Interval optimal control for uncertain problems

Author(s)

Leal, Ulcilea ^[1] ; Lodwick, Weldon ^[2] ; Silva, Geraldo ^[3] ; Maqui-Huaman, Gino G. ^[4]

Affiliation

^[1] Fed Univ Triangulo Mineiro UFTM, BR-38280000 Iturama, MG - Brazil

^[2] Univ Colorado Denver UCDenver, Dept Math & Stat Sci, Denver, CO 80202 - USA

^[3] Sao Paulo State Univ Unesp, Inst Biosci Humanities & Exact Sci, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil

^[4] Univ Fed Para UFPA, Inst Ciencias Exatas & Nat, BR-66075110 Belem, Para - Brazil

• Document type: Journal article
• Source: FUZZY SETS AND SYSTEMS; v. 402, n. SI, p. 142-154, JAN 1 2021.
• Web of Science Citations: 0

Abstract

This paper addresses optimal control problems with an interval-valued objective function. We consider the lower and upper order relation on the interval space and with this order relation we obtain optimality conditions. Using two different derivative concepts we propose necessary and sufficient conditions for the interval optimal control problems. Some numerical examples are presented. (C) 2019 Elsevier B.V. All rights reserved. (AU)

• FAPESP's process: 12/00189-3 - Weed otimization and control models with uncertain parameters
• Grantee: Ulcilea Alves Severino Leal
• Support Opportunities: Scholarships in Brazil - Doctorate
• 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