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
  • [11] HIGHER-ORDER DERIVATIVE CONSTRAINTS IN QUALITATIVE SIMULATION
    KUIPERS, BJ
    CHIU, C
    MOLLE, DTD
    THROOP, DR
    ARTIFICIAL INTELLIGENCE, 1991, 51 (1-3) : 343 - 379
  • [12] Higher-order symmetric duality with cone constraints
    Gulati, T. R.
    Gupta, S. K.
    APPLIED MATHEMATICS LETTERS, 2009, 22 (05) : 776 - 781
  • [13] A higher-order logic programming language with constraints
    Leach, J
    Nieva, S
    FUNCTIONAL AND LOGIC PROGRAMMING, PROCEEDINGS, 2001, 2024 : 108 - 122
  • [14] The research of "Higher-Order Derivative Constraints" theory
    Huang, YL
    2003 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-5, PROCEEDINGS, 2003, : 2715 - 2719
  • [15] HIGHER-ORDER ENCODING - PROCESS OR STATE
    JOHNSON, NF
    MEMORY & COGNITION, 1973, 1 (04) : 491 - 494
  • [16] Higher-order transition state approximation
    Nakajima, Takahito
    Hirao, Kimihiko
    Chan, Bun
    JOURNAL OF CHEMICAL PHYSICS, 2022, 156 (11):
  • [17] OPTIMIZATION OF THE BOLZA PROBLEM WITH HIGHER-ORDER DIFFERENTIAL INCLUSIONS AND INITIAL POINT AND STATE CONSTRAINTS
    Mahmudov, Elimhan N.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (05) : 917 - 941
  • [18] OPTIMIZATION OF THE BOLZA PROBLEM WITH HIGHER-ORDER DIFFERENTIAL INCLUSIONS AND INITIAL POINT AND STATE CONSTRAINTS
    Mahmudov, Elimhan N.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2023, 24 (03) : 615 - 639
  • [19] Second class constraints in a higher-order Lagrangian formalism
    Batalin, IA
    Bering, K
    Damgaard, PH
    PHYSICS LETTERS B, 1997, 408 (1-4) : 235 - 240
  • [20] Vakonomic Constraints in Higher-Order Classical Field Theory
    Campos, Cedric M.
    XVIII INTERNATIONAL FALL WORKSHOP ON GEOMETRY AND PHYSICS, 2010, 1260 : 119 - 125
12345