| Full text | |
| Author(s): |
Karamzin, Dmitry Yu.
[1, 2]
;
de Oliveira, Valeriano A.
[1]
;
Pereira, Fernando L.
[3]
;
Silva, Geraldo N.
[1]
Total Authors: 4
|
| Affiliation: | [1] UNESP Univ Estadual Paulista, Inst Biociencias Letras & Ciencias Exatas, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[2] Comp Ctr RAS, Moscow 119991 - Russia
[3] Univ Porto, Fac Engn, P-4200465 Oporto - Portugal
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | European Journal of Control; v. 20, n. 6, p. 284-291, NOV 2014. |
| Web of Science Citations: | 9 |
| Abstract | |
Some problems of Calculus of Variations do not have solutions in the class of classic continuous and smooth arcs. This suggests the need of a relaxation or extension of the problem ensuring the existence of a solution in some enlarged class of arcs. This work aims at the development of an extension for a more general optimal control problem with nonlinear control dynamics in which the control function takes values in some closed, but not necessarily bounded, set. To achieve this goal, we exploit the approach of R.V. Gamkrelidze based on the generalized controls, but related to discontinuous arcs. This leads to the notion of generalized impulsive control. The proposed extension links various approaches on the issue of extension found in the literature. (C) 2014 European Control Association. Published by Elsevier Ltd. All rights reserved. (AU) | |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |