Results 11 to 20 of about 6,124 (266)
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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2-Modem Pursuit-Evasion Problem [PDF]
SSRN Electronic Journal, 2013 In this paper we introduce a new version of the Pursuit-Evasion problem in which the pursuer is a 2-modem which pursues an unpredictable evader in a polygonal environment. A 2-modem searcher is a wireless device whose radio signal can penetrate two walls.
Bahoo, Yeganeh +3 more
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Pursuit Evasion on Polyhedral Surfaces [PDF]
Algorithmica, 2013 The authors consider a discrete-time pursuit-evasion game played on the surface of a 3-dimensional polyhedron. Play alternates between a team of pursuers and a single evader. On the pursuers' turn, all pursuers may simultaneously move a distance of up to 1 on the surface; on the evader's turn, they may likewise move up to 1 unit away from their current
Klein, Kyle, Suri, Subhash
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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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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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Randomized Pursuit-Evasion with Local Visibility [PDF]
, 2006 We study the following pursuit-evasion game: One or more hunters are seeking to capture an evading rabbit on a graph. At each round, the rabbit tries to gather information about the location of the hunters but it can see them only if they are located on ...
Sampath Kannan +2 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-evasion predator-prey waves in two spatial dimensions [PDF]
, 2004 We consider a spatially distributed population dynamics model with excitable predator-prey dynamics, where species propagate in space due to their taxis with respect to each other's gradient in addition to, or instead of, their diffusive spread. Earlier,
A. V. Holden +6 more
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