Planning Algorithms: Planning Under Differential Constraints

[1]  Frédéric H. Pighin,et al.  Motion graphs , 2002, SIGGRAPH Classes.

[2]  Alonzo Kelly,et al.  Generating near minimal spanning control sets for constrained motion planning in discrete state spaces , 2005, 2005 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[3]  Munther A. Dahleh,et al.  Maneuver-based motion planning for nonlinear systems with symmetries , 2005, IEEE Transactions on Robotics.

[4]  H. Sussmann,et al.  A very non-smooth maximum principle with state constraints , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[5]  M. Spong,et al.  Robot Modeling and Control , 2005 .

[6]  J. W. Hartmann.  Counter-intuitive behavior in locally optimal solar sail escape trajectories , 2005 .

[7]  Vijay Kumar,et al.  RoboTrikke: A Novel Undulatory Locomotion System , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[8]  A. Borisov,et al.  On the History of the Development of the Nonholonomic Dynamics , 2005, nlin/0502040.

[9]  A. D. Lewis,et al.  Geometric Control of Mechanical Systems , 2004, IEEE Transactions on Automatic Control.

[10]  Bruce Randall Donald,et al.  Provably good approximation algorithms for optimal kinodynamic planning: Robots with decoupled dynamics bounds , 1995, Algorithmica.

[11]  Bruce Randall Donald,et al.  Provably good approximation algorithms for optimal kinodynamic planning for Cartesian robots and open-chain manipulators , 1995, Algorithmica.

[12]  Stephen R. Tate,et al.  Continuous alternation: The complexity of pursuit in continuous domains , 1993, Algorithmica.

[13]  Florent Lamiraux,et al.  Reactive path deformation for nonholonomic mobile robots , 2004, IEEE Transactions on Robotics.

[14]  H. Sussmann,et al.  Underwater vehicles: the minimum time problem , 2004, 2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601).

[15]  I. Michael Ross,et al.  Pseudospectral methods for optimal motion planning of differentially flat systems , 2004, IEEE Transactions on Automatic Control.

[16]  Katsu Yamane,et al.  Synthesizing animations of human manipulation tasks , 2004, ACM Trans. Graph..

[17]  Lucas Kovar,et al.  Automated extraction and parameterization of motions in large data sets , 2004, ACM Trans. Graph..

[18]  Antonio Bicchi,et al.  Motion planning through symbols and lattices , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[19]  Florent Lamiraux,et al.  Kinodynamic motion planning: connecting exploration trees using trajectory optimization Methods , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[20]  Emilio Frazzoli,et al.  Improving the performance of sampling-based planners by using a symmetry-exploiting gap reduction algorithm , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[21]  Emilio Frazzoli,et al.  Incremental Search Methods for Reachability Analysis of Continuous and Hybrid Systems , 2004, HSCC.

[22]  Hajime Asama,et al.  Inevitable collision states — a step towards safer robots? , 2004, Adv. Robotics.

[23]  Andrew W. Moore,et al.  Variable Resolution Discretization in Optimal Control , 2002, Machine Learning.

[24]  Thierry Fraichard,et al.  From Reeds and Shepp's to continuous-curvature paths , 1999, IEEE Transactions on Robotics.

[25]  Michael M. Curtiss,et al.  RRTs for nonlinear, discrete, and hybrid planning and control , 2003, 42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475).

[26]  Emilio Frazzoli,et al.  Exploiting group symmetries to improve precision in kinodynamic and nonholonomic planning , 2003, Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453).

[27]  Vijay Kumar,et al.  Dynamics and generation of gaits for a planar rollerblader , 2003, Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453).

[28]  Kevin M. Lynch,et al.  Exact minimum control switch motion planning for the snakeboard , 2003, Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453).

[29]  Ian M. Mitchell,et al.  Overapproximating Reachable Sets by Hamilton-Jacobi Projections , 2003, J. Sci. Comput..

[30]  Gregory S. Chirikjian,et al.  Probabilistic models of dead-reckoning error in nonholonomic mobile robots , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[31]  Daniel Thalmann,et al.  Planning Collision‐Free Reaching Motions for Interactive Object Manipulation and Grasping , 2003, Comput. Graph. Forum.

