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Differential Game of Guarding a Target

2017; American Institute of Aeronautics and Astronautics; Volume: 40; Issue: 11 Linguagem: Inglês

10.2514/1.g002652

1533-3884

Meir Pachter, Eloy García, David W. Casbeer,

Quantum chaos and dynamical systems

No AccessEngineering NoteDifferential Game of Guarding a TargetMeir Pachter, Eloy Garcia and David W. CasbeerMeir PachterAir Force Institute of Technology, Wright–Patterson Air Force Base, Ohio 45433, Eloy GarciaU.S. Air Force Research Laboratory, Wright–Patterson Air Force Base, Ohio 45433 and David W. CasbeerU.S. Air Force Research Laboratory, Wright–Patterson Air Force Base, Ohio 45433Published Online:7 Jun 2017https://doi.org/10.2514/1.G002652SectionsRead Now ToolsAdd to favoritesDownload citationTrack citations ShareShare onFacebookTwitterLinked InRedditEmail About References [1] Cardaliaguet P., "A Differential Game with Two Players and One Target," SIAM Journal on Control and Optimization, Vol. 34, No. 4, July 1996, pp. 1441–1460. doi:https://doi.org/10.1137/S036301299427223X SJCODC 0363-0129 CrossrefGoogle Scholar[2] Ganebny S. A., Kumkov S. S., Le Ménec S. and Patsko V. S., "Model Problem in a Line with Two Pursuers and One Evader," Dynamic Games and Applications, Vol. 2, No. 2, 2012, pp. 228–257. doi:https://doi.org/10.1007/s13235-012-0041-z CrossrefGoogle Scholar[3] Alpern S., Fokkink R., Lindelauf R. and Olsder G.-J., "The 'Princess and Monster' Game on an Interval," SIAM Journal on Control and Optimization, Vol. 47, No. 3, 2008, pp. 1178–1190. doi:https://doi.org/10.1137/060672054 CrossrefGoogle Scholar[4] Huang H., Zhang W., Ding J., Stipanovic D. M. and Tomlin C. 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K., "The Target Guarding Problem Revisited: Some Interesting Revelations," IFAC Proceeding Volumes, Vol. 47, No. 3, 2014, pp. 1556–1561. doi:https://doi.org/10.3182/20140824-6-ZA-1003-02297 CrossrefGoogle Scholar[8] Isaacs R., Differential Games, Wiley, New York, 1965, pp. 8–20. Google Scholar[9] Boyell R. L., "Defending a Moving Target Against Missile or Torpedo Attack," IEEE Transactions on Aerospace and Electronic Systems, Vol. AES-12, No. 4, 1976, pp. 522–526. doi:https://doi.org/10.1109/TAES.1976.308338 IEARAX 0018-9251 CrossrefGoogle Scholar[10] Pachter M., Garcia E. and Casbeer D. W., "Active Target Defense Differential Game," 52nd Annual Allerton Conference on Communication, Control, and Computing, IEEE Publ., Piscataway, NJ, 2014, pp. 46–53. doi:https://doi.org/10.1109/ALLERTON.2014.7028434 Google Scholar[11] Garcia E., Casbeer D. W., Pham K. and Pachter M., "Cooperative Aircraft Defense from an Attacking Missile," 53rd IEEE Conference on Decision and Control, IEEE Publ., Piscataway, NJ, 2014, pp. 2926–2931. doi:https://doi.org/10.1109/CDC.2014.7039839 Google Scholar[12] Garcia E., Casbeer D. W., Pham K. and Pachter M., "Cooperative Aircraft Defense from an Attacking Missile Using Proportional Navigation," AIAA Guidance, Navigation, and Control Conference, AIAA Paper 2015-0337, 2015. doi:https://doi.org/10.2514/6.2015-0337 LinkGoogle Scholar[13] Garcia E., Casbeer D. W. and Pachter M., "Cooperative Strategies for Optimal Aircraft Defense from an Attacking Missile," Journal of Guidance, Control, and Dynamics, Vol. 38, No. 8, 2015, pp. 1510–1520. doi:https://doi.org/10.2514/1.G001083 JGCODS 0731-5090 LinkGoogle Scholar Previous article Next article FiguresReferencesRelatedDetailsCited byJustification of the geometric solution of a target defense game with faster defenders and a convex target area using the HJI equationAutomatica, Vol. 149Reach-avoid game with circular goal regionStudy of Multiple Target Defense Differential Games Using Receding Horizon-Based Switching StrategiesIEEE Transactions on Control Systems Technology, Vol. 30, No. 4Optimal Cooperative Line-of-Sight Guidance for Defending a Guided Missile22 April 2022 | Aerospace, Vol. 9, No. 5Three-agent Time-constrained Cooperative Pursuit-Evasion22 January 2022 | Journal of Intelligent & Robotic Systems, Vol. 104, No. 2Reach‐avoid games with two heterogeneous defenders and one attacker29 November 2021 | IET Control Theory & Applications, Vol. 16, No. 3Guarding a Convex Target Set From an Attacker in Euclidean SpacesIEEE Control Systems Letters, Vol. 6Optimal Strategies for Guarding a Compact and Convex Target Set: A Differential Game ApproachDefending an Asset with Partial Information and Selected Observations: A Differential Game FrameworkRobust Perimeter Defense using Control Barrier FunctionsLiDAR-Inertial based Localization and Perception for Indoor Pursuit-Evasion Differential GamesA Differential Game Approach for Beyond Visual Range TacticsBeyond Visual Range TacticsEloy Garcia, Dzung M. Tran, David Casbeer, Dejan Milutinovic and Meir Pachter4 January 2021Capture-the-Flag: A Differential GameThe Target Guarding Problem: A real time solution for noise corrupted measurementsEuropean Journal of Control, Vol. 54A Two-team Linear Quadratic Differential Game of Defending a TargetSingle Pursuer and Two Cooperative Evaders in the Border Defense Differential GameJohn L. Salmon, Landon C. Willey, David Casbeer, Eloy Garcia and Alexander Von Moll19 March 2020 | Journal of Aerospace Information Systems, Vol. 17, No. 5Isaacs' Two-on-One Pursuit-Evasion Game10 November 2020Strategies for Defending a Coastline Against Multiple AttackersTeam Composition for Perimeter Defense with Patrollers and DefendersLinear Quadratic Formulation of the Target Defense Differential GameMaximizing the Target's Longevity in the Active Target Defense Differential GameToward a Solution of the Active Target Defense Differential Game16 March 2018 | Dynamic Games and Applications, Vol. 9, No. 1The Capture-the-Flag Differential Game What's Popular Volume 40, Number 11November 2017 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 ISSN 0731-5090 (print) or 1533-3884 (online) to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp. TopicsAir NavigationBoundary Element MethodComputational Fluid DynamicsControl TheoryFeedback ControlFluid DynamicsGuidance, Navigation, and Control SystemsNumerical AnalysisOptimal Control Theory KeywordsPontryagin's Maximum PrincipleLagrange MultipliersFeedback ControlHeading AngleBoundary Value ProblemsHoming MissileGuidance LawsPDF Received1 December 2016Accepted20 March 2017Published online7 June 2017