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Generalized Differential Games
Dynamic Games and Applications, 2022In this paper, a generalized differential game is a two-player differential game, with a constraint on the controls of the players. More precisely, if \(\eta(\tau)\) and \(\xi(\tau)\) respectively denote the controls of the players at time \(\tau\), the authors consider a constraint of type \(g(\eta(\tau),\xi(\tau))\leq 0\) for all \(\tau\), where \(g\)
Emmanuel N. Barron, K. T. Nguyen
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Dynamic Games and Applications, 2017
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Alejandra Fonseca-Morales +1 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alejandra Fonseca-Morales +1 more
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Superparasitism as a differential game
Theoretical Population Biology, 2007Superparasitism refers to a female parasitoid laying an egg in a host already parasitized by a conspecific. In solitary species, only one offspring per host is expected to complete development, hence the game. Hosts are often clumped in patches and several females exploiting such an aggregate of resource make its state change over time, hence the ...
Hamelin, Frédéric +2 more
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IFAC Proceedings Volumes, 1990
The concept of the extension of terminal surface is pointed out for the first time in this paper. We use this concept to analyse one kind of one-versus-many multi-stage differential games of kind, then develope them to many-person two-team multi-stage differential games. To illustrate the solution of general problems we analyse a simple example.
Hai-Long Pei, Ming-An Tong
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The concept of the extension of terminal surface is pointed out for the first time in this paper. We use this concept to analyse one kind of one-versus-many multi-stage differential games of kind, then develope them to many-person two-team multi-stage differential games. To illustrate the solution of general problems we analyse a simple example.
Hai-Long Pei, Ming-An Tong
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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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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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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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ON THE THEORY OF DIFFERENTIAL GAMES
Russian Mathematical Surveys, 1966CONTENTSIntroduction § 1. The pursuit problem § 2. The differential game § 3. Introduction of new variables § 4. Proof of the first version of Theorem 1 § 5. Linear differential games § 6. The control example of the pursuit problem § 7. A sharpening of condition 5 § 8. Proof of the second version of Theorem 1 § 9.
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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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ON A CLASS OF DIFFERENTIAL GAMES
1969Two player zero-sum differential games with emphasis on play with state determined by differential equations, noting optimal ...
Leĭtman, G., Mon, G.
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