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  • 1
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Chemical Physics Letters 199 (1992), S. 379-382 
    ISSN: 0009-2614
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Applied mathematics & optimization 5 (1979), S. 83-86 
    ISSN: 1432-0606
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider the finite-dimensional linear control system, with minimal assumptions concerning the control restraint set Ω. Specifically, we consider the set of reachable states and conclude that as far as controllability is concerned, Ω can be replaced by convhull(Ω).
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 34 (1981), S. 383-403 
    ISSN: 1573-2878
    Keywords: Differential games ; pursuit-evasion ; homicidal chauffeur ; Lyapunov methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Two-target versions of the game of two cars and the homicidal chauffeur game are introduced. This enables us to consider pursuitevasion withouta priori role assignment. A generic example of the two-target homicidal chauffeur game is considered in detail; in particular, a map of the game and its corresponding winning strategies are found using Lyapunov methods of analysis. The effects of altering game parameters, such as the speed and maneuverability ratios, and the weapon system parameters are then presented. It is found that certain winning strategies include a swerve-type maneuver and that, for certain sets of parameters, regions of stagnation and different modes of draw occur.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 34 (1981), S. 405-424 
    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
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 39 (1983), S. 513-539 
    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
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 51 (1986), S. 95-127 
    ISSN: 1573-2878
    Keywords: Differential games ; pursuit-evasion ; stroboscopic strategies ; Stackelberg strategies ; guidance ; line-of-sight law ; collision course law ; proportional navigation law
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider pursuit-evasion differential games in the plane in which the players, i.e., the pursuer and the evader, have simple motion and are pedestrians à la Isaacs. Two information patterns are considered, namely the classical feedback strategy and the stroboscopic pursuit strategy; loosely speaking, the latter incorporates the instantaneous control employed by the evader, which we assume to be known to the pursuer. Within this framework, the question of modelling a pursuit-evasion encounter is addressed, and we examine three well-known guidance schemes of the line-of-sight, collision course, and proportional navigation types.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 51 (1986), S. 129-159 
    ISSN: 1573-2878
    Keywords: Pursuit-evasion ; guidance ; proportional navigation ; optimal control
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The problem of the optimal evasion from a pursuer employing proportional navigation guidance is considered. Thus, we consider the problem of maximizing the time-to-capture when the problem parameters, namely, the speed ratio and the proportional navigation constant, are such that capturability of the evader is guaranteed.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 25 (1978), S. 117-123 
    ISSN: 1573-2878
    Keywords: Constrained controllability ; conic control constraint
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A sufficient condition is given for controllability with conic control constraint set, and a control is computed which performs the transfer to the origin.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 42 (1984), S. 143-155 
    ISSN: 1573-2878
    Keywords: Stackelberg differential games ; road vehicles ; automatic transmissions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Attention is given to the control-theoretic aspects of the operation of an automatic transmission for a road vehicle. A differential game model for vehicle control is presented and analyzed; furthermore, the approach leads to a synthesis of the optimal feedback strategy for the selection of the transmission ratio of the automatic gearbox.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 56 (1988), S. 179-204 
    ISSN: 1573-2878
    Keywords: Collision avoidance ; optimal evasion ; differential games
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We consider a collision avoidance optimal control problem. The kinematics is modelled by a maneuverable pointE in the plane, with a limited rate of turn (a car à la Isaacs), that is moving at a constant speedv E and is trying to avoid a circular disc of radiusl centered around a pointP, known to move at a constant speedv P in the positive direction of they-axis. Global questions, answered analytically in the paper, are these: (i) the initial positions are determined ofE, relative toP, for which the capture ofE byP is assured—we characterize the capture zone in the state space; (ii) given thatE is initially in the capture zone, we solve the optimal control problem of steeringE to maximize the bearing ofE fromP at the instant of capture; (iii) we investigate the dependence of the answers to (i) and (ii) on the problem parameters α≜v P/v E〉1 andl. We solve completely a relatively simple, but practically meaningful, optimal evasion problem, not, to our knowledge, previously published.
    Type of Medium: Electronic Resource
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