{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T09:21:06Z","timestamp":1778836866869,"version":"3.51.4"},"reference-count":75,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2006,10,28]],"date-time":"2006-10-28T00:00:00Z","timestamp":1161993600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Program."],"published-print":{"date-parts":[[2008,5]]},"DOI":"10.1007\/s10107-006-0041-0","type":"journal-article","created":{"date-parts":[[2006,10,27]],"date-time":"2006-10-27T12:55:22Z","timestamp":1161953722000},"page":"133-217","source":"Crossref","is-referenced-by-count":37,"title":["Higher order Moreau\u2019s sweeping process: mathematical formulation and numerical simulation"],"prefix":"10.1007","volume":"113","author":[{"given":"Vincent","family":"Acary","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bernard","family":"Brogliato","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Daniel","family":"Goeleven","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2006,10,28]]},"reference":[{"key":"41_CR1","unstructured":"Anstreicher, K.M.: Generation of feasible descent directions in continuous time linear programming. Technical Report SOL 83-18, Systems Optimization Laboratory, Dept. of Operations Research, Stanford University (1983)"},{"key":"41_CR2","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/0167-6911(95)00021-Z","volume":"26","author":"A.V. Arutyunov","year":"1995","unstructured":"Arutyunov A.V., Aseev S.M. (1995) State constraints in optimal control. The degeneracy phenomenon. Systems Control Lett. 26, 267\u2013273","journal-title":"Systems Control Lett."},{"key":"41_CR3","volume-title":"Differential Inclusions","author":"J.P. Aubin","year":"1994","unstructured":"Aubin J.P., Cellina A. (1994) Differential Inclusions. Springer, Berlin Heidelberg New York"},{"key":"41_CR4","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1007\/s002050000105","volume":"154","author":"P. Ballard","year":"2000","unstructured":"Ballard P. (2000) The dynamics of discrete mechanical systems with perfect unilateral constraints. Arch. Rational Mech. Anal. 154, 199\u2013274","journal-title":"Arch. Rational Mech. Anal."},{"issue":"2","key":"41_CR5","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1515\/JAA.1996.217","volume":"2","author":"H. Benabdellah","year":"1996","unstructured":"Benabdellah H., Castaing C., Salvadori A., Syam A. (1996) Nonconvex sweeping process. J. Appl. Anal. 2(2):217\u2013240","journal-title":"J. Appl. Anal."},{"key":"41_CR6","volume-title":"Plemmons: Nonnegative Matrices in The Mathematical Sciences. Computer Science and Applied Mathematics","author":"A. Berman","year":"1979","unstructured":"Berman A. (1979) Plemmons: Nonnegative Matrices in The Mathematical Sciences. Computer Science and Applied Mathematics. Academic, New York"},{"key":"41_CR7","volume-title":"Op\u00e9rateurs maximaux monotones et semi-groupes de contraction dans les espaces de Hilbert","author":"H. Brezis","year":"1973","unstructured":"Brezis H. (1973) Op\u00e9rateurs maximaux monotones et semi-groupes de contraction dans les espaces de Hilbert. North Holland, Amsterdam"},{"key":"41_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4471-0557-2","volume-title":"Nonsmooth Mechanics","author":"B. Brogliato","year":"1999","unstructured":"Brogliato B. (1999) Nonsmooth Mechanics, 2nd edn. Springer, London","edition":"2"},{"issue":"6","key":"41_CR9","doi-asserted-by":"crossref","first-page":"918","DOI":"10.1109\/TAC.2003.812777","volume":"48","author":"B. Brogliato","year":"2003","unstructured":"Brogliato B. (2003) Some perspectives on the analysis and control of complementarity systems. IEEE Trans. Autom. Control 48(6), 918\u2013935","journal-title":"IEEE Trans. Autom. Control"},{"issue":"5","key":"41_CR10","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/j.sysconle.2003.09.007","volume":"51","author":"B. Brogliato","year":"2004","unstructured":"Brogliato B. (2004) The absolute stability problem and the Lagrange\u2013Dirichlet theorem with monotone multivalued mappings. Systems Control Lett. 51(5):343\u2013353","journal-title":"Systems Control Lett."