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Plane Pursuit with Curvature Constraints
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1967
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Mathematical ProgrammingEngineeringAutonomous SystemsPlane PursuitPlanar Pursuit-evasion GameTrajectory PlanningGuidance SystemSystems EngineeringDubins PathsComputational GeometryTracking ControlGeometric ModelingCross Ref InterceptionMathematical Control TheoryFlight OptimizationInverse ProblemsConic OptimizationSparse RepresentationAerospace EngineeringNatural SciencesCompressive SensingTrajectory Optimization
Previous article Next article Plane Pursuit with Curvature ConstraintsErnest CockayneErnest Cockaynehttps://doi.org/10.1137/0115133PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Rufus Isaacs, Differential games. A mathematical theory with applications to warfare and pursuit, control and optimization, John Wiley & Sons Inc., New York, 1965xvii+384 MR0210469 (35:1362) 0125.38001 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Time-optimal guidance for intercepting moving targets with impact-angle constraintsChinese Journal of Aeronautics, Vol. 35, No. 7 Cross Ref A two-phase evasive strategy for a pursuit-evasion problem involving two non-holonomic agents with incomplete informationEuropean Journal of Control, Vol. 12 Cross Ref A Time-Optimal Feedback Control for a Particular Case of the Game of Two CarsIEEE Transactions on Automatic Control, Vol. 67, No. 4 Cross Ref Time-optimal guidance for intercepting moving targets by Dubins vehiclesAutomatica, Vol. 128 Cross Ref Time-Optimal Interception of a Moving Target by a Dubins Car1 June 2021 | Automation and Remote Control, Vol. 82, No. 5 Cross Ref Characterization of the game of two cars using reachable sets for feedback strategies Cross Ref Guidance and control for own aircraft in the autonomous air combat: A historical review and future prospects11 December 2019 | Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, Vol. 233, No. 16 Cross Ref A computationally efficient feedback solution for a particular case of the game of two cars Cross Ref Necessary Conditions for “Hit-to-Kill” in Missile Interception EngagementsJournal of Guidance, Control, and Dynamics, Vol. 41, No. 4 Cross Ref On guaranteeing point capture in linear n -on-1 endgame interception engagements with bounded controlsAutomatica, Vol. 85 Cross Ref A Comprehensive Differential Game Theoretic Solution to a Game of Two Cars5 July 2017 | Journal of Optimization Theory and Applications, Vol. 174, No. 3 Cross Ref Multiple-Pursuer/One-Evader Pursuit–Evasion Game in Dynamic FlowfieldsJournal of Guidance, Control, and Dynamics, Vol. 40, No. 7 Cross Ref Pursuit-evasion games in dynamic flow fields via reachability set analysis Cross Ref TowardsThe Design of An Intelligent Aerospace Pursuit - 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Part A: Systems and Humans, Vol. 38, No. 6 Cross Ref On a nonlinear problem of a sequential control with a parameter5 July 2008 | Journal of Computer and Systems Sciences International, Vol. 47, No. 3 Cross Ref A pursuit game with range-only measurements Cross Ref Numerical control optimization methods in one pursuit-evasion problemJournal of Computer and Systems Sciences International, Vol. 45, No. 3 Cross Ref Singular Arcs in the Optimal Evasion Against a Proportional Navigation VehicleJournal of Optimization Theory and Applications, Vol. 113, No. 2 Cross Ref A problem of the sequential approach to a group of moving points by a third-order non-linear control systemJournal of Applied Mathematics and Mechanics, Vol. 66, No. 5 Cross Ref A pursuit-evasion game with one curvature constraintOptimal Control Applications and Methods, Vol. 21, No. 2 Cross Ref Homicidal Chauffeur Game with Target Set in the Shape