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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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Capture zones in a pursuit-evasion game

42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475), 2004
Necessary and sufficient conditions for the existence of capture zones in a pursuit-evasion game between a guided missile and its aerial target are derived. Forward canard or aft tail controlled interceptor and target, both having first order biproper transfer functions to represent their closed loop maneuver dynamics, are studied.
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Surveillance for Security as a Pursuit-Evasion Game

2014
This work addresses a visibility-based target tracking problem that arises in autonomous surveillance for covert security applications. Consider a mobile observer, equipped with a camera, tracking a target in an environment containing obstacles. The interaction between the target and the observer is assumed to be adversarial in order to obtain control ...
S. Bhattacharya   +2 more
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On-line solution of a stochastic pursuit-evasion game

Journal of Optimization Theory and Applications, 1979
In this paper, the concepts of prior-commitment and delayed-commitment strategies for zero-sum, linear-quadratic differential games with noise-corrupted measurements are applied to a detailed example of a pursuit-evasion game. Quasilinearization is used to solve the nonlinear two-point boundary-value problem of the prior-commitment game.
Leondes, C. T., Mons, B.
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Pursuit-Evasion Games of High Speed Evader

Journal of Intelligent & Robotic Systems, 2016
In this paper, we address pursuit-evasion games of high speed evader involving multiple pursuers and a single evader with holonomic constraints in an open domain. The existing work on this problem discussed the required formation and capture strategy for a group of pursuers.
Venkata Ramana Makkapati, Mangal Kothari
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Control Sequencing in a Game of Identity Pursuit-Evasion

SIAM Journal on Control and Optimization, 2015
Summary: The optimal control sequence is found for the capture by a pursuer of the identities of an arbitrary number of evaders. The pursuer moves to observe the face of each evader, which each evader simultaneously moves to conceal. A dynamic game model is used, with metrics defining evader observability and utility functions embodying pursuer and ...
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On a class of pursuit-evasion games

IEEE Transactions on Automatic Control, 1970
A class of pursuit-evasion games is studied. The problem is to find an optimal control pair which is a saddle point of the terminal miss distance functional, minimizes cost functionals of the pursuer and the evader, and steers the pursuer and the evader to their respective targets. Necessary conditions for an optimal control pair are obtained.
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On Porter's pursuit-evasion games

Journal of Optimization Theory and Applications, 1970
A minimax problem for Porter's class of functionals is considered in the case when the two players' strategies are elements of convex and strongly or weakly compact subsets of real Hilbert spaces. Functional analysis is used to prove sufficient conditions ensuring the existence of saddle points.
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Effects of side jet on pursuit-evasion games

Proceedings of 2003 IEEE Conference on Control Applications, 2003. CCA 2003., 2004
It is hard for missile to intercept the target which maneuvers in a smart way. To succeed in intercepting the target, some modern missiles are equipped with side jets. To verify the improvement of the interception performance by side jets, the effect of the side jet is modeled to apply to pursuit-evasion game.
Su-Jin Lee, Jin-Ik Lee, Min-Jea Tahk
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Policy Improvements for Probabilistic Pursuit-Evasion Game

Journal of Intelligent & Robotic Systems, 2013
This paper focuses on a pursuit-evasion game (PEG) which involves two teams: one side consists of pursuers trying to minimize the time required to capture evaders, and the other side consists of evaders trying to maximize the capture time by escaping the pursuers.
Dong Jun Kwak, H. Jin Kim
openaire   +2 more sources

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