Results 11 to 20 of about 25,759 (281)
Pursuit-evasion differential game with many inertial players [PDF]
Mathematical Problems in Engineering, 2009 We consider pursuit-evasion differential game of countable number inertial players in Hilbert space with integral constraints on the control functions of players. Duration of the game is fixed.
Ibragimov, Gafurjan I., Salimi, Mehdi
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The Role of Visibility in Pursuit/Evasion Games [PDF]
Robotics, 2014 The cops-and-robber (CR) game has been used in mobile robotics as a discretized model (played on a graph G) of pursuit/evasion problems. The “classic” CR version is a perfect information game: the cops’ (pursuer’s) location is always known to the robber (
Athanasios Kehagias +2 more
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Bounded-Rational Pursuit-Evasion Games [PDF]
2021 American Control Conference (ACC), 2021 We present a framework that incorporates the idea of bounded rationality into dynamic stochastic pursuit-evasion games. The solution of a stochastic game is characterized, in general, by its (Nash) equilibria in feedback form. However, computing these Nash equilibrium strategies may require extensive computational resources.
Guan, Yue +3 more
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Revisiting a Three-Player Pursuit-Evasion Game [PDF]
Journal of Optimization Theory and Applications, 2021 AbstractWe consider the game of a holonomic evader passing between two holonomic pursuers. The optimal trajectories of this game are known. We give a detailed explanation of the game of kind’s solution and present a computationally efficient way to obtain trajectories numerically by integrating the retrograde path equations.
János Szőts +2 more
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Pursuit-evasion games on Latin square graphs
Journal of Combinatorics, 2023 We investigate various pursuit-evasion parameters on latin square graphs, including the cop number, metric dimension, and localization number. The cop number of latin square graphs is studied, and for $k$-MOLS$(n),$ bounds for the cop number are given. If $n>(k+1)^2,$ then the cop number is shown to be $k+2.$ Lower and upper bounds are provided for ...
Ahirwar, Shreya +5 more
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DIFFERENTIAL GAME WITH A LIFELINE FOR THE INERTIAL MOVEMENTS OF PLAYERS
Ural Mathematical Journal, 2021 In this paper, we study the well-known problem of Isaacs called the "Life line" game when movements of players occur by acceleration vectors, that is, by inertia in Euclidean space.
Bahrom T. Samatov, Ulmasjon B. Soyibboev
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On a Linear Differential Game in the Hilbert Space ℓ2
Mathematics, 2023 Two player pursuit evasion differential game and time optimal zero control problem in ℓ2 are considered. Optimal control for the corresponding zero control problem is found.
Marks Ruziboev +4 more
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SIMPLE LINEAR PURSUIT–EVASION GAMES
Computers & Mathematics with Applications, 1987 A pursuit-evasion closed-loop qualitative game for a system \(\dot x=Ax+Bu+Cv\), \(u\in U\), \(v\in V\) (U and V are compacta) where \(\min_ u\max_ v\ell F(s)(Bu+Cv)\) (F(s) is the fundamental matrix) does not depend on \(\ell\), \(\| \ell \| =1\), and terminal set \(\{\) \(x: \| Dx\| \leq a\}\) is reduced to a family of games with terminal payoffs \(J=
Gutman, S., Esh, M., Gefen, M.
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Pursuit and evasion differential games in Hilbert Space [PDF]
, 2010 We consider pursuit and evasion differential game problems described by an infinite system of differential equations with countably many Pursuers in Hilbert space. Integral constraints are imposed on the controls of players.
Ibragimov, Gafurjan I. +1 more
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Parameterized pursuit-evasion games
Theoretical Computer Science, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Scott, Allan, Stege, Ulrike
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