user

Game-theoretical problems for fractional-order nonstationary systems

被引：0
|
作者：
Ivan Matychyn
Viktoriia Onyshchenko
机构：
[1] University of Warmia and Mazury in Olsztyn,Faculty of Mathematics and Computer Science
[2] University of Gdańsk,Institute of Informatics
来源：
Fractional Calculus and Applied Analysis | 2023年 / 26卷
关键词：
Fractional calculus (primary); Fractional differential equation; Differential game; Set-valued map; Quasi-strategy; 26A33 (primary); 34A08; 49N70;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Nonstationary fractional-order systems represent a new class of dynamic systems characterized by time-varying parameters as well as memory effect and hereditary properties. Differential game described by system of linear nonstationary differential equations of fractional order is treated in the paper. The game involves two players, one of which tries to bring the system’s trajectory to a terminal set, whereas the other strives to prevent it. Using the technique of set-valued maps and their selections, sufficient conditions for reaching the terminal set in a finite time are derived. Theoretical results are supported by a model example.
引用
收藏
页码：1031 / 1051
页数：20
相关论文
共 50 条
  • [1] Game-theoretical problems for fractional-order nonstationary systems
    Matychyn, Ivan
    Onyshchenko, Viktoriia
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2023, 26 (03) : 1031 - 1051
  • [2] Game Problems for Fractional-Order Systems
    Chikrii, Arkadii
    Matychyn, Ivan
    [J]. NEW TRENDS IN NANOTECHNOLOGY AND FRACTIONAL CALCULUS APPLICATIONS, 2010, : 233 - 241
  • [3] Game problems for fractional-order linear systems
    Chikrii, A. A.
    Matichin, I. I.
    [J]. TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2009, 15 (03): : 262 - 278
  • [4] Game problems for fractional-order linear systems
    A. A. Chikrii
    I. I. Matichin
    [J]. Proceedings of the Steklov Institute of Mathematics, 2010, 268 : 54 - 70
  • [5] Game problems for fractional-order linear systems
    Chikrii, A. A.
    Matichin, I. I.
    [J]. PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2010, 268 : 54 - 70
  • [6] Dynamic game problems of approach for fractional-order equations
    Éidel'Man S.D.
    Chikrii A.A.
    [J]. Ukrainian Mathematical Journal, 2000, 52 (11) : 1787 - 1806
  • [7] Optimization of game interaction of fractional-order controlled systems
    Chikrii, Arkadii A.
    [J]. OPTIMIZATION METHODS & SOFTWARE, 2008, 23 (01): : 39 - 72
  • [8] Stability, Periodicity, and Related Problems in Fractional-Order Systems
    Feckan, Michal
    Danca, Marius-F.
    [J]. MATHEMATICS, 2022, 10 (12)
  • [9] Fractional-order ADRC framework for fractional-order parallel systems
    Li, Zong-yang
    Wei, Yi-heng
    Wang, Jiachang
    Li, Aug
    Wang, Jianli
    Wang, Yong
    [J]. PROCEEDINGS OF THE 39TH CHINESE CONTROL CONFERENCE, 2020, : 1813 - 1818
  • [10] Game problems for systems with fractional derivatives of arbitrary order
    Chikrii, Arkadii A.
    [J]. Advances in Dynamic Games: APPLICATIONS TO ECONOMICS, MANAGEMENT SCIENCE, ENGINEERING, AND ENVIRONMENTAL MANAGEMENT, 2006, 8 : 105 - 113
12345