Switching control of piecewise-deterministic processes
type: Item
instance of: scholarly article
title: Switching control of piecewise-deterministic processes
zbMATH Open document ID: 0631.93079
DOI: 10.1007/BF00939868
published in: Journal of Optimization Theory and Applications
publication date: 1988-01-01T00:00:00Z
review text: A finite collection of piecewise-deterministic processes is controlled in order to minimize the expected value of a performance functional with continuous operating cost and discrete switching control costs. The solution of the associated dynamic programming equation is obtained by an iterative approximation using optimal stopping time problems.
Mathematics Subject Classification ID: 93E20
Mathematics Subject Classification ID: 49L20
Mathematics Subject Classification ID: 60G40
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 90C39
zbMATH DE Number: 4027339
zbMATH Keywords: integro-differential equations
zbMATH Keywords: piecewise-deterministic processes
zbMATH Keywords: discrete switching control costs
zbMATH Keywords: dynamic programming equation
zbMATH Keywords: iterative approximation
zbMATH Keywords: optimal stopping time problems
author: Suzanne Lenhart
author: Yu-Chung Liao
MaRDI profile type: Publication
Wikidata QID: Q60231298
cites work: Q3680030
cites work: Optimal control of piecewise deterministic markov process
cites work: Optimal Control with State-Space Constraint. II
cites work: Optimal stopping of a piecewise-deterministic markov process
cites work: Integro-differential equations associated with optimal stopping time of a piecewise-deterministic process
cites work: Optimal Switching for Ordinary Differential Equations
cites work: Q3890532
cites work: A System of Nonlinear Partial Differential Equations Arising in the Optimal Control of Stochastic Systems with Switching Costs
cites work: Q3780207
cites work: Optimal control of a one-dimensional storage process
cites work: Gradient bounds for solutions of degenerate variational inequalities
description: scientific article; zbMATH DE number 4027339