ON HIGHER-ORDER STATE CONSTRAINTS

被引：2
|
作者：
Karamzin, Dmitry [1 ]
Pereira, Fernando Lobo [1 ]
机构：
[1] Univ Porto, SYSTEC ARISE, Fac Engn, Rua Dr Roberto Frias S-N 4200-465, Porto, Portugal
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2023年 / 61卷 / 04期
关键词：
optimal control; higher-order state constraints; maximum principle; MAXIMUM PRINCIPLE; STABILITY;
D O I：
10.1137/22M1487497
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A higher-order state-constrained optimal control problem is considered. A nondegenerate maximum principle is obtained based on the corresponding inward and outward pointing conditions of the higher order. Simple examples demonstrate how the new optimality conditions exclude degenerate sets of Lagrange multipliers, while the conventional approach fails to do so. The conservation law is derived as a consequence of extremality. The connection to the classical form of optimality conditions is investigated.
引用
收藏
页码：1913 / 1933
页数：21
相关论文
共 50 条
  • [1] On regularity conditions in higher-order state-constrained control
    Karamzin, D. Yu.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 452
  • [2] HIGHER-ORDER FRACTIONAL LAPLACIANS: AN OVERVIEW
    Abatangelo, Nicola
    BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 2021, 12 (01) : 53 - 80
  • [3] Nondegenerate necessary conditions for linear optimal control problems with higher index state constraints
    Fontes, Fernando A. C. C.
    2005 44th IEEE Conference on Decision and Control & European Control Conference, Vols 1-8, 2005, : 2149 - 2151
  • [4] What Are Higher-Order Networks?
    Bick, Christian
    Gross, Elizabeth
    Harrington, Heather A.
    Schaub, Michael T.
    SIAM REVIEW, 2023, 65 (03) : 686 - 731
  • [5] Higher-Order Quadruplex Structures
    Petraccone, Luigi
    QUADRUPLEX NUCLEIC ACIDS, 2013, 330 : 23 - 46
  • [6] Impact of higher-order uncertainty
    Weinstein, Jonathan
    Yildiz, Muhamet
    GAMES AND ECONOMIC BEHAVIOR, 2007, 60 (01) : 200 - 212
  • [7] A Smooth Trajectory Generation Algorithm for Addressing Higher-Order Dynamic Constraints in Nanopositioning Systems
    Bharathi, Akilan
    Dong, Jingyan
    43RD NORTH AMERICAN MANUFACTURING RESEARCH CONFERENCE, NAMRC 43, 2015, 1 : 216 - 225
  • [8] On higher-order Codazzi tensors on complete Riemannian manifolds
    Shandra, Igor G.
    Stepanov, Sergey E.
    Mikes, Josef
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2019, 56 (03) : 429 - 442
  • [9] Synchronization in adaptive higher-order networks
    Anwar, Md Sayeed
    Jenifer, S. Nirmala
    Muruganandam, Paulsamy
    Ghosh, Dibakar
    Carletti, Timoteo
    PHYSICAL REVIEW E, 2024, 110 (06)
  • [10] Radiationless Higher-Order Embedded Solitons
    Fujioka, Jorge
    Espinosa, Aurea
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2013, 82 (03)
12345