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A Note on Generalized Pursuit-Evasion Games
SIAM Journal on Control, 1975Two player zero sum differential games are an extension of optimal control problems. When the cost or payoff is the integral of some function h up to the first time the trajectory enters a “terminal set” the differential game is one of survival. If $h \equiv 1$, the payoff is just the time elapsed up to the “capture time” and the game is one of pursuit
Elliott, Robert J., Friedman, Avner
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Stochastic Linear Pursuit-Evasion Game
2012The 1950’s saw the introduction of guided interceptor missiles and the launching of Sputnik I. Questions on pursuit and evasion were suddenly in everyone’s mind. What is the best strategy to intercept a moving target? How can friendly planes best avert midair collisions?
Kandethody M. Ramachandran +1 more
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On Function Space Pursuit-Evasion Games
SIAM Journal on Control, 1967Functional analysis is used to analyze a minimax problem for a class of functionals on a Hilbert space. The abstract solution is then interpreted, through examples, in the context of pursuit-evasion games. The examples given are chosen to emphasize the breadth of the analysis. Some computational aspects of the minimax problem are considered.
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Harbor attack: A pursuit-evasion game
2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2011This paper studies a concrete pursuit-evasion game in which the evader, a.k.a. the intruder, tries to reach a harbor via a rectangular channel, while the pursuer, a.k.a. the defender, tries to stop him. Our goal is to develop insight into the nature of this game, the impact of the quality of information, and the potential evasion and defense numerical ...
Jean Walrand, Elijah Polak, Hoam Chung
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Pursuit evasion game with costly information
Dynamics and Control, 1994This paper is devoted to the study of a pursuit-evasion game in finite- dimensional state space with incomplete (for pursuer) information about state. The dynamic of the evader's (E) position in pursuer's (P) coordinate system is described by the simple-motion equation (1): \(\dot x= v- u- w\), \(x(0)= x_0\), \(x, u, v, w\in \mathbb{R}^n\), where the ...
Bernhard, Pierre, Pourtallier, Odile
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StarCraft adversary-agent challenge for pursuit–evasion game
Journal of the Franklin Institute, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A pursuit-evasion game with hybrid pursuer dynamics
2007 European Control Conference (ECC), 2007In this paper the authors study the pursuit-evasion game with hybrid dynamics of the pursuer and give a new approach to the solution of this game. The approach takes into account the ZEM (Zero-Effort Miss) discontinuity, yielding a new auxiliary game with impulsive dynamics.
Shinar, Josef +2 more
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Double threat in pursuit-evasion games
Dynamics and Control, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Missile Guidance Laws Based on Pursuit-Evasion Game Formulations
IFAC Proceedings Volumes, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Turetsky, Vladimir, Shinar, Josef
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Solution Techniques for Realistic Pursuit-Evasion Games
1981The objective of the article is to demonstrate that realistic pursuit- evasion problems formulated as zero-sum differential games can be meaningfully solved by analytical methods. The first step and the key for success towards such a solution is appropriate mathematical modelling of the problem.
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