Second-order optimality conditions in a discrete optimal control problem

被引:7
|
作者
Marinkovic, B. [1 ]
机构
[1] Fac Min & Geol, Dept Appl Math, Belgrade 11000, Serbia
关键词
discrete optimal control; mathematical programming; normality;
D O I
10.1080/02331930601125044
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
Discrete optimal control problems with variable endpoints and with inequality type constraints on control are considered. We derive first- and second-order necessary optimality conditions that are meaningful without a priori normality assumptions.
引用
收藏
页码:539 / 548
页数:10
相关论文
共 50 条
  • [1] Second-Order Necessary Optimality Conditions for a Discrete Optimal Control Problem
    Toan, N. T.
    Ansari, Q. H.
    Yao, J-C.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2015, 165 (03) : 812 - 836
  • [2] Second-order necessary optimality conditions for a discrete optimal control problem
    Mingaleeva, Z. T.
    Shvartsman, I. A.
    [J]. DIFFERENTIAL EQUATIONS, 2014, 50 (12) : 1643 - 1649
  • [3] Second-Order Necessary Optimality Conditions for a Discrete Optimal Control Problem
    N. T. Toan
    Q. H. Ansari
    J.-C. Yao
    [J]. Journal of Optimization Theory and Applications, 2015, 165 : 812 - 836
  • [4] Second-order necessary optimality conditions for a discrete optimal control problem
    Z. T. Mingaleeva
    I. A. Shvartsman
    [J]. Differential Equations, 2014, 50 : 1643 - 1649
  • [5] Second-order necessary optimality conditions for a discrete optimal control problem with mixed constraints
    N. T. Toan
    L. Q. Thuy
    [J]. Journal of Global Optimization, 2016, 64 : 533 - 562
  • [6] Second-order necessary optimality conditions for a discrete optimal control problem with mixed constraints
    Toan, N. T.
    Thuy, L. Q.
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2016, 64 (03) : 533 - 562
  • [7] Second-order Necessary Optimality Conditions for an Optimal Control Problem
    Toan Nguyen
    Thuy Le
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2020, 24 (01): : 225 - 264
  • [8] On the No-Gap Second-Order Optimality Conditions for a Discrete Optimal Control Problem with Mixed Constraints
    Le Quang Thuy
    Bui Thi Thanh
    Nguyen Thi Toan
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 173 (02) : 421 - 442
  • [9] Second-order necessary optimality conditions for a discrete optimal control problem with nonlinear state equations
    Toan, N. T.
    Thuy, L. Q.
    Ansari, Q. H.
    Yao, J-C
    [J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 2020, 41 (06): : 2250 - 2281
  • [10] On the No-Gap Second-Order Optimality Conditions for a Discrete Optimal Control Problem with Mixed Constraints
    Le Quang Thuy
    Bui Thi Thanh
    Nguyen Thi Toan
    [J]. Journal of Optimization Theory and Applications, 2017, 173 : 421 - 442