Sensitivity Analysis of Multi-objective Optimal Control Problems

被引:4
|
作者
Toan, N. T. [1 ]
Thuy, L. Q. [1 ]
机构
[1] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, 1 Dai Co Viet, Hanoi, Vietnam
来源
APPLIED MATHEMATICS AND OPTIMIZATION | 2021年 / 84卷 / 03期
关键词
Multi-objective parametric optimal control problem; Efficient point multifunction; Mordukhovich normal cone; Mordukhovich subgradients; Mordukhovich subdifferential;
D O I
10.1007/s00245-021-09755-x
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Sensitivity analysis of multi-objective parametric optimal control problems with nonconvex cost functions and control constraints is given in this paper. By establishing an abstract result on the Mordukhovich subdifferential of the efficient point multifunction of a multi-objective parametric mathematical programming problem, we derive a formula for computing the Mordukhovich subdifferential of the efficient point multifunction to a multi-objective parametric optimal control problem.
引用
收藏
页码:3517 / 3545
页数:29
相关论文
共 50 条
  • [31] Optimization of WWTP control by means of multi-objective genetic algorithms and sensitivity analysis
    Beraud, Benoit
    Steyer, Jean-Philippe
    Lemoine, Cyrille
    Latrille, Eric
    [J]. 18TH EUROPEAN SYMPOSIUM ON COMPUTER AIDED PROCESS ENGINEERING, 2008, 25 : 539 - 544
  • [32] Understanding Clusters of Optimal Solutions in Multi-Objective Decision Problems
    Veerappa, Varsha
    Letier, Emmanuel
    [J]. 2011 19TH IEEE INTERNATIONAL REQUIREMENTS ENGINEERING CONFERENCE (RE), 2011, : 89 - 98
  • [33] Swarm algorithms for single- and multi-objective optimization problems incorporating sensitivity analysis
    Izui, K.
    Nishiwaki, S.
    Yoshimura, M.
    [J]. ENGINEERING OPTIMIZATION, 2007, 39 (08) : 981 - 998
  • [34] Optimal solutions to multi-objective robust fault detection problems
    Liu, Nike
    Zhou, Kemin
    [J]. PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 715 - 722
  • [35] Analysis and Control of Optimal Power Distribution for Multi-Objective Wireless Charging Systems
    Zhang, Zhen
    Tong, Ruilin
    Liang, Zhenyan
    Liu, Chunhua
    Wang, Jiang
    [J]. ENERGIES, 2018, 11 (07):
  • [36] Extremum Seeking Control for Multi-Objective Optimization Problems
    Kumar, Saurav
    Gans, Nicholas
    [J]. 2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 1112 - 1118
  • [37] A toolkit for efficiently generating Pareto sets in (bio)chemical multi-objective optimal control problems
    Logist, Filip
    Houska, Boris
    Diehl, Moritz
    Van Impea, Jan F.
    [J]. 20TH EUROPEAN SYMPOSIUM ON COMPUTER AIDED PROCESS ENGINEERING, 2010, 28 : 481 - 486
  • [38] Multi-objective infinite horizon optimal control problems: characterization of the Pareto fronts and Pareto solutions
    Chorobura, Ana Paula
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (08):
  • [40] Solving Multi-Objective Optimal Control Problems of Chemical Processes Using Hybrid Evolutionary Algorithm
    Askarirobati, Gholam Hosein
    Hashemi-Borzabadi, Akbar
    Heydari, Aghileh
    [J]. IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY, 2019, 10 (02): : 103 - 126