Library

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    A stochastic homicidal chauffeur pursuit-evasion differential game (1981)
    Springer
    Journal of optimization theory and applications 34 (1981), S. 405-424 
    Details
    ISSN: 1573-2878
    Keywords: Stochastic differential games ; pursuit-evasion ; homicidal chauffeur ; two-target differential games
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A certain stochastic pursuit-evasion problem of the homicidal chauffeur type is considered. The pursuer strategy synthesized in this paper is fairly simple in contrast to the less straightforward swerve maneuver employed in the deterministic model. The analysis may partially explain why relatively simple pursuit strategies are apparently always adopted in practice.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00934680
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    One pursuer and two evaders on the line: A stochastic pursuit-evasion differential game (1983)
    Springer
    Journal of optimization theory and applications 39 (1983), S. 513-539 
    Details
    ISSN: 1573-2878
    Keywords: Stochastic differential games ; pursuit-evasion ; degenerate parabolic partial differential equations ; convective heat conduction
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A differential game of pursuit and evasion on the real line is discussed with one pursuer and two evaders, the motion of the players being affected by noise. The game of degree is considered, where the pursuer strives to maximize the probability of his winning the game, i.e., of capturing at least one of the evaders, the probability function being given as a solution to a certain partial differential equation; the heat conduction analogy is also being discussed. The degenerate situation here arises in a natural way, and it is possible to present a quite detailed analysis of this case.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00933756
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Stochastic pursuit-evasion differential games in the plane (1986)
    Springer
    Journal of optimization theory and applications 50 (1986), S. 495-523 
    Details
    ISSN: 1573-2878
    Keywords: Stochastic differential games ; pursuit-evasion ; complete observation ; partial observation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Four stochastic pursuit-evasion differential games involving two players, P and E, moving in the plane are considered. The difference between the games lies in their information structures. In each of the games, sufficient conditions on optimal feedback strategies, in the cases of complete information, and on weak optimal feedback strategies, in the cases of incomplete information, are derived. Optimal strategies are computed for the cases of complete information and weak suboptimal strategies for the cases of incomplete information. The results indicate that the correct measurement of the direction of the segment PE is more important than the measurement of the distance (P, E).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00938634
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Stochastic pursuit-evasion differential games in 3D: The case of variable speed (1988)
    Springer
    Journal of optimization theory and applications 59 (1988), S. 25-38 
    Details
    ISSN: 1573-2878
    Keywords: Stochastic differential games ; pursuit-evasion ; information structure ; line-of-sight rate vector
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Stochastic pursuit-evasion differential games involving two players moving in the (x,y,z)-space are considered. A study is conducted of the roles of the pursuer's maneuverability and of information structure restrictions imposed on the pursuer's field of view or on the magnitude of the pursuer's line-of-sight rate vector, with respect to the outcome of the encounter.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939864
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    Stochastic pursuit-evasion differential games in 3D (1988)
    Springer
    Journal of optimization theory and applications 56 (1988), S. 345-357 
    Details
    ISSN: 1573-2878
    Keywords: Stochastic differential games ; partial information ; guidance laws
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A stochastic version of Isaacs's homicidal chauffeur game in the (x, y, z)-space is considered. This is used to solve a pursuit-evasion problem in the (x, y, z)-space in which the pursuer has incomplete information on the evader motion. Optimal feedback strategies for the game, and optimal feedback guidance laws for the pursuer, which uses only the measurements available to the pursuer, are computed. A simple suboptimal guidance law for the pursuer is suggested.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939548
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    Application of stochastic differential games to medium-range air-to-air missiles (1990)
    Springer
    Journal of optimization theory and applications 67 (1990), S. 355-367 
    Details
    ISSN: 1573-2878
    Keywords: Stochastic differential games ; thrust-mass profiles ; lock-on points ; air-to-air missiles
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Stochastic differential game techniques are applied to compare the performance of a medium-range air-to-air missile for three different thrust-mass profiles. The measure of the performance of the missile is the probability that it will reach a lock-on point with a favorable range of guidance and flight parameters during a fixed time interval [0,t f ].
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00940480
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    Proportional navigation and the game of two cars (1989)
    Springer
    Journal of optimization theory and applications 62 (1989), S. 351-369 
    Details
    ISSN: 1573-2878
    Keywords: Stochastic differential games ; game of two cars ; proportional navigation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A stochastic version of Isaacs's game of two cars is considered. The motion of the players is confined to the pursuer's effective operation zoneD P, and the cost function of the game is the probability of the event: {Before the evader enters his safe zone, the evader enters the pursuer's killing zoneK P, at somet, 0≤t≤T, or the evader stays at the domainD P−K P, for allt∈[0,t 0],t 0〉T}. By numerically solving a nonlinear parabolic boundary-value problem on a generalized torus in ∝3, it is shown that, for a range of values of some parameter, a proportional navigation guidance law is an optimal feedback pursuit strategy.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939811
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...