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Dynamic Games and Applications, 2017
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Fonseca-Morales, Alejandra +1 more
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SIAM Journal on Control, 1974
A pursuit problem and an evasion problem are formulated and results are obtained for the case in which the dynamics are governed by linear differential equations and the terminal set is a linear manifold in the state space. Conditions are given ensuring the existence of an open set in the phase space such that if the initial state belongs to this set ...
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A pursuit problem and an evasion problem are formulated and results are obtained for the case in which the dynamics are governed by linear differential equations and the terminal set is a linear manifold in the state space. Conditions are given ensuring the existence of an open set in the phase space such that if the initial state belongs to this set ...
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Noncooperative Differential Games
Milan Journal of Mathematics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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SIAM Journal on Control and Optimization, 1988
The author discusses a uniform approach to problems of differential game theory, optimal control theory and stability theory. Notions for various purposes are introduced such as ``asymptotic stability'', ``stabilizability'' and ``controllability'' of control systems.
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The author discusses a uniform approach to problems of differential game theory, optimal control theory and stability theory. Notions for various purposes are introduced such as ``asymptotic stability'', ``stabilizability'' and ``controllability'' of control systems.
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Stochastic differential portfolio games
Journal of Applied Probability, 1998We study stochastic dynamic investment games in continuous time between two investors (players) who have available two different, but possibly correlated, investment opportunities. There is a single payoff function which depends on both investors’ wealth processes.
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SIAM Journal on Control and Optimization, 1988
The evasion problem for nonlinear systems with closed (or closed and convex) terminal manifold is studied. The controls of the pursuer are measurable functions with values in a compact set U while the evader chooses the value of his control at time t based on the previously chosen control of the pursuer and on the trajectory of the state equation up to
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The evasion problem for nonlinear systems with closed (or closed and convex) terminal manifold is studied. The controls of the pursuer are measurable functions with values in a compact set U while the evader chooses the value of his control at time t based on the previously chosen control of the pursuer and on the trajectory of the state equation up to
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OPTIMIZATION IN DIFFERENTIAL GAMES
Russian Mathematical Surveys, 1978OPTIMAL CONTROL IN REGULAR DYNAMICAL SYSTEMS N N Krasovskii ON THE THEORY OF DIFFERENTIAL GAMES L S Pontryagin A SHORT AUTOBIOGRAPHY OF L. S. PONTRYAGIN N Jacobson Evgenii Frolovich Mishchenko (on the 90th anniversary of his birth) Dmitry V Anosov, Sergei M Aseev, Revaz V Gamkrelidze et al. LINEAR DIFFERENTIAL GAMES OF PURSUIT L S Pontrjagin THE LINEAR
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Stochastic Differential Game Techniques
1981The paper deals with the theory of stochastic differential games and includes a comprehensive review of the subject under discussion. The main aspects of stochastic differential games discussed in the paper are: problem formulation, solution concepts and the difficulties encountered in trying to obtain a solution.
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