On the maximum principle for time-optimal controls for a class of distributed-boundary control problems
type: Item
instance of: scholarly article
title: On the maximum principle for time-optimal controls for a class of distributed-boundary control problems
zbMATH Open document ID: 0536.49017
DOI: 10.1007/BF00940819
published in: Journal of Optimization Theory and Applications
publication date: 1985-01-01T00:00:00Z
review text: In this note, we present the necessary conditions of optimality for time- optimal controls for a class of distributed-boundary control problems in general Banach spaces using the semigroup theory. Theorem 3.1 is based on a recent general maximum principle due to Barbu, which was proved for strictly convex reflexive Banach spaces. Theorem 3.2 generalizes this result (for time-optimal control problems) by lifting the assumption.
Mathematics Subject Classification ID: 49K27
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 49K30
Mathematics Subject Classification ID: 46B99
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 49K20
zbMATH DE Number: 3851872
zbMATH Keywords: bang-bang principle
zbMATH Keywords: distributed-boundary control
zbMATH Keywords: maximum principle
zbMATH Keywords: time-optimal control
author: N. U. Ahmed
MaRDI profile type: Publication
cites work: Boundary Control Problems with Convex Cost Criterion
cites work: The time-optimal control problem in Banach spaces
cites work: Q3925435
cites work: The “Bang-Bang” Principle for the Time-Optimal Problem in Boundary Control of the Heat Equation
cites work: Finite-time null controllability for a class of linear evolution equations on a Banach space with control constraints
full work available at URL: https://doi.org/10.1007/bf00940819
OpenAlex ID: W1978438125
description: scientific article; zbMATH DE number 3851872