Nondegenerate necessary conditions of optimality for control problems with state constraints

• Type: Article in International Conference Proceedings Book
• Date: 2002

Authors

fontes, facc (Author) FEUP

Conference proceedings International

Title: IFAC SYMPOSIA SERIES

Pages: 45-50

5th IFAC Symposium on Nonlinear Control Systems

ST PETERSBURG, RUSSIA, JUL 04-06, 2001

Indexing

ISI Web of Knowledge - 2 Citations

Other information

Authenticus ID: P-000-RP2

Abstract (EN): In this paper, first order necessary conditions of optimality for control problems with pathwise state constraints are provided. These conditions axe able to avoid the degeneracy phenomenon which affects standard versions of the maximum principle. A common. feature of the endpoint degeneracy phenomena described in the literature is identified and it is shown that similar phenomena might occur other than at the endpoints of the trajectory. A strengthened form of the maximum principle is established under suitable constraint qualifications, in which the (measure) multiplier associated with the pathwise state constraint is not involved in the nontriviality condition. Copyright (C) 2001 IFAC.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6