Relaxation of Minimax Optimal Control Problems with Infinite Horizon

被引：0
|
作者：
S. C. Di Marco
R. L. V. González
机构：
[1] Universidad Nacional de Rosario,Departamento de Matemática, Facultad de Ciencias Exactas, Ingeniería y Agrimensura
[2] Universidad Nacional de Rosario,Departamento de Matemática, Facultad de Ciencias Exactas, Ingeniería y Agrimensura
来源：
Journal of Optimization Theory and Applications | 1999年 / 101卷
关键词：
Minimax optimal control problems; infinite-horizon problems; relaxation; weak compactness;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A minimax optimal control problem with infinite horizon is studied. We analyze a relaxation of the controls, which allows us to consider a generalization of the original problem that not only has existence of an optimal control but also enables us to approximate the infinite-horizon problem with a sequence of finite-horizon problems. We give a set of conditions that are sufficient to solve directly, without relaxation, the infinite-horizon problem as the limit of finite-horizon problems.
引用
收藏
页码：285 / 306
页数：21
相关论文
共 50 条
  • [1] Relaxation of minimax optimal control problems with Infinite horizon
    Di Marco, SC
    González, RLV
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 101 (02) : 285 - 306
  • [2] Relaxed minimax optimal control problems. Infinite horizon case
    Di Marco, SC
    Gonzalez, RLV
    SYSTEMS MODELLING AND OPTIMIZATION, 1999, 396 : 153 - 161
  • [3] PROBLEMS OF OPTIMAL INFINITE-HORIZON CONTROL
    PIUNOVSKIY, AB
    SOVIET JOURNAL OF COMPUTER AND SYSTEMS SCIENCES, 1990, 28 (06): : 65 - 71
  • [4] On infinite-horizon optimal control problems
    Effati, S
    Kamyad, V
    Kamyabi-Gol, RA
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2000, 19 (01): : 269 - 278
  • [5] Supersolutions and subsolutions techniques in a minimax optimal control problem with infinite horizon
    Di Marco, SC
    Gonzalez, RLV
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1998, 29 (10): : 1083 - 1098
  • [6] Fields of extremals and infinite horizon optimal control problems
    Seierstad, A
    OPTIMAL CONTROL APPLICATIONS & METHODS, 1998, 19 (06): : 377 - 392
  • [7] Infinite-horizon optimal control problems in economics
    Aseev, S. M.
    Besov, K. O.
    Kryazhimskiy, A. V.
    RUSSIAN MATHEMATICAL SURVEYS, 2012, 67 (02) : 195 - 253
  • [8] An Optimal Solution to Infinite Horizon Nonlinear Control Problems
    Mohamed, Mohamed Naveed Gul
    Goyal, Raman
    Chakravorty, Suman
    2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC, 2023, : 1643 - 1648
  • [9] Optimal time aggregation of infinite horizon control problems
    Alemdar, NM
    Sirakaya, S
    Hüsseinov, F
    JOURNAL OF ECONOMIC DYNAMICS & CONTROL, 2006, 30 (04): : 569 - 593
  • [10] Discrete Time Optimal Control Problems with Infinite Horizon
    Prazak, Pavel
    Fronckova, Katerina
    39TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ECONOMICS (MME 2021), 2021, : 405 - 410
12345