On a certain class of minimum effort problems in Banach spaces
type: Item
instance of: scholarly article
title: On a certain class of minimum effort problems in Banach spaces
zbMATH Open document ID: 0876.49004
DOI: 10.1007/BF02844674
author: A. K. Chaudhuri
author: R. N. Mukherjee
publication date: 1997-10-27T00:00:00Z
review text: The authors give a characterization of the solution of the problem: Minimize \(\{ |u|^p +|\eta -Tu|^p\}^{1/p}\), \(1\leq p < \infty\), such that \(|\xi -Su|\leq \epsilon\), where \(T\) and \(S\) are bounded linear operators on Banach spaces. The result is applied to a linear control system.
Mathematics Subject Classification ID: 49J27
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 932465
zbMATH Keywords: minimum effort problem
zbMATH Keywords: approximate controllability
reviewed by: Ovidiu Cârjă
MaRDI profile type: Publication
cites work: A minimum cost control problem in Banach space
cites work: Linear Bounded Phase Coordinate Control Problems under Certain Regularity and Normality Conditions
cites work: Functional analysis and linear control theory
cites work: On the global controllability of a certain class of minimum time control problems
full work available at URL: https://doi.org/10.1007/bf02844674
OpenAlex ID: W2025619992
published in: Rendiconti del Circolo Matematico di Palermo
description: scientific article; zbMATH DE number 932465