Feedback control of parametrized PDEs via model order reduction and dynamic programming principle
Author:
Funder
U.S. Department of Energy
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s10444-020-09744-8.pdf
Reference39 articles.
1. Alla, A., Falcone, M., Kalise, D.: An efficient policy iteration algorithm for dynamic programming equations. SIAM J. Sci. Comput. 37, A181–A200 (2015). https://doi.org/10.1137/130932284
2. Alla, A., Falcone, M., Kalise, D.: A HJB-POD feedback synthesis approach for the wave equation. Bulletin of the Brazilian Mathematical Society New Series 47, 51–64 (2016). https://doi.org/10.1007/s00574-016-0121-6
3. Alla, A., Falcone, M., Saluzzi, L.: An efficient DP algorithm on a tree-structure for finite horizon optimal control problems. SIAM J. Sci. Comput. 41, A2384–A2406 (2019). https://doi.org/10.1137/18M1203900
4. Alla, A., Falcone, M., Volkwein, S.: Error analysis for POD approximations of infinite horizon problems via the dynamic programming approach. SIAM J. Control. Optim. 55, 3091–3115 (2017). https://doi.org/10.1137/15M1039596
5. Alla, A., Schmidt, A., Haasdonk, B.: Model order reduction approaches for infinite horizon optimal control problems via the HJB equation. In: Benner, P., Ohlberger, M., Patera, A., Rozza, G., Urban, K. (eds.) Model Reduction of Parametrized Systems, pp 333–347. Springer International Publishing, Cham (2017), https://doi.org/10.1007/978-3-319-58786-8_21
Cited by 5 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. Hermite kernel surrogates for the value function of high-dimensional nonlinear optimal control problems;Advances in Computational Mathematics;2024-04-29
2. Optimal Bounds for Numerical Approximations of Infinite Horizon Problems Based on Dynamic Programming Approach;SIAM Journal on Control and Optimization;2023-03-09
3. Multilevel Techniques for the Solution of HJB Minimum-Time Control Problems;Journal of Systems Science and Complexity;2021-12
4. Model Order Reduction via Moment-Matching: A State of the Art Review;Archives of Computational Methods in Engineering;2021-06-25
5. A feedback design for numerical solution to optimal control problems based on Hamilton-Jacobi-Bellman equation;Electronic Research Archive;2021
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