A necessary and sufficient condition for duality in control problems: KT-invex functionals

作者：Arana Jimenez M^*; Ruiz Garzon G; Beato Moreno A; Zafra Garrido M J

来源：Optimization, 2012, 61(1): 89-97.

DOI：10.1080/02331931003686146

• continuous optimization
• control problems
• duality
• invexity

In this article, we introduce a new condition on functionals of a control problem, and for that purpose we define the KT-invex functionals. We extend recent optimality control works to the study of duality. In this way we establish weak, strong and converse duality results under KT-invexity. Furthermore, we prove that KT-invexity is not only a sufficient condition for establishing duality, but it is necessary.

• 出版日期2012