},{"key":"41_CR11","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/j.sysconle.2004.06.006","volume":"54","author":"B. Brogliato","year":"2005","unstructured":"Brogliato B. (2005) Some results on the controllability of planar variational inequalities. Systems Control Lett. 54: 65\u201371","journal-title":"Systems Control Lett."},{"issue":"1","key":"41_CR12","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/j.sysconle.2005.04.015","volume":"55","author":"B. Brogliato","year":"2006","unstructured":"Brogliato B., Daniilidis A., Lemar\u00e9chal C., Acary V. (2006) On the equivalence between complementarity systems, projected systems and differential inclusions. Systems Control Lett. 55(1):45\u201351","journal-title":"Systems Control Lett."},{"key":"41_CR13","volume-title":"Dissipative Systems Analysis and Control. Theory and Applications","author":"B. Brogliato","year":"2006","unstructured":"Brogliato B., Lozano R., Maschke B., Egeland O. (2006) Dissipative Systems Analysis and Control. Theory and Applications. 2nd edn. Springer, London","edition":"2"},{"issue":"2","key":"41_CR14","doi-asserted-by":"crossref","first-page":"200","DOI":"10.1109\/9.554400","volume":"42","author":"B. Brogliato","year":"1997","unstructured":"Brogliato B., Niculescu S., Orhant P. (1997) On the control of finite-dimensional mechanical systems with unilateral constraints. IEEE Trans. Autom. Control 42(2):200\u2013215","journal-title":"IEEE Trans. Autom. Control"},{"issue":"2","key":"41_CR15","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1115\/1.1454112","volume":"55","author":"B. Brogliato","year":"2002","unstructured":"Brogliato B., ten Dam A.A., Paoli L., Genot F., Abadie M. (2002) Numerical simulation of finite dimensional multibody nonsmooth mechanical systems. ASME Appl. Mech. Rev. 55(2):107\u2013150","journal-title":"ASME Appl. Mech. Rev."},{"key":"41_CR16","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1109\/81.989170","volume":"49","author":"K. Camlibel","year":"2002","unstructured":"Camlibel K., Heemels W.P.M.H., Schumacher J.M. (2002) Consistency of a time-stepping method for a class of piecewise-linear networks. IEEE Trans. Circuits Systems I 49, 349\u2013357","journal-title":"IEEE Trans. Circuits Systems I"},{"issue":"3","key":"41_CR17","doi-asserted-by":"crossref","first-page":"220","DOI":"10.3166\/ejc.8.220-237","volume":"8","author":"K. Camlibel","year":"2002","unstructured":"Camlibel K., Heemels W.P.M.H., Schumacher J.M. (2002) On linear passive complementarity systems. Eur. J. Control 8(3):220\u2013237","journal-title":"Eur. J. Control"},{"key":"41_CR18","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1007\/BF01027688","volume":"1","author":"C. Castaing","year":"1993","unstructured":"Castaing C., Duc Ha T.X., Valadier M. (1993) Evolution equations governed by the sweeping process. Set-Valued Anal. 1, 109\u2013139","journal-title":"Set-Valued Anal."},{"key":"41_CR19","first-page":"73","volume":"1","author":"C. Castaing","year":"1996","unstructured":"Castaing C., Monteiro-Marques M.D.P. (1996) Evolution problems associated with nonconvex closed moving sets with bounded variation. Portugaliae Math. 1, 73\u201387","journal-title":"Portugaliae Math."