and Control, (Communications and Control Engineering)*", 2nd ed., Springer, New York.

Glocker, C., 2001, "*Set-Valued Force Laws–Dynamics of Nonsmooth Systems, (Lecture Notes in Applied Mechanics)*", Springer, New York, Vol. 1 .

Erdmann, G., 1875, “Über die unstetigen lösungen in der variationsrechnung,” J. Reine Angew. Math, 82 , pp. 21–30.

Cesari, M. O., 1984, “Necessary Conditions and Sufficient Conditions of Weak Minimum for Solutions With Corner Points,” Bol. Soc. Bras. Mat., 15 (1-2), pp. 109–135.

[CrossRef]Bahar, L. Y., and Anton, H., 1972, “On the Applications of Distribution Theory to Variational Problems,” J. Franklin Inst., 293 (3), pp. 215–223.

[CrossRef]Clarke, F. H., 1980, “The Erdmann Condition and Hamiltonian Inclusions in Optimal Control and the calculus of variations”. Can. J. Math., 32 (2), pp. 494–509.

[CrossRef]Bayón, L., Grau, M., and Suarez, P., 2003. “A necessary condition for broken extremals in Problems Involving Inequality Constraints,” Arch. Inequal. Appl., 1 , pp. 1–10.

Ioffe, A. D., and Rockafellar, T., 1996, “The Euler and Weierstrass Conditions for Nonsmooth Variational Problems,” Calculus Var. Partial Differ. Equ., 4 , pp. 59–87.

[CrossRef]Brogliato, B., 2009, “Some Results on Optimal Control With Unilateral State Constraints,” Nonlinear Anal. Theory Methods Appl., 70 , pp. 3626–3657.

[CrossRef]Leine, R. I., Aeberhard, U., and Glocker, C., 2009, “Hamilton’s Principle as Variational Inequality for Mechanical Systems With Impact,” J. Nonlinear Sci., 19 , pp. 633–664.

[CrossRef]Yunt, K., 2010, “Internal Boundary Variations and Discontinuous Transversality Conditions in Mechanics,” "*Integral Methods in Science and Engineering*", C.Constanda and M.Pérez, eds., Birkhäuser Boston, Vol. 1 , pp. 323–332.

Yunt, K., 2008, “Impulsive Optimal Control of Hybrid Finite-Dimensional Lagrangian Systems,” Ph.D. thesis, Swiss Federal Institute of Technology (ETH), Zurich, CH.

Yunt, K., 2007, “Impulsive Time-Optimal Control of Structure-Variant Rigid-Body Mechanical Systems,” "*3rd International IEEE Scientific Conference on Physics and Control (Physcon 2007)*", IPACS.

Yunt, K., 2008, “Necessary Conditions for the Impulsive Time-Optimal Control of Finite-Dimensional Lagrangian Systems,” "*Hybrid Systems: Computation and Control (Lecture Notes in Computer Science)*", M.Egerstedt and B.Mishra, eds., Springer, Berlin/Heidelberg, Vol. 4981 , pp. 556–569.

Yunt, K., 2011, “The Impulsive Action Integral,” "*Seventh WSEAS Conference on Applied and Theoretical Mechanics*", WSEAS, Montreux., pp. 98–103.

Fetecau, R. C., Marsden, J. E., Ortiz, M., and West, M., 2003, “Nonsmooth Lagrangian Mechanics and Variational Collision Integrators,” SIAM J. Appl. Dyn. Syst., 2 (3), pp. 381–416.

[CrossRef]Sinitsyn, V. A., 1981, “On the Hamilton-Ostrogradskii Principle in the Case of Impulsive Motions of Dynamic Systems,” Prikl. Mat. Mekh., 45 (3), pp. 488–493.

May, H. O., 1984, “Generalized Variational Principles and Nondifferentiable Potentials in Analytical Mechanics,” J. Math. Phys., 25 (3), pp. 491–493.

[CrossRef]May, H. O., 1984, “Hamilton’s Principle as Substationarity Principle,” Acta Mech., 52 (3-4), pp. 177–187.

[CrossRef]Panagiotopoulos, P., and Glocker, C., 1998, “Analytical Mechanics: Addendum I. Inequality Constraints With Elastic Impacts. The Convex Case,” Z. Angew. Math. Mech., 78 (4), pp. 219–229.

