Linear quadratic pursuit-evasion games with terminal velocity constraints

被引:12
|
作者
BenAsher, JZ
机构
[1] Tel-Aviv Univ, Ramat-Aviv
关键词
D O I
10.2514/3.21647
中图分类号
V [航空、航天];
学科分类号
08 ; 0825 ;
摘要
A class of feedback solutions is achieved from a performance index that contains a weighted combination of the pursuer's control effort, the evader's effort, the miss distance, and the terminal lateral velocity. The trajectories can terminate with capture or perfect intercepts, but with various values for the terminal lateral velocity. A perfect rendezvous arises in solutions to the optimization problem that are simple and may be easily expressed in closed form. The models used are extremely simplified.
引用
收藏
页码:499 / 501
页数:3
相关论文
共 50 条
  • [1] LINEAR-QUADRATIC STOCHASTIC PURSUIT-EVASION GAMES
    BAGCHI, A
    OLSDER, GJ
    [J]. APPLIED MATHEMATICS AND OPTIMIZATION, 1981, 7 (02): : 95 - 123
  • [2] Trajectory shaping in linear-quadratic pursuit-evasion games
    Ben-Asher, JZ
    Levinson, S
    [J]. JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2004, 27 (06) : 1102 - 1105
  • [3] SOLVABILITY OF LINEAR-QUADRATIC DIFFERENTIAL GAMES ASSOCIATED WITH PURSUIT-EVASION PROBLEMS
    Shinar, Josef
    Turetsky, Vladimir
    Glizer, Valery Y.
    Ianovsky, Eduard
    [J]. INTERNATIONAL GAME THEORY REVIEW, 2008, 10 (04) : 481 - 515
  • [4] SIMPLE LINEAR PURSUIT-EVASION GAMES.
    Gutman, S.
    Esh, M.
    Gefen, M.
    [J]. Computers & mathematics with applications, 1987, 13 (1-3): : 83 - 95
  • [5] SOLUTION OF LINEAR STOCHASTIC PURSUIT-EVASION GAMES
    NICHOLS, WG
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (04): : 1476 - &
  • [6] PURSUIT-EVASION GAMES ON GRAPHS
    CHUNG, FRK
    COHEN, JE
    GRAHAM, RL
    [J]. JOURNAL OF GRAPH THEORY, 1988, 12 (02) : 159 - 167
  • [7] ON A CLASS OF PURSUIT-EVASION GAMES
    CHYUNG, DH
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1970, AC15 (04) : 458 - &
  • [8] Parameterized pursuit-evasion games
    Scott, Allan
    Stege, Ulrike
    [J]. THEORETICAL COMPUTER SCIENCE, 2010, 411 (43) : 3845 - 3858
  • [9] GENERALIZED PURSUIT-EVASION GAMES
    ELLIOTT, RJ
    FRIEDMAN, A
    [J]. SIAM JOURNAL ON CONTROL, 1975, 13 (01): : 105 - 109
  • [10] PURSUIT-EVASION DIFFERENTIAL GAMES WITH GR-CONSTRAINTS ON CONTROLS
    Samatov, B. T.
    Akbarov, A. Kh
    Zhuraev, B., I
    [J]. IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA, 2022, 59 : 67 - 84