},{"key":"41_CR20","doi-asserted-by":"crossref","first-page":"310","DOI":"10.1016\/0022-0396(82)90097-3","volume":"46","author":"D. Cobb","year":"1982","unstructured":"Cobb D. (1982) On the solution of linear differential equations with singular coefficients. J. Differ. Equ. 46, 310\u2013323","journal-title":"J. Differ. Equ."},{"key":"41_CR21","volume-title":"Measure Theory and Fine Properties of Functions. Studies in Advanced Mathematics","author":"L.C. Evans","year":"1992","unstructured":"Evans L.C., Gariepy R.F. (1992) Measure Theory and Fine Properties of Functions. Studies in Advanced Mathematics. CRC Press, Boca Raton"},{"key":"41_CR22","volume-title":"Finite-Dimensional Variational Inequalities and Complementarity Problems, vol I & II of Springer Series in Operations Research","author":"F. Facchinei","year":"2003","unstructured":"Facchinei F., Pang J.-S. (2003) Finite-Dimensional Variational Inequalities and Complementarity Problems, vol I & II of Springer Series in Operations Research. Springer, Berlin Heidelberg New York"},{"issue":"4","key":"41_CR23","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1109\/TAC.2004.825654","volume":"49","author":"D. Goeleven","year":"2004","unstructured":"Goeleven D., Brogliato B. (2004) Stability and instability matrices for linear evolution variational inequalities. IEEE Trans. Autom. Control 49(4):521\u2013534","journal-title":"IEEE Trans. Autom. Control"},{"key":"41_CR24","doi-asserted-by":"crossref","unstructured":"Goeleven, D., Motreanu, D., Dumont, Y., Rochdi, M.: Variational and Hemivariational Inequalities: Theory, Methods and Applications, vol. I: Unilateral Analysis and Unilateral Mechanics. Nonconvex Optimization and its Applications. Kluwer(2003)","DOI":"10.1007\/978-1-4419-8610-8"},{"key":"41_CR25","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1137\/1037043","volume":"37","author":"R.F. Hartl","year":"1995","unstructured":"Hartl R.F., Sethi S.P., Vickson R.G. (1995) A survey of the maximum principles for optimal control problems with state constraints. SIAM Rev. 37, 181\u2013218","journal-title":"SIAM Rev."},{"key":"41_CR26","unstructured":"Heemels, W.P.M.H.: Linear Complementarity Systems. A Study in Hybrid Dynamics. PhD thesis, Technical University of Eindhoven (1999). ISBN 90-386-1690-2"},{"key":"41_CR27","first-page":"311","volume":"9","author":"W.P.M.H. Heemels","year":"2003","unstructured":"Heemels W.P.M.H., Brogliato B. (2003) The complementarity class of hybrid dynamical systems. Eur. J. Control 9, 311\u2013349","journal-title":"Eur. J. Control"},{"issue":"4","key":"41_CR28","doi-asserted-by":"crossref","first-page":"1234","DOI":"10.1137\/S0036139997325199","volume":"60","author":"W.P.M.H. Heemels","year":"2000","unstructured":"Heemels W.P.M.H., Schumacher J.M., Weiland S. (2000) Linear complementarity problems. SIAM J. Appl. Math. 60(4):1234\u20131269","journal-title":"SIAM J. Appl. Math."},{"issue":"11","key":"41_CR29","doi-asserted-by":"crossref","first-page":"1926","DOI":"10.1109\/TAC.2003.819075","volume":"48","author":"J.I. Imura","year":"2003","unstructured":"Imura J.I. (2003) Well-posedness analysis of switch-driven piecewise affine systems. IEEE Trans. Autom. Control 48(11):1926\u20131935","journal-title":"IEEE Trans. Autom. Control"},{"key":"41_CR30","doi-asserted-by":"crossref","unstructured":"Jean, M.: The non smooth contact dynamics method. Comput. Methods Appl. Mech. Eng. 177, 235\u2013257 (1999). Special issue on computational modeling of contact and friction, Martins, J.A.C., Klarbring, A. (eds.)","DOI":"10.1016\/S0045-7825(98)00383-1"},{"key":"41_CR31","doi-asserted-by":"crossref","unstructured":"Juloski, A., Heemels, W.P.M.H., Brogliato, B.: Observer design for Lur\u2019e systems with multivalued mappings. In: IFAC World Congress Prague, 4\u20138 July 2005","DOI":"10.3182\/20050703-6-CZ-1902.00316"},{"key":"41_CR32","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1023\/A:1021980201718","volume":"11","author":"P. Krejci","year":"2003","unstructured":"Krejci P., Vladimorov A. (2003) Polyhedral sweeping processes with oblique reflection in the space of regulated functions. Set-Valued Anal 11, 91\u2013110","journal-title":"Set-Valued Anal"},{"key":"41_CR33","first-page":"165","volume":"4","author":"M. Kunze","year":"1997","unstructured":"Kunze M., Monteiro Marques M.D.P. (1997) Existence of solutions for degenerate sweeping processes. J. Convex Anal. 4, 165\u2013176","journal-title":"J. Convex Anal."},{"key":"41_CR34","doi-asserted-by":"crossref","first-page":"179","DOI":"10.12775\/TMNA.1998.036","volume":"12","author":"M. Kunze","year":"1998","unstructured":"Kunze M., Monteiro Marques M.D.P. (1998) On parabolic quasi-variational inequalities and state-dependent sweeping processes. Topol Methods Nonlinear Anal. 12, 179\u2013191","journal-title":"Topol Methods Nonlinear Anal."},{"key":"41_CR35","first-page":"1","volume-title":"Impact in Mechanical systems: Analysis and Modelling, Lecture Notes in Physics vol. 551","author":"M. Kunze","year":"2000","unstructured":"Kunze M., Monteiro Marques M.D.P. (2000) An introduction to Moreau\u2019s sweeping process. In: Brogliato B. (eds) Impact in Mechanical systems: Analysis and Modelling, Lecture Notes in Physics vol. 551. Springer, Berlin Heidelberg New York, pp. 1\u201360"},{"key":"41_CR36","doi-asserted-by":"crossref","first-page":"292","DOI":"10.1006\/jdeq.1996.0144","volume":"130","author":"M. Kunze","year":"1996","unstructured":"Kunze M., Monteiro MarquFs M.D.P. (1996) Yosida-Moreau regularisation of sweeping processes with unbounded variation. J. Differ. Equ. 130, 292\u2013306","journal-title":"J. Differ. Equ."},{"issue":"9","key":"41_CR37","doi-asserted-by":"crossref","first-page":"1650","DOI":"10.1109\/9.412639","volume":"40","author":"W.Q. Liu","year":"1995","unstructured":"Liu W.Q., Lan W.Y., Teo K.L. (1995) On initial instantaneous jumps of singular systems. IEEE Trans. Autom. Control 40(9):1650\u20131655","journal-title":"IEEE Trans. Autom. Control"},{"issue":"3","key":"41_CR38","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1016\/S0005-1098(98)90177-7","volume":"35","author":"Y.J. Lootsma","year":"1999","unstructured":"Lootsma Y.J., van der Schaft A.J., Camlibel K. (1999) Uniqueness of solutions of relay systems. Automatica 35(3):467\u2013478","journal-title":"Automatica"},{"issue":"2","key":"41_CR39","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1137\/0142022","volume":"42","author":"P. Lotstedt","year":"1982","unstructured":"Lotstedt P. (1982) Mechanical systems of rigid bodies subject to unilateral constraints. SIAM J. Appl. Math. 42(2):281\u2013296","journal-title":"SIAM J. Appl. Math."},{"key":"41_CR40","doi-asserted-by":"crossref","first-page":"819","DOI":"10.1016\/S0997-7538(98)80007-7","volume":"17","author":"M. Mabrouk","year":"1998","unstructured":"Mabrouk M. (1998) A unified variational for the dynamics of perfect unilateral constraints. Eur. J. Mech. A\/Solids 17, 819\u2013842","journal-title":"Eur. J. Mech. A\/Solids"},{"issue":"1","key":"41_CR41","first-page":"1","volume":"5","author":"P. Machanda","year":"2002","unstructured":"Machanda P., Siddiqi A.H. (2002) Rate dependent evolution quasivariational inequalities and state-dependent sweeping processes. Adv. in Nonlinear Var. Inequal. 5(1):1\u201316","journal-title":"Adv. in Nonlinear Var. Inequal."