[32]  A. Piazzi,et al.  G3-splines for the path planning of wheeled mobile robots , 2003, 2003 European Control Conference (ECC).

[33]  Jeff M. Phillips,et al.  Spacecraft Rendezvous and Docking with Real-Time, Randomized Optimization , 2003 .

[34]  Alonzo Kelly,et al.  Reactive Nonholonomic Trajectory Generation via Parametric Optimal Control , 2003, Int. J. Robotics Res..

[35]  Warren E. Dixon,et al.  Nonlinear Control of Engineering Systems: A Lyapunov-Based Approach , 2003 .

[36]  Jean-Daniel Boissonnat,et al.  A Polynomial-Time Algorithm for Computing Shortest Paths of Bounded Curvature AmidstModerate Obstacles , 2003, Int. J. Comput. Geom. Appl..

[37]  A. Bloch,et al.  Nonholonomic Mechanics and Control , 2004, IEEE Transactions on Automatic Control.

[38]  Antonio Bicchi,et al.  On the reachability of quantized control systems , 2002, IEEE Trans. Autom. Control..

[39]  Francesco Bullo,et al.  Series expansions for analytic systems linear in control , 2002, Autom..

[40]  Jessica K. Hodgins,et al.  Interactive control of avatars animated with human motion data , 2002, SIGGRAPH.

[41]  C. Karen Liu,et al.  Synthesis of complex dynamic character motion from simple animations , 2002, ACM Trans. Graph..

[42]  Jean-Claude Latombe,et al.  Randomized Kinodynamic Motion Planning with Moving Obstacles , 2002, Int. J. Robotics Res..

[43]  Devin J. Balkcom,et al.  Time Optimal Trajectories for Bounded Velocity Differential Drive Vehicles , 2002, Int. J. Robotics Res..

[44]  Todd D. Murphey,et al.  Control of multiple model systems , 2002 .

[45]  John T. Wen,et al.  Control of Nonholonomic Systems , 2002 .

[46]  F. Bullo,et al.  Randomized searches and nonlinear programming in trajectory planning , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[47]  P. Krishnaprasad,et al.  Oscillations, SE(2)-snakes and motion control: A study of the Roller Racer , 2001 .

[48]  Steven M. LaValle,et al.  Reducing metric sensitivity in randomized trajectory design , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).

[49]  Steven M. LaValle,et al.  Algorithms for Computing Numerical Optimal Feedback Motion Strategies , 2001, Int. J. Robotics Res..

[50]  Kevin M. Lynch,et al.  Kinematic controllability for decoupled trajectory planning in underactuated mechanical systems , 2001, IEEE Trans. Robotics Autom..

[51]  M. Coutinho.  Dynamic Simulations of Multibody Systems , 2001, Springer New York.

[52]  Matthew T. Mason,et al.  Mechanics of Robotic Manipulation , 2001 .

[53]  Thierry Fraichard,et al.  Smooth path planning for cars , 2001, Proceedings 2001 ICRA. IEEE International Conference on Robotics and Automation (Cat. No.01CH37164).

[54]  E. Feron,et al.  Real-time motion planning for agile autonomous vehicles , 2000, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[55]  A. Kilin.  THE DYNAMICS OF CHAPLYGIN BALL: THE QUALITATIVE AND COMPUTER ANALYSIS , 2001 .

[56]  P. Cheng,et al.  RRT-based trajectory design for autonomous automobiles and spacecraft , 2001 .

[57]  Thomas H. Cormen,et al.  Introduction to algorithms [2nd ed.] , 2001 .

[58]  Francesco Bullo,et al.  Series Expansions for the Evolution of Mechanical Control Systems , 2001, SIAM J. Control. Optim..

[59]  Naoji Shiroma,et al.  Collision-Free Trajectory Planning for a 3-DoF Robot with a Passive Joint , 2000, Int. J. Robotics Res..

[60]  John N. Tsitsiklis,et al.  A survey of computational complexity results in systems and control , 2000, Autom..

[61]  Antonio Bicchi,et al.  Rolling bodies with regular surface: controllability theory and applications , 2000, IEEE Trans. Autom. Control..

