On the properness of an impulsive control extension of dynamic optimization problems

摘要: This article investigates the properness, or well-posedness, of impulsive extension a conventional optimal control problem. includes both well-posedness solution to systems arising as result an ordinary differential systems, and existence theorems. Well-posedness in classic Cauchy sense is proved. Approximation lemmas that guarantee sensitivity small perturbations variables are obtained. Filippov type theorems established. A model example provided show relevance controls problems which under study.