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Abstract: this document is to flesh out and adapt the results of Merz in [1] to the three dimensional aircraft collision example. In both cases, the differential game scenario features two identical vehicles in a game of cat and mouse. The cat (called the pursuer below) is considered to capture the mouse (called the evader) if the cat ever gets within a certain distance--called the capture radius--of the mouse. Both vehicles are treated with kinematic models in which they have the same fixed forward... (Update)
Context of citations to this paper: More
.... and results for computing reachable sets for continuous systems (1) The material in this section is presented in detail in [6, 8, 52, 53]. 3.1 A Game of Two Identical Vehicles As our demonstration example we will adapt a classical pursuit evasion game involving two...
.... our demonstration example we will adopt a classical pursuit evasion game involving two identical vehicles moving in the plane (see [35, 36] for more details) If the vehicles get too close together, a collision occurs. One of the vehicles (the pursuer) wants to cause a...
Cited by: More
Overapproximating Reachable Sets by Hamilton-Jacobi Projections - Mitchell, Tomlin (2002) (Correct)
Computational Techniques for the Verification and.. - Tomlin, Mitchell.. (Correct)
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0.1: Safety Verification of Conflict Resolution Maneuvers - Tomlin, Mitchell, Ghosh (2001) (Correct)
0.1: Computational Tools for the Verification of Hybrid.. - Tomlin, Boyd, Mitchell, .. (Correct)
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2: Computing reachable sets for continuous dynamic games using level set methods (context) - Mitchell, Bayen et al. - 2001
2: Reachability Analysis Using Polygonal Projections (context) - Greenstreet, Mitchell - 1999
2: Level Set Methods and Dynamic Implicit Surfaces (context) - Osher, Fedkiw - 2002
BibTeX entry: (Update)
I. Mitchell, "Games of two identical vehicles," Tech. Rep. SUDAAR 740, Stanford University, Department of Aeronautics and Astronautics, July, 2001. http://citeseer.ist.psu.edu/mitchell01games.html More
@misc{ mitchell01games,
author = "I. Mitchell",
title = "Games of two identical vehicles",
text = "I. Mitchell, Games of two identical vehicles, Tech. Rep. SUDAAR 740, Stanford
University, Department of Aeronautics and Astronautics, July, 2001.",
year = "2001",
url = "citeseer.ist.psu.edu/mitchell01games.html" }
Citations (may not include all citations):19 Hybrid Control of Air Traffic Management Systems (context) - Tomlin - 1998
8 Validating a Hamilton-Jacobi Approxima- tion to Hybrid Syste.. - Mitchell, Bayen et al. - 2034
3 The Game of Two Identical Cars (context) - Merz - 1972
1 Dynamic Noncooperative Game Theory 2 nd ed (context) - Bazar, Olsder - 1999
Documents on the same site (http://www-sccm.stanford.edu/Students/mitchell/): More
Computing Power into the 21st Century: Moore's Law and Beyond - Mitchell (1998) (Correct)
Matrix Factorizations in Fixed Point on the C6x VLIW.. - Golub, Mitchell (1998) (Correct)
Matrix Factorizations in Fixed Point on the C6x VLIW.. - Golub, Mitchell (1998) (Correct)
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