| Автор | Camilli, Fabio |
| Автор | Falcone, Maurizio |
| Дата выпуска | 1999 |
| dc.description | In this paper we study an approximation scheme for a class of control problems involving an ordinary control v, an impulsive control u and its derivative $\dot u$. Adopting a space-time reparametrization of the problem which adds one variable to the state space we overcome some difficulties connected to the presence of $\dot u$. We construct an approximation scheme for that augmented system, prove that it converges to the value function of the augmented problem and establish an error estimates in L <sup>∞</sup> for this approximation. Moreover, a characterization of the limit of the discrete optimal controls is given showing that it converges (in a suitable sense) to an optimal control for the continuous problem. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 1999 |
| Тема | Impulsive control |
| Тема | approximation scheme |
| Тема | dynamic programming |
| Тема | viscosity solution |
| Название | Approximation of control problems involving ordinary and impulsive controls |
| Тип | research-article |
| DOI | 10.1051/cocv:1999108 |
| Electronic ISSN | 1262-3377 |
| Print ISSN | 1292-8119 |
| Журнал | ESAIM: Control, Optimisation and Calculus of Variations |
| Том | 4 |
| Первая страница | 159 |
| Последняя страница | 176 |
| Аффилиация | Camilli Fabio; Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy; Camilli@dm.unito.it. |
| Аффилиация | Falcone Maurizio; Dipartimento di Matematica, Università di Roma “La Sapienza", P.le Aldo Moro 2, 00185 Roma, Italy; Falcone@axcasp.caspur.it. |
