Feedback-invariant optimal control theory and differential geometry. II. Jacobi curves for singular extremals
type: Item
instance of: scholarly article
title: Feedback-invariant optimal control theory and differential geometry. II. Jacobi curves for singular extremals
zbMATH Open document ID: 0972.49014
DOI: 10.1023/A:1021871218615
published in: Journal of Dynamical and Control Systems
publication date: 2000-04-13T00:00:00Z
review text: This paper contains some important results on Jacobi curves for singular extremals of smooth control systems. The last section is dedicated to a feedback classification and normal forms of generic single-input, affine in control systems on a 3-dimensional manifold. [For Part I see \textit{A. A. Agrachev} and \textit{R. V. Gamkrelidze}, J. Dyn. Control Syst. 4, No. 4, 583-604 (1998; Zbl 0952.49019)].
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 53C22
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 53B05
Mathematics Subject Classification ID: 53B15
zbMATH DE Number: 1431868
zbMATH Keywords: Hamiltonian
zbMATH Keywords: extremal
zbMATH Keywords: geodesic
zbMATH Keywords: connection
zbMATH Keywords: curvature
zbMATH Keywords: Jacobi curves
zbMATH Keywords: singular extremals
author: A. A. Agrachev
reviewed by: Constantin Udrişte
MaRDI profile type: Publication
full work available at URL: a:1021871218615
OpenAlex ID: W298729260
description: scientific article; zbMATH DE number 1431868