Higher-order numerical scheme for linear quadratic problems with bang–bang controls
Author:
Funder
Austrian Science Fund
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Control and Optimization
Link
http://link.springer.com/article/10.1007/s10589-017-9948-z/fulltext.html
Reference30 articles.
1. Alt, W., Baier, R., Gerdts, M., Lempio, F.: Error bounds for Euler approximations of linear-quadratic control problems with bang–bang solutions. Numer. Algebra Control Optim. 2(3), 547–570 (2012)
2. Alt, W., Baier, R., Lempio, F., Gerdts, M.: Approximations of linear control problems with bang–bang solutions. Optimization 62(1), 9–32 (2013)
3. Aronna, M.S., Bonnans, J.F., Dmitruk, A.V., Lotito, P.A.: Quadratic order conditions for bang-singular extremals. Numer. Algebra Control Optim. 2(3), 511–546 (2012)
4. Alt, W., Schneider, C., Seydenschwanz, M.: Regularization and implicit Euler discretization of linear-quadratic optimal control problems with bang–bang solutions. Appl. Math. Comput. 287/288, 104–124 (2016)
5. Bonnans, J.F., Festa, A.: Error estimates for the Euler discretization of an optimal control problem with first-order state constraints. SIAM J. Numer. Anal. 55(2), 445–471 (2017)
Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Error estimates for Runge–Kutta schemes of optimal control problems with index 1 DAEs;Computational Optimization and Applications;2023-04-19
2. Convergence Analysis for Approximations of Optimal Control Problems Subject to Higher Index Differential-Algebraic Equations and Pure State Constraints;SIAM Journal on Control and Optimization;2021-01
3. Convergence Analysis for Approximations of Optimal Control Problems Subject to Higher Index Differential-Algebraic Equations and Mixed Control-State Constraints;SIAM Journal on Control and Optimization;2020-01
4. Error Analysis for the Implicit Euler Discretization of Linear-Quadratic Control Problems with Higher Index DAEs and Bang–Bang Solutions;Progress in Differential-Algebraic Equations II;2020
5. Metric sub-regularity in optimal control of affine problems with free end state;ESAIM: Control, Optimisation and Calculus of Variations;2020
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3