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  • Artikel  (8)
  • Differential games
  • Springer  (8)
  • American Chemical Society
  • Annual Reviews
  • Blackwell Publishing Ltd
  • Elsevier
  • Wiley
  • 2005-2009
  • 1990-1994  (3)
  • 1980-1984  (5)
  • 2008
  • 1992  (3)
  • 1982  (5)
  • Mathematik  (8)
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  • Artikel  (8)
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  • Springer  (8)
  • American Chemical Society
  • Annual Reviews
  • Blackwell Publishing Ltd
  • Elsevier
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  • 2005-2009
  • 1990-1994  (3)
  • 1980-1984  (5)
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  • 1
    Digitale Medien
    Digitale Medien
    A differential game of industrial pollution management (1992)
    Springer
    Annals of operations research 37 (1992), S. 297-311 
    Details
    ISSN: 1572-9338
    Schlagwort(e): Differential games ; open-loop equilibrium ; feedback Nash equilibrium ; state-separable differential games
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik , Wirtschaftswissenschaften
    Notizen: Abstract This paper explores a differential game between a policy maker and a profit maximizing entrepreneur in which production generates pollution. The government levies a pollution tax on output and uses the tax received for pollution abatement. The entrepreneur determines the level of output. A feedback Nash equilibrium is derived. Using more specific functional forms, the game is extended to cover the multiple firm case.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02071062
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  • 2
    Digitale Medien
    Digitale Medien
    NonlinearH ∞ control theory for stable plants (1992)
    Springer
    Mathematics of control, signals, and systems 5 (1992), S. 233-261 
    Details
    ISSN: 1435-568X
    Schlagwort(e): H ∞-control ; Differential games ; Nonlinear optimal control
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Elektrotechnik, Elektronik, Nachrichtentechnik , Mathematik , Technik allgemein
    Notizen: Abstract We analyze various aspects of the nonlinear time-invariantH∞ control problem in the discrete-time setting. A recipe is presented that is shown to generate a solution of theH ∞ problem in a precise but weak sense, and which is conjectured to generate a genuine solution in very general circumstances. The recipe involves a version of the Hamilton-Jacobi-Bellman-Isaacs equation from differential game theory. An illustrative example is presented.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01211560
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  • 3
    Digitale Medien
    Digitale Medien
    Asymptotic analysis of nonlinear stochastic risk-sensitive control and differential games (1992)
    Springer
    Mathematics of control, signals, and systems 5 (1992), S. 401-417 
    Details
    ISSN: 1435-568X
    Schlagwort(e): Nonlinear stochastic systems ; Risk-sensitive optimal control ; Differential games ; Viscosity solutions ; Large deviations ; Asymptotic series ; Robust control
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Elektrotechnik, Elektronik, Nachrichtentechnik , Mathematik , Technik allgemein
    Notizen: Abstract In this paper we consider a finite horizon, nonlinear, stochastic, risk-sensitive optimal control problem with complete state information, and show that it is equivalent to a stochastic differential game. Risk-sensitivity and small noise parameters are introduced, and the limits are analyzed as these parameters tend to zero. First-order expansions are obtained which show that the risk-sensitive controller consists of a standard deterministic controller, plus terms due to stochastic and game-theoretic methods of controller design. The results of this paper relate to the design of robust controllers for nonlinear systems.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02134013
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  • 4
    Digitale Medien
    Digitale Medien
    On the isochronous and stroboscopic capture in differential games (1982)
    Springer
    Journal of optimization theory and applications 37 (1982), S. 115-119 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Differential games ; isochronous capture ; stroboscopic strategy
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract In Ref. 1, Hájek formulated the conjecture that isochronous capture is necessarily stroboscopic in linear differential games. Here, it is shown that this conjecture is not valid.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00934369
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  • 5
    Digitale Medien
    Digitale Medien
    A class of differential games for which the closed-loop and open-loop Nash equilibria coincide (1982)
    Springer
    Journal of optimization theory and applications 36 (1982), S. 253-262 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Differential games ; Nash equilibria ; open-loop strategies ; closed-loop strategies
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract It is well known that, in general, Nash equilibria in open-loop strategies do not coincide with those in closed-loop strategies. This note identifies a class of differential games in which the Nash equilibrium in closed-loop strategies is degenerate, in the sense that it depends on time only. Consequently, the closed-loop equilibrium is also an equilibrium in open-loop strategies.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00933832
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  • 6
    Digitale Medien
    Digitale Medien
    Singular differential game numerical techniques (1982)
    Springer
    Journal of optimization theory and applications 37 (1982), S. 69-87 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Differential games ; singular arcs ; saddle points ; two-point boundary-value problems ; switching times ; closed-loop solutions ; inverse systems
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract This paper develops a numerical technique to solve a class of zero-sum differential games with singular control. By using this technique and the application of inverse systems, a near-optimal closed-loop technique is developed to generate a numerical solution to this class of problems.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00934367
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  • 7
    Digitale Medien
    Digitale Medien
    Remarks on capture-avoidance games (1982)
    Springer
    Journal of optimization theory and applications 37 (1982), S. 121-122 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Differential games ; pursuit and evasion ; captureavoidance ; linear games
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract Corrections to some results of Ref. 1 are stated.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00934370
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  • 8
    Digitale Medien
    Digitale Medien
    Existence of value in differential games with fixed time duration (1982)
    Springer
    Journal of optimization theory and applications 38 (1982), S. 581-598 
    Details
    ISSN: 1573-2878
    Schlagwort(e): Differential games ; optimal strategies ; value of a game
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract A differential game of prescribed duration with general-type phase constraints is investigated. The existence of a value in the Varaiya-Lin sense and an optimal strategy for one of the players is obtained under assumptions ensuring that the sets of all admissible trajectories for the two players are compact in the Banach space of all continuous functions. These results are next widened on more general games, examined earlier by Varaiya.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00934489
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