Existence of open-loop equilibria in differential games with impulsive effects suffered by logic choice

被引:4
|
作者
Xue, Yuting [1 ,2 ]
Sun, Jitao [1 ,3 ]
Zhang, Yu [1 ]
机构
[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
[2] Tongji Univ, Key Lab Intelligent Comp & Applicat, Minist Educ, Shanghai, Peoples R China
[3] Nantong Univ, Sch Math & Stat, Nantong 226019, Peoples R China
关键词
Impulsive effect; Logic choice; Differential game; Equilibrium; Semi-tensor product; PARETO-NASH EQUILIBRIUM; STABILITY; SYSTEMS;
D O I
10.1016/j.sysconle.2024.105729
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper proposes a novel class of differential games where one player adopts piecewise constant strategies and the other implements impulse suffered by logic choice. To the best of our knowledge, the discussion in this paper has been the first try to investigate differential games with impulsive effects suffered by logic choice. Based on semi -tensor product, impulsive effects suffered by logic choice can be represented algebraically. The form of impulse in this paper is more general than those in previous related literature. Further, the existence of open -loop Nash equilibria is investigated and verification conditions are obtained. At last, the case of multiobjects is generalized, and verification theorems about the existence of weakly Pareto-Nash equilibria are derived.
引用
收藏
页数:8
相关论文
共 50 条
  • [41] An Open-Loop Differential Time Amplifier
    Kwon, Hye-Jung
    Lim, Ji-Hoon
    Kim, Byungsub
    Sim, Jae-Yoon
    Park, Hong-June
    2014 INTERNATIONAL SOC DESIGN CONFERENCE (ISOCC), 2014, : 106 - 107
  • [42] Open-Loop Nash Equilibrium Problem in Polynomial Stochastic Differential Games with Incomplete Information
    Jimenez-Lizarraga, Manuel
    Basin, Michael
    Rodriguez-Carreon, Celeste
    Rodriguez-Ramirez, Pablo
    2013 9TH ASIAN CONTROL CONFERENCE (ASCC), 2013,
  • [43] Open-loop and feedback LQ potential differential games for Multi-Agent Systems
    Scarpa, M. L.
    Mylvaganam, T.
    2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC, 2023, : 6283 - 6288
  • [44] SOLUTION OF OPEN-LOOP NASH-RICCATI EQUATIONS IN LINEAR QUADRATIC DIFFERENTIAL GAMES
    SIMAAN, M
    CRUZ, JB
    INTERNATIONAL JOURNAL OF CONTROL, 1973, 18 (01) : 57 - 63
  • [45] Numerical Solution of Open-Loop Nash Differential Games Based on the Legendre Tau Method
    Banadaki, Mojtaba Dehghan
    Navidi, Hamidreza
    GAMES, 2020, 11 (03): : 1 - 11
  • [46] Coordinate Transformations and Derivation of Open-Loop Nash Equilibria
    E. J. Dockner
    G. Leitmann
    Journal of Optimization Theory and Applications, 2001, 110 : 1 - 15
  • [47] Coordinate transformations and derivation of open-loop Nash equilibria
    Dockner, EJ
    Leitmann, G
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 110 (01) : 1 - 15
  • [48] On the open-loop Nash equilibrium in LQ-games
    Engwerda, JC
    JOURNAL OF ECONOMIC DYNAMICS & CONTROL, 1998, 22 (05): : 729 - 762
  • [49] Choice logic programs and Nash equilibria in strategic games
    De Vos, M
    Vermeir, D
    COMPUTER SCIENCE LOGIC, PROCEEDINGS, 1999, 1683 : 266 - 276
  • [50] Impulsive synchronization motion in networked open-loop multibody systems
    Xing-Jie Wu
    Jin Zhou
    Lan Xiang
    Chun-Nan Lin
    Hua Zhang
    Multibody System Dynamics, 2013, 30 : 37 - 52