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A Note on Generalized Pursuit-Evasion Games

SIAM Journal on Control, 1975
Two 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
openaire   +2 more sources

Stochastic Linear Pursuit-Evasion Game

2012
The 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, 1967
Functional 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), 2011
This 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, 1994
This 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
openaire   +1 more source

StarCraft adversary-agent challenge for pursuit–evasion game

Journal of the Franklin Institute, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

A pursuit-evasion game with hybrid pursuer dynamics

2007 European Control Conference (ECC), 2007
In 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
openaire   +1 more source

Double threat in pursuit-evasion games

Dynamics and Control, 1994
zbMATH 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, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Turetsky, Vladimir, Shinar, Josef
openaire   +1 more source

Solution Techniques for Realistic Pursuit-Evasion Games

1981
The 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.
openaire   +2 more sources

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