Higher-order numerical scheme for linear quadratic problems with bang-bang controls
type: Item
instance of: scholarly article
title: Higher-order numerical scheme for linear quadratic problems with bang-bang controls
zbMATH Open document ID: 1388.49032
published in: Computational Optimization and Applications
publication date: 2018-04-20T00:00:00Z
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 49J30
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 49J15
zbMATH DE Number: 6862298
zbMATH Keywords: optimal control
zbMATH Keywords: numerical methods
zbMATH Keywords: bang-bang control
zbMATH Keywords: linear-quadratic optimal control problems
zbMATH Keywords: time-discretization methods
Wikidata QID: Q58296679
author: Teresa Scarinci
author: Vladimir M. Veliov
MaRDI profile type: Publication
full work available at URL: s10589-017-9948-z
OpenAlex ID: W2763750229
cites work: Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions
cites work: Approximations of linear control problems with bang-bang solutions
cites work: Quadratic order conditions for bang-singular extremals
cites work: Regularization and implicit Euler discretization of linear-quadratic optimal control problems with bang-bang solutions
cites work: Error Estimates for the Euler Discretization of an Optimal Control Problem with First-Order State Constraints
cites work: An a Priori Estimate for Discrete Approximations in Nonlinear Optimal Control
cites work: Lipschitzian Stability in Nonlinear Control and Optimization
cites work: Error bounds for euler approximation of a state and control constrained optimal control problem1
cites work: Second-Order Runge--Kutta Approximations in Control Constrained Optimal Control
cites work: Implicit Functions and Solution Mappings
cites work: On the variational principle
cites work: On Stability of Bang-Bang Type Controls
cites work: Discretization of semilinear bang-singular-bang control problems
cites work: Q5388521
cites work: Higher-order approximations of linear control systems via Runge-Kutta schemes
cites work: Higher order numerical schemes for affinely controlled nonlinear systems
cites work: Runge-Kutta methods in optimal control and the transformed adjoint system
cites work: The Euler Method for Linear Control Systems Revisited
cites work: High-Order Approximations to Nonholonomic Affine Control Systems
cites work: Q4214669
cites work: Q4904856
cites work: High Order Discrete Approximations to Mayer's Problems for Linear Systems
cites work: Metric regularity properties in bang-bang type linear-quadratic optimal control problems
cites work: Metric regularity and stability of optimal control problems for linear systems
cites work: Convergence results for the discrete regularization of linear-quadratic control problems with bang-bang solutions
cites work: Second order discrete approximations to strongly convex differential inclusions
cites work: On the Time-Discretization of Control Systems
cites work: Q5323191
DBLP publication ID: journals/coap/ScarinciV18
DOI: 10.1007/S10589-017-9948-Z
description: scientific article; zbMATH DE number 6862298