Bifurcation of extremals in optimal control
type: Item
instance of: scholarly article
title: Bifurcation of extremals in optimal control
zbMATH Open document ID: 0599.49001
author: Jacob Kogan
published in: Lecture Notes in Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The book is devoted to the study of branching points of extremal solutions of an optimal control problem. For nonlinear control problems the branching points with respect to neighboring trajectories are considered. The main result is that under suitable hypotheses the set of the branching points depends on the system (on the linearized system in the nonlinear case) and not on the cost functional. The cases of vector cost and a constrained set of admissible controls are also considered.
Mathematics Subject Classification ID: 49-02
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 49K30
Mathematics Subject Classification ID: 93D99
zbMATH DE Number: 3967251
zbMATH Keywords: branching points of extremal solutions
zbMATH Keywords: optimal control
zbMATH Keywords: vector cost
reviewed by: Gianna Stefani
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bfb0077060
OpenAlex ID: W643916413
DOI: 10.1007/BFB0077060
description: scientific article; zbMATH DE number 3967251