Titlebook: New Trends in Dynamic Games and Applications; Annals of the Intern Geert Jan Olsder Conference proceedings 1995 Birkhäuser Boston 1995 Alge

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Bert Fristedt,Stephan Lapic,William D. Sudderthetente, profilierte Herausgeber.Includes supplementary materDieses Buch richtet sich in erster Linie an Studierende in Studiengängen mit umweltwissenschaftlichem Schwerpunkt sowie an Physiker, Chemiker und Biologen, die umweltbezogene Themenfelder aufgreifen und vertiefen wollen. Das Buch gliedert s

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Convergence of Discrete Schemes for Discontinuous Value Functions of Pursuit-Evasion Gamesgeneralized (viscosity) solutions of the Dirichlet boundary value problem associated to the Isaacs equation, and a suitable variant of Fleming’s notion of value. We test the algorithm on some examples of games in the plane.

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H∞-Control of Nonlinear Singularly Perturbed Systems and Invariant Manifoldsimal controller in the powers of a small parameter by solving the reduced-order slow partial differential equations and algebraic equations. Under some assumptions a high-order accuracy controller achieves a performance with a high order of accuracy.

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A Hybrid (Differential-Stochastic) Zero-Sum Game with a Fast Stochastic Part form to the maximum principle; this determines a pair of stationary strategies for the players, which is asymptotically a saddle point, as the number of transitions during the finite time horizon grows to infinity

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A Linear Pursuit-Evasion Game with a State Constraint for a Highly Maneuverable Evader the existence of the state constraint creates new singular phenomena which substantially modify the solution. The results of the analysis serve as the basis for the investigation of challenging realistic (imperfect information) future defense problems.

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Optimal Selection of Observation Times in a Costly Information Gamech the instants of observation are chosen by the pursuer in an open loop way (at the beginning of the game) and the case in which he chooses these instants according to the last information obtained (i.e., he chooses in a feedback way).

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Undiscounted Zero Sum Differential Games with Stopping Timesich is naturally associated with the value function of the original problem..The main contribution of this paper is the complete characterization of the set of solutions and the description of a procedure to identify the desired solution. We also present accelerated algorithms in order to efficiently compute the discrete solution.