{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T14:12:41Z","timestamp":1761487961483,"version":"3.33.0"},"publisher-location":"Berlin, Heidelberg","reference-count":14,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540009139"},{"type":"electronic","value":"9783540365808"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2003]]},"DOI":"10.1007\/3-540-36580-x_34","type":"book-chapter","created":{"date-parts":[[2007,12,9]],"date-time":"2007-12-09T12:13:36Z","timestamp":1197202416000},"page":"466-481","source":"Crossref","is-referenced-by-count":54,"title":["On the Optimal Control of Hybrid Systems: Optimization of Trajectories, Switching Times, and Location Schedules"],"prefix":"10.1007","author":[{"given":"M. Shahid","family":"Shaikh","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter E.","family":"Caines","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2003,3,14]]},"reference":[{"key":"34_CR1","volume-title":"Nonlinear programming theory and algorithms","author":"M.S. Bazaraa","year":"1979","unstructured":"Bazaraa, M.S., C.M. Shetty, C.M.: Nonlinear programming theory and algorithms. John Wiley & Sons, New York (1979)"},{"key":"34_CR2","doi-asserted-by":"publisher","first-page":"145","DOI":"10.1016\/0022-247X(61)90013-0","volume":"3","author":"L.D. Berkovitz","year":"1961","unstructured":"Berkovitz, L.D.: Variational methods in problems of control and programming. J. Math. Anal. Appl. Vol. 3, (1961) 145\u2013169","journal-title":"J. Math. Anal. Appl."},{"key":"34_CR3","doi-asserted-by":"crossref","unstructured":"Branicky, M.S.: Studies in Hybrid Systems: Modeling, Analysis, and Control. PhD thesis, Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA (1995)","DOI":"10.1007\/BFb0020945"},{"key":"34_CR4","doi-asserted-by":"crossref","unstructured":"Broucke, M., Benedetto, M.D.D., Gennaro, S.D., Sangiovanni-Vincentelli, A.: Theory of optimal control using bisimulations. Proceedings of the third international workshop, Hybrid Systems: Computation and Control. Springer-Verlag. Pittsburgh, CA (2000) 89\u2013102","DOI":"10.1007\/3-540-46430-1_11"},{"key":"34_CR5","unstructured":"Caines, P.E.: Notes on Hybrid Systems. Technion & McGill University (2001)"},{"key":"34_CR6","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1090\/S0273-0979-1979-14595-6","volume":"1","author":"I. Ekeland","year":"1979","unstructured":"Ekeland, I.: Nonconvex minimization problems. Bull. Amer. Math. Soc. Vol. 1, No. 3 (1979) 443\u2013474","journal-title":"Bull. Amer. Math. Soc."},{"key":"34_CR7","doi-asserted-by":"crossref","unstructured":"Riedinger, P., Kratz, F., Iung, C., Zanne, C.: Linear Quadratic Optimization of Hybrid Systems. Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, AZ (1999) 3059\u20133064","DOI":"10.1109\/CDC.1999.831404"},{"key":"34_CR8","unstructured":"Shaikh, M.S.: Optimal Control of Hybrid Systems: Theory and Algorithms. PhD thesis, in preparation, Department of Electrical and Computer Engineering, McGill University (2002)"},{"key":"34_CR9","unstructured":"Shaikh, M.S., Caines, P.E.: Trajectory Optimization for Hybrid Control Systems. ECE Research Report, McGill University (2002)"},{"key":"34_CR10","doi-asserted-by":"crossref","unstructured":"Shen, G., Caines, P.E.: Hierarchically accelerated dynamic programming for finite state machines. IEEE Transactions on Automatic Control, (2002) 271\u2013283","DOI":"10.1109\/9.983355"},{"key":"34_CR11","volume-title":"Combinatorial Optimization: Algorithms and Complexity","author":"C.H. Papadimitriou","year":"1982","unstructured":"Papadimitriou, C.H., Steiglitz, K.: Combinatorial Optimization: Algorithms and Complexity. Prentice-Hall, Inc. Englewood Cliffs, NJ, (1982)"},{"key":"34_CR12","doi-asserted-by":"crossref","unstructured":"Sussmann, H. A maximum principle for hybrid optimal control problems Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, AZ, pp.425\u2013430, (1999)","DOI":"10.1109\/CDC.1999.832814"},{"key":"34_CR13","unstructured":"Xu, X., Antsaklis, P.J.: An approach for solving general switched linear quadratic optimal control problems. Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL (2001) 2478\u20132483"},{"key":"34_CR14","unstructured":"Xu, X., Antsaklis, P.J.: An approach to optimal control of switched systems with internally forced switchings. Proceedings of the American Control Conference, Anchorage, AK (2002) 148\u2013153"}],"container-title":["Lecture Notes in Computer Science","Hybrid Systems: Computation and Control"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-36580-X_34","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,23]],"date-time":"2025-01-23T13:16:00Z","timestamp":1737638160000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-36580-X_34"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003]]},"ISBN":["9783540009139","9783540365808"],"references-count":14,"URL":"https:\/\/doi.org\/10.1007\/3-540-36580-x_34","relation":{},"ISSN":["0302-9743"],"issn-type":[{"type":"print","value":"0302-9743"}],"subject":[],"published":{"date-parts":[[2003]]}}}