The perturbed time-optimal problem of controlling the final position of a material point by means of a limited force
type: Item
instance of: scholarly article
title: The perturbed time-optimal problem of controlling the final position of a material point by means of a limited force
zbMATH Open document ID: 0829.49023
DOI: 10.1016/0021-8928(94)90048-5
author: L. D. Akulenko
published in: Journal of Applied Mathematics and Mechanics
publication date: 1995-06-20T00:00:00Z
review text: An algorithm is proposed for the solution of the perturbed optimal control problem \(t_f\to \min\) subject to the constraints \(x''= u+ \varepsilon f(x, x')\); \(x(0)= x_0\), \(x' (0)= x_0'\) and \(x(t_f)= 0\), \(x' (t_f)\in D\subset \mathbb{R}^n\), \(|u(t) |\leq u_0\), where \(x(t)\in \mathbb{R}^n\) and \(\varepsilon \geq 0\) is a small parameter. The dependence of the optimal time and optimal solution on the small parameter is also investigated.
Mathematics Subject Classification ID: 49K30
Mathematics Subject Classification ID: 49K40
zbMATH DE Number: 764188
zbMATH Keywords: perturbed optimal control problem
zbMATH Keywords: optimal time
zbMATH Keywords: optimal solution
reviewed by: Mihail M. Konstantinov
MaRDI profile type: Publication
full work available at URL: 0021-8928(94)90048-5
OpenAlex ID: W2040417956
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description: scientific article; zbMATH DE number 764188