Impulsive optimal control with finite or infinite time horizon
type: Item
instance of: scholarly article
title: Impulsive optimal control with finite or infinite time horizon
zbMATH Open document ID: 0549.49015
DOI: 10.1007/BF00939148
author: N. E. Zubov
published in: Journal of Optimization Theory and Applications
publication date: 1985-01-01T00:00:00Z
review text: We consider a dynamical system subjected to feedback optimal control in such a way that the evolution of the state exhibits both sudden jumps and continuous changes. Previously obtained necessary conditions [see the author's paper in Differ. Games Appl., Lect. Notes Control Inf. Sci. 3, 34-69 (1977; Zbl 0392.90098)] for such impulsive optimal feedback controls are generalized to admit the case of infinite time horizon; this generalization permits application to a wider class of problems. The results are illustrated by application to a version of the innkeeper's problem.
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 93B99
Mathematics Subject Classification ID: 90B25
zbMATH DE Number: 3876048
zbMATH Keywords: state-variable discontinuities
zbMATH Keywords: minimum principle
zbMATH Keywords: impulsive optimal feedback controls
zbMATH Keywords: infinite time horizon
MaRDI profile type: Publication
cites work: Benjamin—Ono-related equations and their solutions
cites work: Disconnected optimal trajectories
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
full work available at URL: https://doi.org/10.1007/bf00939148
OpenAlex ID: W116690101
description: scientific article; zbMATH DE number 3876048