TY - JOUR
T1 - A class of multiobjective control problems
AU - De Oliveira, V. A.
AU - Silva, G. N.
AU - Rojas-Medar, M. A.
PY - 2009/1
Y1 - 2009/1
N2 - We introduce the class of MP-pseudoinvex multiobjective optimal control problems. We show that the concept of MP-pseudoinvexity is a sufficient condition of optimality and, further, that problems such that every control process satisfying Pontryagin's maximum principle is an optimal process are necessarily MP-pscudoinvex problems. Moreover, a sub-class of the MP-pseudoinvex problems, which we call MP-invex multiobjective optimal control problems, is defined. We prove that the set of optimal solutions of MP-invex multiobjective problems coincides with the set of optimal solutions of a related scalar problem.
AB - We introduce the class of MP-pseudoinvex multiobjective optimal control problems. We show that the concept of MP-pseudoinvexity is a sufficient condition of optimality and, further, that problems such that every control process satisfying Pontryagin's maximum principle is an optimal process are necessarily MP-pscudoinvex problems. Moreover, a sub-class of the MP-pseudoinvex problems, which we call MP-invex multiobjective optimal control problems, is defined. We prove that the set of optimal solutions of MP-invex multiobjective problems coincides with the set of optimal solutions of a related scalar problem.
KW - Control
KW - Generalized invexity
KW - Multiple objective programming
KW - Optimality conditions
UR - https://www.scopus.com/pages/publications/60349093873
U2 - 10.1002/oca.863
DO - 10.1002/oca.863
M3 - Article
AN - SCOPUS:60349093873
SN - 0143-2087
VL - 30
SP - 77
EP - 86
JO - Optimal Control Applications and Methods
JF - Optimal Control Applications and Methods
IS - 1
ER -