},{"key":"41_CR42","doi-asserted-by":"crossref","unstructured":"Monteiro Marques, M.P.D.: Differential Inclusions in NonSmooth Mechanical Problems: Shocks and Dry Friction. Birkhauser (1993)","DOI":"10.1007\/978-3-0348-7614-8"},{"key":"41_CR43","first-page":"871","volume":"256","author":"J.J. Moreau","year":"1963","unstructured":"Moreau J.J. (1963) Les liaisons unilat\u00e9rales et le principe de Gauss. Comptes Rendus de l\u2019 des Sci 256, 871\u2013874","journal-title":"Comptes Rendus de l\u2019 des Sci"},{"issue":"1","key":"41_CR44","doi-asserted-by":"crossref","first-page":"153","DOI":"10.1137\/0304014","volume":"4","author":"J.J. Moreau","year":"1966","unstructured":"Moreau J.J. (1966) Quadratic programming in mechanics: dynamics of one sided constraints. SIAM J. Control 4(1):153\u2013158","journal-title":"SIAM J. Control"},{"key":"41_CR45","unstructured":"Moreau, J.J.: Rafle par un convexe variable (premi\u00e8re partie), expos\u00e9 no 15. S\u00e9minaire d\u2019analyse convexe, University of Montpellier, 43\u00a0pp (1971)"},{"key":"41_CR46","unstructured":"Moreau, J.J.: Rafle par un convexe variable (deuxi\u00e8me partie) expos\u00e9 no 3. S\u00e9minaire d\u2019analyse convexe, University of Montpellier, 36\u00a0pp (1972)"},{"key":"41_CR47","first-page":"791","volume":"t.276","author":"J.J. Moreau","year":"1973","unstructured":"Moreau J.J. (1973) Problme d\u2019\u00e9volution associ\u0107 a un convexe mobile d\u2019un espace hilbertien. Comptes Rendus de l\u2019AcadTmie des Sci, S\u00e9ries A-B, t.276, 791\u2013794","journal-title":"Comptes Rendus de l\u2019AcadTmie des Sci, S\u00e9ries A-B"},{"key":"41_CR48","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1016\/0022-0396(77)90085-7","volume":"26","author":"J.J. Moreau","year":"1977","unstructured":"Moreau J.J. (1977) Evolution problem associated with a moving convex set in a Hilbert space. J. Differ. Equ. 26, 347\u2013374","journal-title":"J. Differ. Equ."},{"key":"41_CR49","unstructured":"Moreau, J.J.: Approximation en graphe d\u2019une \u00e9volution discontinue. RAIRO Analyse num\u00e9rique\/ Numer. Anal. 12, 75\u201384 (1978)"},{"key":"41_CR50","unstructured":"Moreau, J.J.: Liaisons unilat\u00e9rales sans frottement et chocs in\u00e9lastiques. Comptes Rendus de l\u2019AcadTmie des Sci. 296 serie II, 1473\u20131476 (1983)"},{"key":"41_CR51","first-page":"1","volume-title":"Nonsmooth Mechanics and Applications, CISM, Courses and Lectures, vol. 302","author":"J.J. Moreau","year":"1988","unstructured":"Moreau J.J. (1988) Unilateral contact and dry friction in finite freedom dynamics. In: Moreau J.J., Panagiotopoulos P.D. (eds) Nonsmooth Mechanics and Applications, CISM, Courses and Lectures, vol 302. Springer, Berlin Heidelberg New York, pp. 1\u201382"},{"key":"41_CR52","first-page":"93","volume":"supp.(4)","author":"J.J. Moreau","year":"1994","unstructured":"Moreau J.J. (1994) Some numerical methods in multibody dynamics: Application to granular materials. Eur. J. Mech. A\/Solids supp.(4):93\u2013114","journal-title":"Eur. J. Mech. A\/Solids"},{"key":"41_CR53","doi-asserted-by":"crossref","unstructured":"Moreau, J.J.: Numerical aspects of the sweeping process. Comput. Methods Appl. Mech. Eng. 177, 329\u2013349 (1999). Special issue on computational modeling of contact and friction, Martins, J.A.C., Klarbring, A. (eds.)","DOI":"10.1016\/S0045-7825(98)00387-9"},{"key":"41_CR54","volume-title":"Novel Approaches in Civil Engineering, Series: Lecture Notes in Applied and Computational Mechanics","author":"J.J. Moreau","year":"2003","unstructured":"Moreau J.J. (2003) An introduction to unilateral dynamics. In: FrTmond M., Maceri F. (eds) Novel Approaches in Civil Engineering, Series: Lecture Notes in Applied and Computational Mechanics. Springer, Berlin Heidelberg New York"},{"key":"41_CR55","unstructured":"Pang, J.S., Stewart, D.: