RT Journal Article
T1 Optimality Conditions for Nonregular Optimal Control Problems and Duality
A1 Osuna-Gómez, Rafaela
A1 Vivanco-Orellana, Violeta
A1 Rojas-Medar, Marko Antonio
A1 Hernández-Jiménez, Beatriz
K1 Control problem
K1 nonregular problems
K1 optimality condition
AB We define a new class of optimal control problems and show that this class is the largest one of control problems where every admissible process that satisfies the Extended Pontryaguin Maximum Principle is an optimal solution of nonregular optimal control problems. In this class of problems the local and global minimum coincide. A dual problem is also proposed, which may be seen as a generalization of the Mond–Weir-type dual problem, and it is shown that the 2-invexity notion is a necessary and sufficient condition to establish weak, strong, and converse duality results between a nonregular optimal control problem and its dual problem. We also present an example to illustrate our results.
PB Taylor & Francis
YR 2017
FD 2017-09-22
LK https://hdl.handle.net/10433/19472
UL https://hdl.handle.net/10433/19472
LA en
NO V. Vivanco-Orellana, R. Osuna-Gómez, B. Hernández-Jiménez & M. A. Rojas-Medar (2018) Optimality Conditions for Nonregular Optimal Control Problems and Duality, Numerical Functional Analysis and Optimization, 39:3, 361-382, DOI: 10.1080/01630563.2017.1367694
NO FECYT -- AVANCES EN TEORIA DE OPTIMIZACION: APLICACION EN ENTORNOS DIFUS...
NO Dpto. Economía, Métodos Cuantitativos e Hª Económica
DS RIO
RD May 9, 2026