Dual optimal distributed systems with non-negative controls
type: Item
instance of: scholarly article
title: Dual optimal distributed systems with non-negative controls
zbMATH Open document ID: 0593.49014
DOI: 10.1016/0022-247X(84)90039-8
author: B. George
published in: Journal of Mathematical Analysis and Applications
publication date: 1984-01-01T00:00:00Z
review text: The authors consider the problem of minimizing a quadratic cost functional under constraints defined by partial differential equations with positive controls. They show that the optimal system of J.L. Lions minimizes the cost functional and maximizes the cost functional of a dual problem.
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 49K30
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 3953668
zbMATH Keywords: quadratic cost functional
zbMATH Keywords: constraints defined by partial differential equations
zbMATH Keywords: positive controls
zbMATH Keywords: dual problem
reviewed by: Constantin Zălinescu
MaRDI profile type: Publication
cites work: Q5601627
cites work: On Dual Extremum Principles in Applied Mathematics
cites work: On dual approximation principles and optimization in continuum mechanics
cites work: An application of duality to distributed optimal control problems with constraints on the control and the state
cites work: Q4159877
cites work: Lower bounds and duality in the optimal control of distributed systems
cites work: Q3897596
cites work: Q5614166
description: scientific article; zbMATH DE number 3953668