On the properness of an impulsive control extension of dynamic optimization problems
Nenhuma Miniatura disponível
Data
2015-07-01
Autores
Karamzin, D. Y. [UNESP]
Oliveira, V. A. de [UNESP]
Pereira, F. L.
Silva, G. N. [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Edp Sciences S A
Resumo
This 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.
Descrição
Palavras-chave
Optimal control extensions, Well-posedness of solutions, Existence of solutions, Impulsive control
Como citar
Esaim-control Optimisation And Calculus Of Variations. Les Ulis Cedex A: Edp Sciences S A, v. 21, n. 3, p. 857-875, 2015.