Artigo Revisado por pares

Two-on-One Pursuit

2019; American Institute of Aeronautics and Astronautics; Volume: 42; Issue: 7 Linguagem: Inglês

10.2514/1.g004068

ISSN

1533-3884

Autores

Meir Pachter, Alexander Von Moll, Eloy García, David W. Casbeer, Dejan Milutinović,

Tópico(s)

Game Theory and Applications

Resumo

No AccessEngineering NotesTwo-on-One PursuitMeir Pachter, Alexander Von Moll, Eloy Garcia, David W. Casbeer and Dejan MilutinovićMeir PachterAir Force Institute of Technology, Wright–Patterson Air Force Base, Ohio 45433, Alexander Von MollU.S. Air Force Research Laboratory, Wright–Patterson Air Force Base, Ohio 45433, Eloy GarciaU.S. Air Force Research Laboratory, Wright–Patterson Air Force Base, Ohio 45433, David W. CasbeerU.S. Air Force Research Laboratory, Wright–Patterson Air Force Base, Ohio 45433 and Dejan MilutinovićUniversity of California, Santa Cruz, Santa Cruz, California 95064Published Online:8 Feb 2019https://doi.org/10.2514/1.G004068SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Isaacs R., Differential Games: A Mathematical Theory with Applications to Optimization, Control and Warfare, Wiley, New York, 1965, pp. 148–149. Google Scholar[2] Steinhaus H. and Kuhn H. 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I., "A Game of Optimal Pursuit of One Object by Several," Journal of Applied Mathematics and Mechanics, Vol. 62, No. 2, 1998, pp. 187–192. doi:https://doi.org/10.1016/S0021-8928(98)00024-0 JAMMAR 0021-8928 CrossrefGoogle Scholar[16] Ibragimov G., Ferrara M., Kuchkarov A. and Pansera B. A., "Simple Motion Evasion Differential Game of Many Pursuers and Evaders with Integral Constraints," Dynamic Games and Applications, Vol. 8, No. 2, 2018, pp. 352–378. doi:https://doi.org/10.1007/s13235-017-0226-6 CrossrefGoogle Scholar[17] Von Moll A., Casbeer D., Garcia E., Milutinović D. and Pachter M., "The Multi-Pursuer Single-Evader Game: A Geometric Approach," Journal of Intelligent and Robotic Systems, Jan. 2019. doi:https://doi.org/10.1007/s10846-018-0963-9 CrossrefGoogle Scholar Previous article FiguresReferencesRelatedDetailsCited byRate of Loss Characterization That Resolves the Dilemma of the Wall Pursuit Game SolutionIEEE Transactions on Automatic Control, Vol. 68, No. 1A geometric approach to reach‐avoid games with time limits17 October 2022 | IET Control Theory & Applications, Vol. 17, No. 2A Two-Pursuer One-Evader Game with Equal Speed and Finite Capture Radius19 December 2022 | Journal of Intelligent & Robotic Systems, Vol. 106, No. 4Pure Pursuit with an Effector2 November 2022 | Dynamic Games and Applications, Vol. 41Reach-Avoid Games with a Time Limit and Detection Range: A Geometric ApproachComplexity, Vol. 2022An open loop Stackelberg solution to optimal strategy for UAV pursuit-evasion gameAerospace Science and TechnologyCooperative Hunting Strategy with a Superior Evader Based on Differential GameComplexity, Vol. 2022Reach‐avoid games with two heterogeneous defenders and one attacker29 November 2021 | IET Control Theory & Applications, Vol. 16, No. 3Revisiting a Three-Player Pursuit-Evasion Game5 July 2021 | Journal of Optimization Theory and Applications, Vol. 190, No. 2Cooperative Pursuit by Multiple Pursuers of a Single EvaderMeir Pachter, Alexander Von Moll, Eloy Garcia, David Casbeer and Dejan Milutinović21 February 2020 | Journal of Aerospace Information Systems, Vol. 17, No. 8Multiple-Pursuer, Single-Evader Border Defense Differential GameAlexander Von Moll, Eloy Garcia, David Casbeer, M. Suresh and Sufal Chandra Swar10 February 2020 | Journal of Aerospace Information Systems, Vol. 17, No. 8Cooperative Pursuit Guidance to Surround Intruder Swarms Using Collision ConesAnimesh Chakravarthy and Debasish Ghose11 May 2020 | Journal of Aerospace Information Systems, Vol. 17, No. 8Optimal Evasion Against Dual Pure Pursuit *On a Two Cutters and Fugitive Ship Differential GameIEEE Control Systems Letters, Vol. 3, No. 4Singular Trajectories in the Two Pursuer One Evader Differential Game What's Popular Volume 42, Number 7July 2019 CrossmarkInformationThis material is declared a work of the U.S. Government and is not subject to copyright protection in the United States. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the eISSN 1533-3884 to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp. TopicsControl TheoryGuidance, Navigation, and Control SystemsGuided MissilesMissile Systems, Dynamics and TechnologyMissilesOptimal Control TheorySurface-to-Air Missile KeywordsSurface to Air MissileValue FunctionClosed Loop SystemBoundary Value ProblemsNonlinear DynamicsAcknowledgmentsThis Note is based on work performed at the Air Force Institute of Technology and the U.S. Air Force Research Laboratory's Control Science Center of Excellence. The views expressed in this Note are those of the authors and do not reflect the official policy or position of the U.S. Air Force, the U.S. Department of Defense, or the U.S. Government.PDF Received9 October 2018Accepted24 December 2018Published online8 February 2019

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