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Optimality conditions for control problems involving state dependent control constraints

Title
Optimality conditions for control problems involving state dependent control constraints
Type
Article in International Conference Proceedings Book
Year
2002
Authors
Maria do Rosário de Pinho
(Author)
FEUP
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Conference proceedings International
Pages: 1199-1204
5th IFAC Symposium on Nonlinear Control Systems
ST PETERSBURG, RUSSIA, JUL 04-06, 2001
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FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering
Other information
Authenticus ID: P-000-RP5
Resumo (PT): Optimality conditions for control problems with state-dependent control constraints in the form of equalities are presented in the form of a weak nonsmooth maximum principle. These conditions apply to problems with possibly nonsmooth data. It is shown that the necessary conditions obtained are also sufficient conditions for convex normal problems.
Abstract (EN): Optimality conditions in the form of a weak nonsmooth maximum principle for control problems with state-dependent control equality constraints are derived. They apply to problems with possibly nonsmooth data and with pointwise set constaints on some components of the control variable. An example illustrates the distinction between the conditions reported in here and some weak maximum principles previously derived. Notably, it is also shown that the necessary conditions obtained are sufficient conditions for "convex normal" problems. Copyright (C) 2001 IFAC.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 6
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