Differential variational inequalities. Preprint (2004)"},{"key":"41_CR56","unstructured":"Perold, A.: Fundamentals of a continuous time simplex method. Technical Report SOL 78-26, Systems Optimization Laboratory, Dept. of Operations Research, Stanford University (1978)"},{"issue":"12","key":"41_CR57","doi-asserted-by":"crossref","first-page":"2139","DOI":"10.1016\/S0005-1098(03)00237-1","volume":"39","author":"A.Y. Pogromsky","year":"2003","unstructured":"Pogromsky A.Y., Heemels W.P.M.H., Nijmeijer H. (2003) On solution concepts and well-posedness of linear relay systems. Automatica 39(12):2139\u20132147","journal-title":"Automatica"},{"issue":"3","key":"41_CR58","doi-asserted-by":"crossref","first-page":"208","DOI":"10.1109\/TAC.1987.1104574","volume":"32","author":"A. Saberi","year":"1987","unstructured":"Saberi A., Sannuti P. (1987) Cheap and singular controls for linear quadratic regulators. IEEE Trans. Autom. Control 32(3):208\u2013219","journal-title":"IEEE Trans. Autom. Control"},{"issue":"2","key":"41_CR59","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1109\/TAC.1969.1099133","volume":"14","author":"M.K. Sain","year":"1969","unstructured":"Sain M.K., Massey J.L. (1969) Invertibility of linear time-invariant dynamical systems. IEEE Trans. Autom. Control 14(2):141\u2013149","journal-title":"IEEE Trans. Autom. Control"},{"issue":"1","key":"41_CR60","doi-asserted-by":"crossref","first-page":"424","DOI":"10.1016\/0005-1098(83)90073-0","volume":"19","author":"P. Sannuti","year":"1983","unstructured":"Sannuti P. (1983) Direct singular pertubation analysis of high gain and cheap control problem. Automatica 19(1):424\u2013440","journal-title":"Automatica"},{"issue":"5","key":"41_CR61","doi-asserted-by":"crossref","first-page":"1655","DOI":"10.1080\/00207178708933840","volume":"45","author":"P. Sannuti","year":"1987","unstructured":"Sannuti P., Saberi A. (1987) Special coordinate basis for multivariable linear systems\u2014finite and infinite zero structure, squaring down and decoupling. Int. J. Control 45(5):1655\u20131704","journal-title":"Int. J. Control"},{"issue":"7","key":"41_CR62","doi-asserted-by":"crossref","first-page":"633","DOI":"10.1109\/TAC.1985.1104031","volume":"30","author":"P. Sannuti","year":"1985","unstructured":"Sannuti P., Wason H. (1985) Multiple time-scale decomposition in cheap control problemes\u2014singular control. IEEE Trans. Autom. Control 30(7):633\u2013644","journal-title":"IEEE Trans. Autom. Control"},{"key":"41_CR63","first-page":"671","volume":"277","author":"M. Schatzman","year":"1973","unstructured":"Schatzman M. (1973) Sur une classe de probl\u00e9mes hyperboliques non lin\u00e9aires. Comptes Rendus de l\u2019Acad\u00e9mie des Sci S\u00e9rie A 277, 671\u2013674","journal-title":"Comptes Rendus de l\u2019Acad\u00e9mie des Sci S\u00e9rie A"},{"issue":"3","key":"41_CR64","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1016\/0362-546X(78)90022-6","volume":"2","author":"M. Schatzman","year":"1978","unstructured":"Schatzman M. (1978) A class of nonlinear differential equations of second order in time. Nonlinear Anal. Theory Methods Appl. 2(3):355\u2013373","journal-title":"Nonlinear Anal. Theory Methods Appl."},{"key":"41_CR65","unstructured":"Schwartz, L.: Analyse III, Calcul Int\u00e9gral. Hermann (1993)"},{"key":"41_CR66","unstructured":"Shilov, G.E., Gurevich, B.L.: Integral Measure and Derivative. A Unified Approach. , Englewood Cliffs, (1966). Hermann, Paris (1993)"},{"issue":"1","key":"41_CR67","first-page":"17","volume":"5","author":"A.H. Siddiqi","year":"2002","unstructured":"Siddiqi A.H., Machanda P. (2002) Variants of Moreau\u2019s sweeping process. Adv. Nonlinear Var. Inequal. 