Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Infinite Dimensional Systems Under State Constraints and Mixed Pointwise Constraints-Reference-Cited by-同舟云学术

Second-Order Lagrange Multiplier Rules in Multiobjective Optimal Control of Infinite Dimensional Systems Under State Constraints and Mixed Pointwise Constraints

Published:2021-07-10 Issue:S2 Volume:84 Page:1521-1553
ISSN:0095-4616
Container-title:Applied Mathematics & Optimization
language:en
Short-container-title:Appl Math Optim

Author:

Nguyen Dinh Tuan^ORCID

Funder

University of Economics Ho Chi Minh City, Vietnam

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization

Link

https://link.springer.com/content/pdf/10.1007/s00245-021-09803-6.pdf

Reference57 articles.

1. Alibert, J.J., Raymond, J.P.: Boundary control of semilinear elliptic equations with discontinuous leading coefficients and unbounded controls. Numer. Funct. Anal. Optim. 18, 235–250 (1997)

2. Arada, N., Casas, E., Troltzsch, F.: Error estimates for the numerical approximation of a semilinear elliptic control problem. Comput. Optim. Appl. 23, 201–229 (2002)

3. Aronna, M.S., Bonnans, J.F., Kröner, A.: Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations. Math. Program. 168, 717–757 (2018)

4. Aronna, M.S., Bonnans, J.F., Kröner, A.: Optimal control of PDEs in a complex space setting: application to the Schrödinger equation. SIAM J. Control Optim. 57, 1390–1412 (2019)

5. Aubin, J.P., Frankowska, H.: Set-Valued Analysis. Birkhäuser, Boston (1990)

Cited by 2 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. Risk-neutral multiobjective optimal control of random Volterra integral equations;Journal of Mathematical Analysis and Applications;2023-07

2. Regularity of Multipliers for Multiobjective Optimal Control Problems Governed by Evolution Equations;Journal of Optimization Theory and Applications;2022-12-19