On variational perturbations of control problems: Minimum-time problem and minimum-effort problem
type: Item
instance of: scholarly article
title: On variational perturbations of control problems: Minimum-time problem and minimum-effort problem
zbMATH Open document ID: 0536.49022
DOI: 10.1007/BF00935460
published in: Journal of Optimization Theory and Applications
publication date: 1984-01-01T00:00:00Z
review text: In order to obtain numerical solutions for an abstract optimal control problem, one approximates the abstract operations in a computationally feasible manner. After having found an approximate optimal solution, the question is whether a sequence of these approximate optimal solutions converges to an optimal solution of the original problem. In this work, we are concerned with this type of convergence on the time-optimal control problem for a class of linear systems with distributed parameters and on the minimum-effort problem.
Mathematics Subject Classification ID: 49M99
Mathematics Subject Classification ID: 49K27
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C25
zbMATH DE Number: 3851877
zbMATH Keywords: variational perturbations
zbMATH Keywords: minimal-time problem
zbMATH Keywords: minimal-time function
zbMATH Keywords: minimum-effort problem
author: Ovidiu Cârjă
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00935460
OpenAlex ID: W1964804768
description: scientific article; zbMATH DE number 3851877