Karamzin, D. Y. [UNESP]Oliveira, V. A. de [UNESP]Pereira, F. L.Silva, G. N. [UNESP]2015-10-212015-10-212015-07-01Esaim-control Optimisation And Calculus Of Variations. Les Ulis Cedex A: Edp Sciences S A, v. 21, n. 3, p. 857-875, 2015.1292-8119http://hdl.handle.net/11449/128867This article investigates the properness, or well-posedness, of impulsive extension of a conventional optimal control problem. This includes both well-posedness of the solution to impulsive control systems arising as result of an impulsive extension of ordinary differential systems, and existence theorems. Well-posedness in the classic Cauchy sense is proved. Approximation lemmas that guarantee sensitivity to small perturbations in control variables are obtained. Filippov type existence theorems are established. A model example is provided to show the relevance of the impulsive controls problems which are under study.857-875engOptimal control extensionsWell-posedness of solutionsExistence of solutionsImpulsive controlArtigo10.1051/cocv/2014053WOS:000356012000011Acesso restrito95272849645413413638688119433520