Singular normal extremals and conjugate points for Bolza functionals
type: Item
instance of: scholarly article
title: Singular normal extremals and conjugate points for Bolza functionals
zbMATH Open document ID: 1028.49020
DOI: 10.1023/A:1020832020619
author: Yanyan Li
published in: Journal of Optimization Theory and Applications
publication date: 2003-06-18T00:00:00Z
review text: In this paper the author obtains an extremization condition for the most general form of Bolza type functions with constraints on the final state. These results are available also for Lagrange functionals with fixed endpoints. The author uses the class of adjoint variations to express the second variation as well as the nonnegativity condition for the singular control. He obtains the minimum value of the second variation for state variations that do not admit conjugate points with respect to the initial and final time.
Mathematics Subject Classification ID: 49K15
zbMATH DE Number: 1930213
zbMATH Keywords: second variation
zbMATH Keywords: Moore-Penrose generalized inverse
zbMATH Keywords: conjugate points
zbMATH Keywords: singular extremals
zbMATH Keywords: abnormal arcs
MaRDI profile type: Publication
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full work available at URL: a:1020832020619
OpenAlex ID: W126055163
description: scientific article; zbMATH DE number 1930213