[CrossRef]Panagiotopoulos, P., and Glocker, C., 2000, “Inequality Constraints With Elastic Impacts in Deformable Bodies. The Convex Case,” Arch. Appl. Mech., 70 , pp. 349–365.

[CrossRef]Kozlov, V. V., and Treshchev, D. V., 1991, "*Billiards. A Genetic Introduction to the Dynamics of Systems With Impacts*", American Mathematical Society, Providence.

Buttazzo, G., and Percivale, D., 1983, “On the Approximation of the Elastic Bounce Problem on Riemannian Manifolds,” J. Differ. Equations, 47 , pp. 227–275.

[CrossRef]Ballard, P., 2000, “The Dynamics of Discrete Mechanical Systems With Perfect Unilateral Constraints,” Arch Ration. Mech. Anal., 154 , pp. 199–274.

[CrossRef]Paoli, L., and Schatzman, M., 2002, “A Numerical Scheme for Impact Problems I: The One Dimensional Case,” SIAM Journal of Numerical Analysis, 40 (2), pp. 702–733.

[CrossRef]Paoli, L., and Schatzman, M., 2002, “A Numerical Scheme for Impact Problems II: The Multidimensional Case,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal., 40 (2), pp. 734–768.

Mabrouk, M., 1998, “A Unified Variational for the Dynamics of Perfect Unilateral Constraints,” Eur. J. Mech. A/Solids, 17 , pp. 819–842.

[CrossRef]Dzonou, R., and Monteiro Marques, M., 2007, “A Sweeping Process Approach to Inelastic Contact Problems With General Inertia Operators,” Eur. J. Mech. A/Solids, 26 (3), pp. 474–490.

[CrossRef]Monteiro Marques, M., 1993, “Differential Inclusions in Nonsmooth Mechanical Problems, Schocks and Dry Friction,” "*Progress in Nonlinear Differential Equations and Their Applications*", Birkhäuser, Basel., Vol. 9
.

Hartman, P., and Stampacchia, G., 1966, “On Some Nonlinear Elliptic Differential Equations,” Acta Math., 115 (1), pp. 153–188.

[CrossRef]Clarke, F., 1990, "*Optimization and Nonsmooth Analysis, (Classics in Applied Mathematics)*", SIAM, Philadelphia.

Moreau, J. J., 1988, “Bounded Variation in Time,” "*Topics in Nonsmooth Mechanics*", J.J., Moreau, P.D., Panagiotopoulos, and G.Strang, eds., Birkhäuser, Basel-Boston., pp. 1–74.

Moreau, J. J., 1988, “Unilateral Contact and Dry Friction in Finite Freedom Dynamics,” "*Nonsmooth Mechanics and Applications (CISM Courses and Lectures)*", J.J.Moreau and P.D.Panagiotopoulos, eds. Springer, New York, Vol. 302 , pp. 1–82.

Troutman, J. L., 1996, "*Variational Calculus and Optimal Control*", 2nd ed., Springer, New York.

Aubin, J.-P., and Frankowska, H., 1990, "*Set-Valued Analysis (Systems and Control: Foundations and Applications)*", Birkhäuser, Boston., Vol. 2 .

Rockafellar, R. T., 1970, "*Convex Analysis (Princeton Landmarks in Mathematics and Physics)*"Princeton University Press, Princeton, NJ.

Mordukhovich, B. S., 2006, "*Variational Analysis and Generalized Differentiation I*", Springer, New York.

Rockafellar, R. T., 1979, “Directionally Lipschitzian Functions and Subdifferential Calculus,” Proc. London Math. Soc., 3 (39), pp. 331–355.

[CrossRef]Rockafellar, R. T., 1980, “Generalized Directional Derivatives and Subgradients of Nonconvex Functions,” Can. J. Math., 2 , pp. 257–280.

[CrossRef]Rockafellar, R. T., 1985, “Extensions of Subgradient Calculus With Applications to Optimisation,” Nonlinear Anal. Theory, Methods Appl., 9 (7), pp. 665–698.

[CrossRef]Rockafellar, R. T., and Wets, R. J.-B., 2004, "*Variational Analysis*", Springer, New York.

Thompson, W., and Tait, P. G., 1903, "*Treatise on Natural Philosophy*", Cambridge University Press, Cambridge, UK.