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From the Hamiltonian viewpoint we obtain the equations of motion for optimal control problems in the Lagrangian formalism by means of a proper Lagrangian submanifold. Singular optimal control problems and overdetermined ones are also studied in the paper.<\/jats:p>","DOI":"10.1137\/120903488","type":"journal-article","created":{"date-parts":[[2015,2,5]],"date-time":"2015-02-05T12:19:19Z","timestamp":1423138759000},"page":"414-433","source":"Crossref","is-referenced-by-count":3,"title":["Morse Families In Optimal Control Problems"],"prefix":"10.1137","volume":"53","author":[{"given":"Mar\u00eda","family":"Barbero-Lin\u0342\u00e1n","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"David Iglesias","family":"Ponte","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"David","family":"Mart\u00cdn de Diego","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2015,2,5]]},"reference":[{"key":"atypb1","unstructured":"R. Abraham and J. E. 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