NDLI: Necessary Conditions Under Mangasarian-Fromowitz Type Assumptions For Mixed Constrained Control Problems

Content Provider	IEEE Xplore Digital Library
Author	do Rosario de Pinho, M.
Copyright Year	2005
Description	Author affiliation: ISR and DEEC, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal mrpinho@fe.up.pt (do Rosario de Pinho, M.)
Abstract	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. Not ably we consider problems in which the dynamics is nonsooth. The Unmaximized Hamiltonian Inclusion type conditions we present here are written as a weak version of nonsmoothmaximum principle stated in terms of a joint Clarke subdifferential. They are of interest since, incontrast to more traditional non- smooth maximum principles, they give sufficiency for normal linear convex problems.
Starting Page	266
Ending Page	271
File Size	163260
Page Count	6
File Format	PDF
ISBN	0780395670
DOI	10.1109/CDC.2005.1582166
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-12-15
Publisher Place	Spain
Access Restriction	Subscribed
Rights Holder	IEEE/EUCA
Subject Keyword	Optimal control Jacobian matrices Robot sensing systems Systems engineering and theory Differential algebraic equations Chemical processes Mathematical programming
Content Type	Text
Resource Type	Article

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