Go to:
Logótipo
Você está em: Start > Publications > View > Nondegenerate necessary conditions for linear optimal control problems with higher index state constraints
Map of Premises
Principal
Publication

Nondegenerate necessary conditions for linear optimal control problems with higher index state constraints

Title
Nondegenerate necessary conditions for linear optimal control problems with higher index state constraints
Type
Article in International Conference Proceedings Book
Year
2005
Conference proceedings International
Pages: 2149-2151
44th IEEE Conference on Decision Control/European Control Conference (CCD-ECC)
Seville, SPAIN, DEC 12-15, 2005
Indexing
Publicação em ISI Web of Knowledge ISI Web of Knowledge - 0 Citations
Publicação em Scopus Scopus - 0 Citations
Other information
Authenticus ID: P-000-6ZC
Abstract (EN): There are certain optimal control problems with state constraints for which the standard versions of the necessary conditions of optimality are unable to provide information to select minimizers. In the recent years, there has been some literature on stronger forms of the maximum principle, the so-called nondegenerate necessary conditions, that are informative for those problems. These conditions can be applied when certain constraint qualifications are satisfied. However, when the state constraints have higher index (i.e. their first derivative with respect to time does not depend on the control) the nondegenerate necessary conditions existent in the literature cannot be applied. This is because their constraint qualifications are never satisfied for higher index state constraints. Here, we provide a nondegenerate form of the necessary conditions that can be applied to problems with higher index state constraints. We note that control problems with higher index state constraints arise frequently in mechanical systems, when there is a constraint on the position (an obstacle in the path, for example) and the control acts as a force or acceleration.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 3
Documents
We could not find any documents associated to the publication.
Related Publications

Of the same authors

Solving Hop-constrained MST problems with ACO, FEP Working Paper, n. 493, 2013 (2013)
Academic Work
Marta Monteiro; Dalila B.M.M. Fontes; Fernando A.C.C. Fontes
Solving Concave Network Flow Problems (2012)
Academic Work
Marta Monteiro; Dalila B.M.M. Fontes; Fernando A.C.C. Fontes
Restructuring Facility Networks under Economy of Scales (2009)
Academic Work
Marta Monteiro; Dalila B.M.M. Fontes; Fernando A.C.C. Fontes

See all (219)

Recommend this page Top
Copyright 1996-2025 © Faculdade de Medicina Dentária da Universidade do Porto  I Terms and Conditions  I Acessibility  I Index A-Z
Page created on: 2025-07-10 at 00:04:11 | Privacy Policy | Personal Data Protection Policy | Whistleblowing | Electronic Yellow Book