5(1):17\u201328","journal-title":"Adv. Nonlinear Var. Inequal."},{"key":"41_CR68","doi-asserted-by":"crossref","unstructured":"Siddiqi, A.H., Machanda, P., Brokate, M.: On some recent developments concerning Moreau\u2019s sweeping process. In: Siddiqi, A.H., Kocvara, M. (eds.) International Conference on Emerging Areas in Industrial and applied mathematics. GNDU Amritsar, India. Kluwer (2001)","DOI":"10.1007\/978-1-4613-0263-6_15"},{"key":"41_CR69","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1007\/s002050050129","volume":"145","author":"D. Stewart","year":"1998","unstructured":"Stewart D. (1998) Convergence of a time-stepping scheme for rigid-body dynamics and resolution of PainlevT\u2019s problem. Archi. Rational Mech. Anal. 145, 215\u2013260","journal-title":"Archi. Rational Mech. Anal."},{"issue":"1","key":"41_CR70","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1137\/S0036144599360110","volume":"42","author":"D. Stewart","year":"2000","unstructured":"Stewart D. (2000) Rigid body dynamics with friction and impact. SIAM Rev. 42(1):3\u201339","journal-title":"SIAM Rev."},{"issue":"4","key":"41_CR71","doi-asserted-by":"crossref","first-page":"458","DOI":"10.1109\/9.566656","volume":"42","author":"A.A. ten Dam","year":"1997","unstructured":"ten Dam A.A., Dwarshuis E., Willems J.C. (1997) The contact problem for linear continuous-time dynamical systems: a geometric approach. IEEE Trans. Autom. Control 42(4):458\u2013472","journal-title":"IEEE Trans. Autom. Control"},{"issue":"1","key":"41_CR72","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0022-0396(03)00129-3","volume":"193","author":"L. Thibault","year":"2003","unstructured":"Thibault L. (2003) Sweeping process with regular and nonregular sets. J. Differ. Equ. 193(1):1\u201326","journal-title":"J. Differ. Equ."},{"key":"41_CR73","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0109998","volume-title":"An Introduction to Hybrid Dynamical Systems","author":"A.J. van der Schaft","year":"2000","unstructured":"van der Schaft A.J., Schumacher J.M. (2000) An Introduction to Hybrid Dynamical Systems. Springer, London"},{"issue":"3","key":"41_CR74","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1007\/BF02551330","volume":"9","author":"A.J. Schaft van Der","year":"1996","unstructured":"van Der Schaft A.J., Schumacher J.M. (1996) The complementary-slackness class of hybrid systems. Math Control Signals Systems 9(3):266\u2013301","journal-title":"Math Control Signals Systems"},{"issue":"4","key":"41_CR75","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1109\/9.664151","volume":"43","author":"A.J. Schaft van der","year":"1998","unstructured":"van der Schaft A.J., Schumacher J.M. (1998) Complementarity modeling of hybrid systems. IEEE Trans. Autom. Control 43(4):483\u2013490","journal-title":"IEEE Trans. Autom. Control"}],"container-title":["Mathematical Programming"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10107-006-0041-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10107-006-0041-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10107-006-0041-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,9]],"date-time":"2023-05-09T14:38:44Z","timestamp":1683643124000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10107-006-0041-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,10,28]]},"references-count":75,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2008,5]]}},"alternative-id":["41"],"URL":"https:\/\/doi.org\/10.1007\/s10107-006-0041-0","relation":{},"ISSN":["0025-5610","1436-4646"],"issn-type":[{"value":"0025-5610","type":"print"},{"value":"1436-4646","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,10,28]]}}}