OPTIMAL-CONTROL AND INVEXITY

Authors
CRAVEN BD
Citation
Bd. Craven, OPTIMAL-CONTROL AND INVEXITY, Computers & mathematics with applications, 35(5), 1998, pp. 17-25
Citations number
4
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
35
Issue
5
Year of publication
1998
Pages
17 - 25
Database
ISI
SICI code
0898-1221(1998)35:5<17:>2.0.ZU;2-T
Abstract
For a constrained minimization problem in infinite dimensions, in part icular an optimal control problem, the attainment of a minimum follows if necessary Lagrangian conditions-Karush-Kuhn-Tucker or equivalently Pontryagin-are solvable, provided that a suitable invex hypothesis ho lds. Duality results are also obtained, where part of the constraint s ystem describes a curved (hyper-) surface, and the invex property is a ssumed on that surface.