Existence of an optimal control with sparse jumps in the state variable
type: Item
instance of: scholarly article
title: Existence of an optimal control with sparse jumps in the state variable
zbMATH Open document ID: 0535.49002
DOI: 10.1007/BF00939981
author: Atle Seierstad
published in: Journal of Optimization Theory and Applications
publication date: 1985-01-01T00:00:00Z
review text: The existence of an optimal control is proved in a problem where the criterion functional and the equation of motion contain a control that is a Lebesgue-Stieltjes measure. Due to nonlinearities in the problem, it is necessary to postulate a condition implying that large atoms of the control measures are sparse and that their derivatives, whenever they exist, have a uniform bound.
Mathematics Subject Classification ID: 49J15
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34H05
Mathematics Subject Classification ID: 28A12
zbMATH DE Number: 3849934
zbMATH Keywords: control differential systems involving impulses
zbMATH Keywords: jumps in the state variables
MaRDI profile type: Publication
cites work: Optimal Control Theory for Nonlinear Vector Differential Equations Containing Measures
cites work: Q5542360
cites work: Differential systems involving impulses
cites work: Q4062983
cites work: Continuous-time optimal control theory for cost functionals including discrete state penalty terms
cites work: Optimal control systems with state variable jump discontinuities
cites work: An Extended Pontryagin Principle for Control Systems whose Control Laws Contain Measures
cites work: Disconnected optimal trajectories
cites work: Control Systems with Jumps in the State Variables
cites work: Variational Problems with Unbounded Controls
cites work: Q5667133
description: scientific article; zbMATH DE number 3849934