A Parallel-In-Time Block-Circulant Preconditioner for Optimal Control of Wave Equations

Shu-Lin Wu; Jun Liu

doi:10.1137/19m1289613

A Parallel-In-Time Block-Circulant Preconditioner for Optimal Control of Wave Equations

SIAM Journal on Scientific Computing ◽

10.1137/19m1289613 ◽

2020 ◽

Vol 42 (3) ◽

pp. A1510-A1540

Author(s):

Shu-Lin Wu ◽

Jun Liu

Keyword(s):

Optimal Control ◽

Wave Equations ◽

Time Block ◽

Circulant Preconditioner

Download Full-text

OPTIMAL CONTROL PROBLEMS FOR SPACE-FRACTIONAL WAVE EQUATIONS

Journal of Applied Analysis & Computation ◽

10.11948/20190322 ◽

2020 ◽

Vol 0 (0) ◽

pp. 0-0

Author(s):

Xia Zhang ◽

◽

Khattak Shahzad ◽

Yongqiang Fu

Keyword(s):

Optimal Control ◽

Wave Equations ◽

Optimal Control Problems ◽

Control Problems ◽

Fractional Wave Equations

Download Full-text

Time Delay in Optimal Control Loops for Wave Equations

ESAIM Control Optimisation and Calculus of Variations ◽

10.1051/cocv/2015038 ◽

2016 ◽

Vol 23 (1) ◽

pp. 13-37

Author(s):

Martin Gugat ◽

Günter Leugering

Keyword(s):

Optimal Control ◽

Time Delay ◽

Wave Equations ◽

Control Loops

Download Full-text

State-constrained optimal control problems governed by coupled nonlinear wave equations with memory

International Journal of Control ◽

10.1080/00207179.2014.999257 ◽

2015 ◽

Vol 88 (6) ◽

pp. 1174-1188 ◽

Cited By ~ 2

Author(s):

Lei Zhang ◽

Bin Liu

Keyword(s):

Optimal Control ◽

Nonlinear Wave ◽

Wave Equations ◽

Optimal Control Problems ◽

Nonlinear Wave Equations ◽

Control Problems ◽

Constrained Optimal Control ◽

With Memory

Download Full-text

An optimal control approach to the approximation of fundamental solution groups for lossless wave equations

2015 54th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc.2015.7402823 ◽

2015 ◽

Cited By ~ 2

Author(s):

Peter M. Dower ◽

William M. McEneaney

Keyword(s):

Optimal Control ◽

Fundamental Solution ◽

Wave Equations ◽

Control Approach ◽

Optimal Control Approach

Download Full-text

Optimal control problems for wave equations

Journal of Mathematical Sciences ◽

10.1007/s10958-011-0456-x ◽

2011 ◽

Vol 177 (2) ◽

pp. 257-269 ◽

Cited By ~ 2

Author(s):

L. A. Manita

Keyword(s):

Optimal Control ◽

Wave Equations ◽

Optimal Control Problems ◽

Control Problems

Download Full-text

An Effective Computational Scheme for the Optimal Control of Wave Equations**This project was supported in part by NSFC 11301262 and NSF 1021203, 1419028 of the United States.

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2016.10.279 ◽

2016 ◽

Vol 49 (18) ◽

pp. 891-896

Author(s):

Jun Liu ◽

Buyang Li ◽

Mingqing Xiao

Keyword(s):

United States ◽

Optimal Control ◽

Wave Equations ◽

The United States ◽

Computational Scheme

Download Full-text

Verifying Fundamental Solution Groups for Lossless Wave Equations via Stationary Action and Optimal Control

Applied Mathematics & Optimization ◽

10.1007/s00245-020-09700-4 ◽

2020 ◽

Author(s):

Peter M. Dower ◽

William M. McEneaney

Keyword(s):

Optimal Control ◽

Fundamental Solution ◽

Wave Equations ◽

Stationary Action

Download Full-text

Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations

Mathematical Programming ◽

10.1007/s10107-016-1093-4 ◽

2016 ◽

Vol 168 (1-2) ◽

pp. 717-757 ◽

Cited By ~ 2

Author(s):

M. Soledad Aronna ◽

J. Frédéric Bonnans ◽

Axel Kröner

Keyword(s):

Optimal Control ◽

Wave Equations ◽

Bilinear Systems ◽

Infinite Dimensional

Download Full-text

Sensitivity Analysis of Optimal Control Problems for Wave Equations

SIAM Journal on Control and Optimization ◽

10.1137/0329060 ◽

1991 ◽

Vol 29 (5) ◽

pp. 1128-1149 ◽

Cited By ~ 10

Author(s):

Irena Lasiecka ◽

Jan Sokołowski

Keyword(s):

Optimal Control ◽

Sensitivity Analysis ◽

Wave Equations ◽

Optimal Control Problems ◽

Control Problems

Download Full-text

A Fast and Stable Preconditioned Iterative Method for Optimal Control Problem of Wave Equations

SIAM Journal on Scientific Computing ◽

10.1137/15m1020526 ◽

2015 ◽

Vol 37 (6) ◽

pp. A2508-A2534 ◽

Cited By ~ 8

Author(s):

Buyang Li ◽

Jun Liu ◽

Mingqing Xiao

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Iterative Method ◽

Control Problem ◽

Wave Equations ◽

Preconditioned Iterative

Download Full-text