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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

ON THE PROPERNESS OF AN IMPULSIVE CONTROL EXTENSION OF DYNAMIC OPTIMIZATION PROBLEMS

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Author(s):
Karamzin, D. Y. [1, 2] ; de Oliveira, V. A. [1] ; Pereira, F. L. [3] ; Silva, G. N. [1]
Total Authors: 4
Affiliation:
[1] Univ Estadual Paulista, UNESP, Dept Appl Math, Sao Jose Do Rio Preto, SP - Brazil
[2] Russian Acad Sci, Ctr Comp, Moscow - Russia
[3] Univ Porto, Fac Engn, SYSTEC, P-4200465 Oporto - Portugal
Total Affiliations: 3
Document type: Journal article
Source: ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS; v. 21, n. 3, p. 857-875, JUL-SEP 2015.
Web of Science Citations: 12
Abstract

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. (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