Intersections of extremals in linear-quadratic control problems
type: Item
instance of: scholarly article
title: Intersections of extremals in linear-quadratic control problems
zbMATH Open document ID: 0621.49023
DOI: 10.1007/BF00939551
author: Jacob Kogan
published in: Journal of Optimization Theory and Applications
publication date: 1988-01-01T00:00:00Z
review text: We study the structure of intersections of extremals in linear control systems with quadratic cost. The structure of the intersections is determined. In particular, it is shown that, in contrast with the classical calculus of variations, these points are not necessarily isolated. The results obtained extend a known criterion from the calculus of variations involving the Jacobi necessary condition.
Mathematics Subject Classification ID: 93B99
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 4007098
zbMATH Keywords: intersections of extremals
zbMATH Keywords: linear control systems with quadratic cost
zbMATH Keywords: Jacobi necessary condition
zbMATH Keywords: conjugate points
zbMATH Keywords: Hilbert invariant integral
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00939551
OpenAlex ID: W1984389068
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description: scientific article; zbMATH DE number 4007098