KT-invex control problem

In this paper, we introduce a new condition on functions of a control problem, for which we define a KT-invex control problem. We prove that a KT-invex control problem is characterized in order that a Kuhn–Tucker point is an optimal solution. We generalize optimality results of known mathematical pr...

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Bibliographic Details
Published in:Applied mathematics and computation 2008-04, Vol.197 (2), p.489-496
Main Authors: Arana-Jiménez, M., Osuna-Gómez, R., Rufián-Lizana, A., Ruiz-Garzón, G.
Format: Article
Language:English
Subjects:
Calculus of variations and optimal control
Control problem
Exact sciences and technology
Invexity
Kuhn–Tucker optimality conditions
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Sciences and techniques of general use
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Summary:In this paper, we introduce a new condition on functions of a control problem, for which we define a KT-invex control problem. We prove that a KT-invex control problem is characterized in order that a Kuhn–Tucker point is an optimal solution. We generalize optimality results of known mathematical programming problems. We illustrate these results with examples.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2007.07.064