Necessary conditions under Mangasarian-Fromowitz type assumptions for mixed constrained control problems

• Type: Article in International Conference Proceedings Book
• Date: 2005

Authors

de pinho, md (Author) FEUP

Conference proceedings International

Title: IEEE Conference on Decision and Control

Pages: 266-271

44th IEEE Conference on Decision Control/European Control Conference (CCD-ECC)

Seville, SPAIN, DEC 12-15, 2005

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COMPENDEX

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

CORDIS: Technological sciences > Engineering > Control engineering

Other information

Authenticus ID: P-000-6Z6

DOI: 10.1109/cdc.2005.1582166

Abstract (EN): Unmaximized Hamiltonian Inclusion (UHI) type conditions are derived for optimal control problems with mixed constraints. For such problems different necessary conditions of optimality, including UHI type conditions, have previously been proved assuming that the Jacobian of the mixed constraint functional with respect to the control variable have full rank. Here we show that such requirement can be replaced by possibly weaker conditions, namely, by Mangasarian Fromowitz type conditions. Notably we consider problems in which the dynamics is nonsmooth. The Unmaximized Hamiltonian Inclusion type conditions we present here are written as a weak version of nonsmooth maximum principle stated in terms of a joint Clarke subdifferential. They are of interest since, in contrast to more traditional nonsmooth maximum principles, they give sufficiency for normal linear convex problems.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6