Linear Differential Games with Delayed and Noisy Information

被引:5
|
作者
Mori, K. [1 ]
Shimemura, E. [1 ]
机构
[1] Waseda Univ, Dept Elect Engn, Tokyo, Japan
关键词
Differential games; information delays; linear-quadratic games; stochastic games;
D O I
10.1007/BF00934865
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
This paper deals with a linear-quadratic-Gaussian zero-sum game in which one player has delayed and noisy information and the other has perfect information. Assuming that the player with perfect information can deduce his opponent's state estimate, the optimal closed-loop control laws are derived. Then, it is shown that the separation theorem is satisfied for the player with imperfect information and his optimal state estimate is given by a delay-differential equation.
引用
收藏
页码:275 / 289
页数:15
相关论文
共 50 条
  • [31] Existence and Uniqueness of Open-Loop Stackelberg Equilibria in Linear-Quadratic Differential Games
    G. Freiling
    G. Jank
    S. R. Lee
    Journal of Optimization Theory and Applications, 2001, 110 : 515 - 544
  • [32] Approximation and representation of the value for some differential games with asymmetric information
    A. Souquière
    International Journal of Game Theory, 2010, 39 : 699 - 722
  • [33] Level sets of the value function in linear differential games with elliptical vectograms
    Kumkov, SS
    Patsko, VS
    Shinar, J
    CONTROL APPLICATIONS OF OPTIMIZATION 2000, VOLS 1 AND 2, 2000, : 579 - 584
  • [34] On the Numerical Solution of Differential Games for Neutral-Type Linear Systems
    M. I. Gomoyunov
    N. Yu. Lukoyanov
    Proceedings of the Steklov Institute of Mathematics, 2018, 301 : 44 - 56
  • [35] Cooperative linear quadratic differential games for uncertain systems with conservative players
    Zhang, Weixian
    Shi, Zongying
    Zhong, Yisheng
    ASIAN JOURNAL OF CONTROL, 2023, 25 (05) : 4005 - 4021
  • [36] Level sets of value function and singular surfaces in linear differential games
    Kumkov, SS
    Patsko, VS
    NONSMOOTH AND DISCONTINUOUS PROBLEMS OF CONTROL AND OPTIMIZATION (NDPCO'98), 1999, : 143 - 148
  • [37] On the Numerical Solution of Differential Games for Neutral-Type Linear Systems
    Gomoyunov, M., I
    Lukoyanov, N. Yu
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2018, 301 : S44 - S56
  • [38] Subgame-perfection in quitting games with perfect information and differential equations
    Solan, E
    MATHEMATICS OF OPERATIONS RESEARCH, 2005, 30 (01) : 51 - 72
  • [39] Common Information Based Markov Perfect Equilibria for Stochastic Games With Asymmetric Information: Finite Games
    Nayyar, Ashutosh
    Gupta, Abhishek
    Langbort, Cedric
    Basar, Tamer
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (03) : 555 - 570
  • [40] COMMON INFORMATION BASED MARKOV PERFECT EQUILIBRIA FOR LINEAR-GAUSSIAN GAMES WITH ASYMMETRIC INFORMATION
    Gupta, Abhishek
    Nayyar, Ashutosh
    Langbort, Cedric
    Basar, Tamer
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2014, 52 (05) : 3228 - 3260