{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T00:19:46Z","timestamp":1725495586461},"publisher-location":"Berlin, Heidelberg","reference-count":11,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540563204"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/3-540-56320-2_67","type":"book-chapter","created":{"date-parts":[[2007,11,19]],"date-time":"2007-11-19T10:53:33Z","timestamp":1195469613000},"page":"301-314","source":"Crossref","is-referenced-by-count":2,"title":["Differential-Geometric methods: A powerful set of new tools for optimal control"],"prefix":"10.1007","author":[{"given":"H\u00e9ctor J.","family":"Sussmann","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"19_CR1","doi-asserted-by":"publisher","first-page":"326","DOI":"10.1137\/0304027","volume":"4","author":"V.G. Boltyanski","year":"1966","unstructured":"V.G. Boltyanski: Sufficient conditions for optimality and the justification of the Dynamic Programming Principle. SIAM J. Control 4, pp. 326\u2013361, 1966","journal-title":"SIAM J. Control"},{"key":"19_CR2","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1137\/0310021","volume":"10","author":"R.W. Brockett","year":"1972","unstructured":"R.W. Brockett: System Theory on group manifolds and coset spaces. SIAM J. Control 10, pp. 265\u2013284, 1972","journal-title":"SIAM J. Control"},{"key":"19_CR3","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1016\/B978-0-12-395651-4.50035-0","volume-title":"Int. Symp. Nonlinear Diff. Equations and Nonlinear Mechanics","author":"R. Hermann","year":"1963","unstructured":"R. Hermann: On the accessibility problem in control theory. In: Int. Symp. Nonlinear Diff. Equations and Nonlinear Mechanics, J.P. LaSalle, S. Lefschetz Eds., pp. 325\u2013332. New York: Academic Press, 1963"},{"key":"19_CR4","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-02581-9","volume-title":"Nonlinear Control Systems: An Introduction","author":"A. Isidori","year":"1989","unstructured":"A. Isidori: Nonlinear Control Systems: An Introduction. Berlin: Springer-Verlag, second ed., 1989","edition":"second ed."},{"issue":"1","key":"19_CR5","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1137\/0312005","volume":"12","author":"A.J. Krener","year":"1974","unstructured":"A.J. Krener: A generalization of Chow's Theorem and the bang-bang theorem to nonlinear control problems. SIAM J. Control 12(1), pp. 43\u201351, 1974","journal-title":"SIAM J. Control"},{"key":"19_CR6","doi-asserted-by":"publisher","first-page":"573","DOI":"10.1137\/0308042","volume":"8","author":"C. Lobry","year":"1978","unstructured":"C. Lobry: Contr\u00f4labilit\u00e9 des syst\u00e8mes non-lin\u00e9aires. SIAM J. Control 8, pp. 573\u2013605, 1978","journal-title":"SIAM J. Control"},{"issue":"No.4","key":"19_CR7","doi-asserted-by":"publisher","first-page":"584","DOI":"10.1137\/0323037","volume":"23","author":"S. Lojasiewicz Jr.","year":"1985","unstructured":"S. Lojasiewicz Jr. and H.J. Sussmann: Some examples of reachable sets and optimal cost functions that fail to be subanalytic. S.I.A.M. J. Control and Optimization 23, No. 4, pp. 584\u2013598, 1985","journal-title":"S.I.A.M. J. Control and Optimization"},{"key":"19_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2101-0","volume-title":"Nonlinear dynamical control systems","author":"H. Nijmeijer","year":"1990","unstructured":"H. Nijmeijer and A.J. Van der Schaft: Nonlinear dynamical control systems. New York: Springer-Verlag, 1990"},{"key":"19_CR9","doi-asserted-by":"crossref","first-page":"367","DOI":"10.2140\/pjm.1990.145.367","volume":"145","author":"J.A. Reeds","year":"1990","unstructured":"J.A. Reeds and L.A. Shepp: Optimal paths for a car that goes both forwards and backwards. Pacific J. Math. 145, pp. 367\u2013393, 1990","journal-title":"Pacific J. Math."},{"volume-title":"Nonlinear Controllability and Optimal Control","year":"1990","key":"19_CR10","unstructured":"H.J. Sussmann, ed.: Nonlinear Controllability and Optimal Control. New York: Marcel Dekker, 1990"},{"key":"19_CR11","unstructured":"H.J. Sussmann and G. Tang: \u201cShortest paths for the Reeds-Shepp car: a worked out example of the use of geometric techniques in nonlinear optimal control. Rutgers Center for Systems and Control Technical Report 91\u201310, September 1991"}],"container-title":["Lecture Notes in Computer Science","Future Tendencies in Computer Science, Control and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-56320-2_67.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T00:49:13Z","timestamp":1619570953000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-56320-2_67"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540563204"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/3-540-56320-2_67","relation":{},"subject":[]}}