✦ LIBER ✦

Optimal control and invexity

✍ Scribed by B.D. Craven

Book ID: 104353254
Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 468 KB
Volume: 35
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(98)00002-9

No coin nor oath required. For personal study only.

✦ Synopsis

For a constrained minimization problem in infinite dimensions, in particular an optimal control problem, the attainment of a minimum follows if necessary Lagrangian conditions---Karnsh-Kuhn-Tucker or equivalently Pontryagin--are solvable, provided that a suitable invex hypothesis holds. Duality results are also obtained, where part of the constraint system describes a curved (hyper-) surface, and the invex property is assumed on that surface.

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