SINGULAR CONTROLS IN THE CLASSICAL SENSE FOR THE OPTIMAL CONTROL PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS

被引：0
作者：
Sharifov, Ya. A. [1 ]
机构：
[1] Baku State Univ, Baku, Azerbaijan
来源：
CYBERNETICS AND SYSTEMS ANALYSIS | 2013年 / 49卷 / 06期
关键词：
singular controls; nonlocal boundary conditions; optimal control; necessary conditions;
D O I：
10.1007/s10559-013-9580-6
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider an optimal control problem in which the states of the system are determined by the control systems of ordinary differential equations with two-point boundary conditions. Admissible controls are selected from the class of bounded measurable functions with values in an open set. We calculate the increment of the functional formula of the second order. We use variations of the control to derive the necessary optimality conditions for singular controls in the classical sense.
引用
收藏
页码：898 / 906
页数：9
相关论文
共 50 条
  • [31] Singular optimal control for rendezvous problem for cooperative vehicle control
    Ekoru, John E. D.
    Ngwako, Mohlalakoma T.
    Madahana, Milka M. C. I.
    Nyandoro, Otis T. C.
    IFAC PAPERSONLINE, 2023, 56 (02): : 3320 - 3325
  • [32] On the theory of singular optimal controls in dynamic systems with control delay
    Mardanov, M. J.
    Melikov, T. K.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2017, 57 (05) : 749 - 769
  • [33] On efficient numerical methods for an initial-boundary value problem with nonlocal boundary conditions
    Martin-Vaquero, J.
    Wade, B. A.
    APPLIED MATHEMATICAL MODELLING, 2012, 36 (08) : 3411 - 3418
  • [34] SOLVABILITY AND OPTIMAL CONTROLS OF FRACTIONAL IMPULSIVE STOCHASTIC EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS
    Ding, Yonghong
    Niu, Jing
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (05): : 2622 - 2642
  • [35] Optimal control problem for phase-field equations with nonlinear dynamic boundary conditions
    Aiki, T
    Kadoya, A
    Sato, N
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (05) : 3183 - 3194
  • [36] OPTIMAL CONTROL PROBLEM FOR THE IMPULSIVE DIFFERENTIAL EQUATIONS WITH NON-LOCAL BOUNDARY CONDITIONS
    Sharifov, Ya. A.
    VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2013, (04): : 34 - 45
  • [37] On the Spectrum Structure for one Difference Eigenvalue Problem with Nonlocal Boundary Conditions
    Sapagovas, Mifodijus
    Pupalaige, Kristina
    Ciupaila, Regimantas
    Meskauskas, Tadas
    MATHEMATICAL MODELLING AND ANALYSIS, 2023, 28 (03) : 522 - 541
  • [38] An inverse coefficient problem for the heat equation in the case of nonlocal boundary conditions
    Kerimov, Nazim B.
    Ismailov, Mansur I.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 396 (02) : 546 - 554
  • [39] On the solutions of a boundary value problem of linear thermoelasticity system with nonlocal conditions
    Bougoffa, Lazhar
    Al-Jeaid, Hind K.
    Khanfer, Ammar
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (08) : 4227 - 4233
  • [40] Positive solutions for the singular nonlocal boundary value problems involving nonlinear integral conditions
    Yan, Baoqiang
    BOUNDARY VALUE PROBLEMS, 2014,
12345