Control under indeterminacy and double constraints
type: Item
instance of: scholarly article
title: Control under indeterminacy and double constraints
zbMATH Open document ID: 1125.93396
published in: Differential Equations
publication date: 2005-05-23T00:00:00Z
review text: A class of uncertain linear control systems is considered. It is assumed that the control is constrained both geometrically and integrally, while the noise is subjected only to a geometrical constraint. The considered problem is to find the solvability set and a positional control strategy such that all admissible trajectories, starting from a point of the solvability set, reach a suitably defined objective set at the terminal time. This problem is solved using some constructions of the Krasovskii extremal aiming as well as the Pontryagin alternating integral. The same problem is also studied for an appropriate class of positional controls without the integral constraint.
reviewed by: Mikhail Krastanov
Mathematics Subject Classification ID: 93C41
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 93C65
zbMATH DE Number: 2170186
zbMATH Keywords: uncertain linear systems
zbMATH Keywords: positional strategies
zbMATH Keywords: solvability sets
author: A. N. Dar'in
author: Alexander B. Kurzhanski
MaRDI profile type: Publication
full work available at URL: b:dieq.0000019347.24930.a3
OpenAlex ID: W1993853256
DOI: 10.1023/B:DIEQ.0000019347.24930.A3
description: scientific article; zbMATH DE number 2170186