TY - JOUR
T1 - Optimality Conditions for Discrete-Time Control Problems
AU - Rojas-Medar, Marko Antonio
AU - Isoton, Camila
AU - dos Santos, Lucelina Batista
AU - Vivanco-Orellana, Violeta
N1 - Publisher Copyright:
© 2020, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2020/4/1
Y1 - 2020/4/1
N2 - We consider an optimal control problem governed by a system of nonlinear difference equations. We obtain the existence of the optimal control as well as first-order optimality conditions of Pontryagin type by using the Dubovitskii–Milyutin formalism. Also, we give the necessary and sufficient conditions for global optimality.
AB - We consider an optimal control problem governed by a system of nonlinear difference equations. We obtain the existence of the optimal control as well as first-order optimality conditions of Pontryagin type by using the Dubovitskii–Milyutin formalism. Also, we give the necessary and sufficient conditions for global optimality.
KW - Discrete Maximum Principle
KW - Dubovitskii–Milyutin formalism
KW - Optimality conditions
UR - https://www.scopus.com/pages/publications/85081378494
U2 - 10.1007/s10957-020-01638-5
DO - 10.1007/s10957-020-01638-5
M3 - Article
AN - SCOPUS:85081378494
SN - 0022-3239
VL - 185
SP - 115
EP - 133
JO - Journal of Optimization Theory and Applications
JF - Journal of Optimization Theory and Applications
IS - 1
ER -