of a Circular Angular Sector: Conditions for Existence of a Closed BarrierJournal of Optimization Theory and Applications, Vol. 101, No. 3 Cross Ref Parallel Navigation Cross Ref Construction of optimal position strategies in a differential pursuit-evasion game with one pursuer and two evadersJournal of Applied Mathematics and Mechanics, Vol. 61, No. 3 Cross Ref Optimal planar interception with fixed end conditions: Closed-form solutionJournal of Optimization Theory and Applications, Vol. 88, No. 3 Cross Ref Precursory analysis in combat systems simulation including clarification of key areas and option refinementSimulation Practice and Theory, Vol. 3, No. 2 Cross Ref APPLICATION OF RECEDING HORIZON CONTROL STRATEGY TO PURSUIT‐EVASION PROBLEMS1 April 1995 | Optimal Control Applications and Methods, Vol. 16, No. 2 Cross Ref On the structure of a class of time-optimal trajectoriesOptimal Control Applications and Methods, Vol. 14, No. 4 Cross Ref An approach-evasion game of two controllable objects with restricted manoeuvrabilityJournal of Applied Mathematics and Mechanics, Vol. 57, No. 3 Cross Ref Qualitative study of a planar pursuit evasion game in the atmosphereJournal of Guidance, Control, and Dynamics, Vol. 13, No. 6 Cross Ref Minimum-time turn trajectories to fly-to pointsOptimal Control Applications and Methods, Vol. 11, No. 1 Cross Ref An optimal guidance law for a planar pursuit-evasion game of kindComputers & Mathematics with Applications, Vol. 18, No. 1-3 Cross Ref Qualitative study of a planar pursuit evasion game in the atmosphere17 August 2012 Cross Ref Optimal Pursuit on Lagrangian OrbitsZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 67, No. 9 Cross Ref Auxiliary problem concerning optimal pursuit on Lagrangian orbitsJournal of Guidance, Control, and Dynamics, Vol. 9, No. 6 Cross Ref Comparison of the solutions of linear and non-linear positional differential games of encounterJournal of Applied Mathematics and Mechanics, Vol. 50, No. 4 Cross Ref On the game of two carsJournal of Optimization Theory and Applications, Vol. 44, No. 3 Cross Ref Optimal guidance law in the planeJournal of Guidance, Control, and Dynamics, Vol. 7, No. 4 Cross Ref The game of two elliptical shipsOptimal Control Applications and Methods, Vol. 4, No. 1 Cross Ref Solution Techniques for Realistic Pursuit-Evasion Games Cross Ref Three-dimensional optimal pursuit and evasion with bounded controlsIEEE Transactions on Automatic Control, Vol. 25, No. 3 Cross Ref Delayed Decisions in Zero-Sum Differential GamesIFAC Proceedings Volumes, Vol. 11, No. 1 Cross Ref Minimum required capture radius in a coplanar model of the aerial combat problemAIAA Journal, Vol. 15, No. 8 Cross Ref Estimation of Weapon-Radius vs Maneuverability Tradeoff for Air-to-Air CombatAIAA Journal, Vol. 15, No. 2 Cross Ref Plane Motion of a Particle Subject to Curvature ConstraintsE. J. Cockayne and G. W. C. Hall18 July 2006 | SIAM Journal on Control, Vol. 13, No. 1AbstractPDF (1726 KB)Pursuit Games: A Survey Cross Ref ON SOME STOCHASTIC DIFFERENTIAL GAMES Cross Ref Proportional Navigation with a Maneuvering TargetIEEE Transactions on Aerospace and Electronic Systems, Vol. AES-8, No. 3 Cross Ref On Pursuit with Curvature ConstraintsG. T. Rublein18 July 2006 | SIAM Journal on Control, Vol. 10, No. 1AbstractPDF (306 KB)Lecture notes Cross Ref A new technique for solving pursuit-evasion differential gamesIEEE Transactions on Automatic Control, Vol. 14, No. 4 Cross Ref Volume 15, Issue 6| 1967SIAM Journal on Applied Mathematics History Submitted:14 March 1966Published online:17 February 2012 InformationCopyright © 1967 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0115133Article page range:pp. 1511-1516ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics
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