Asymptotic optimality conditions in optimal control

• Grant number: 22/16005-0
• Support Opportunities: Regular Research Grants
• Start date: June 01, 2023
• End date: August 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Valeriano Antunes de Oliveira
• Grantee: Valeriano Antunes de Oliveira
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Associated researchers: Moisés Rodrigues Cirilo do Monte ; Roberto Andreani

Abstract

The proposal of this research project consists in the development of asymptotic optimality conditions (of the sequential type) for optimal control problems with mixed constraints. Constraint qualifications associated to these optimality conditions will be established. An algorithm will be proposed for numerical solution of optimal control problems whose stopping criteria will be based on the asymptotic optimality conditions. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

MOREIRA, RODRIGO B.; DE OLIVEIRA, VALERIANO A.. AN ASYMPTOTIC WEAK MAXIMUM PRINCIPLE. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, v. 62, n. 5, p. 27-pg., 2024-01-01. (22/16005-0, 13/07375-0)

ANDREANI, ROBERTO; ASCONA, JOHN FRANK MATOS; DE OLIVEIRA, VALERIANO ANTUNES. A Weak Maximum Principle for Discrete Optimal Control Problems with Mixed Constraints. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, v. 203, n. 1, p. 38-pg., 2024-09-10. (22/16005-0, 13/07375-0)

DE OLIVEIRA, VALERIANO ANTUNES. Optimality conditions and duality for a class of continuous-time linear optimization problems. COMPUTATIONAL & APPLIED MATHEMATICS, v. 43, n. 5, p. 29-pg., 2024-07-01. (22/16005-0, 13/07375-0)