[62]  Steven M. Seitz,et al.  Interactive manipulation of rigid body simulations , 2000, SIGGRAPH.

[63]  Bruno Siciliano,et al.  Modelling and Control of Robot Manipulators , 1997, Advanced Textbooks in Control and Signal Processing.

[64]  H. Kushner.  Numerical Methods for Stochastic Control Problems in Continuous Time , 2000 .

[65]  M. Bridson,et al.  Metric Spaces of Non-Positive Curvature , 1999 .

[66]  Florent Lamiraux,et al.  Motion planning and control for Hilare pulling a trailer , 1999, IEEE Trans. Robotics Autom..

[67]  S. Sastry.  Nonlinear Systems: Analysis, Stability, and Control , 1999 .

[68]  Jean-Claude Latombe,et al.  Autonomous agents for real-time animation , 1999 .

[69]  Jean-Paul Laumond,et al.  Topological property for collision-free nonholonomic motion planning: the case of sinusoidal inputs for chained form systems , 1998, IEEE Trans. Robotics Autom..

[70]  Mark H. Overmars,et al.  Multilevel Path Planning for Nonholonomic Robots Using Semiholonomic Subsystems , 1998, Int. J. Robotics Res..

[71]  Ping Lu,et al.  Entry Guidance for the X-33 Vehicle , 1998 .

[72]  Jean-Paul Laumond,et al.  Robot Motion Planning and Control , 1998 .

[73]  J. Betts.  Survey of Numerical Methods for Trajectory Optimization , 1998 .

[74]  Giuseppe Oriolo,et al.  Feedback control of a nonholonomic car-like robot , 1998 .

[75]  Frédéric Jean,et al.  Geometry of nonholonomic systems , 1998 .

[76]  T. Frankel.  The Geometry of Physics , 1997 .

[77]  Yoshihiko Nakamura,et al.  Nonlinear behavior and control of a nonholonomic free-joint manipulator , 1997, IEEE Trans. Robotics Autom..

[78]  T. Nettleton,et al.  Advanced Engineering Dynamics , 1997 .

[79]  Florent Lamiraux,et al.  Flatness and small-time controllability of multibody mobile robots: Application to motion planning , 1997, 1997 European Control Conference (ECC).

[80]  Thierry Fraichard,et al.  Collision-free and continuous-curvature path planning for car-like robots , 1997, Proceedings of International Conference on Robotics and Automation.

[81]  Rajeev Motwani,et al.  Nonholonomic path planning for pushing a disk among obstacles , 1997, Proceedings of International Conference on Robotics and Automation.

[82]  Mark de Berg,et al.  Computational geometry: algorithms and applications , 1997 .

[83]  V. Jurdjevic.  Geometric control theory , 1996 .

[84]  M. Rathinam,et al.  Configuration flatness of Lagrangian systems underactuated by one control , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[85]  R. Abgrall.  Numerical discretization of the first‐order Hamilton‐Jacobi equation on triangular meshes , 1996 .

[86]  Michael T. Heath,et al.  Scientific Computing: An Introductory Survey , 1996 .

[87]  Gene H. Golub,et al.  Matrix computations (3rd ed.) , 1996 .

[88]  P. Souéres,et al.  Shortest paths synthesis for a car-like robot , 1996, IEEE Trans. Autom. Control..

[89]  Pierre Ferbach,et al.  A method of progressive constraints for nonholonomic motion planning , 1996, Proceedings of IEEE International Conference on Robotics and Automation.

[90]  Kevin M. Lynch,et al.  Stable Pushing: Mechanics, Controllability, and Planning , 1995, Int. J. Robotics Res..

[91]  A. Dontchev.  Discrete approximations in optimal control , 1996 .

[92]  F. Camilli,et al.  Approximation of Optimal Control Problems with State Constraints: Estimates and Applications , 1996 .

[93]  Antonio Bicchi,et al.  Planning motions of rolling surfaces , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[94]  Jorge Angeles,et al.  Fundamentals of Robotic Mechanical Systems: Theory, Methods, and Algorithms , 1995 .

[95]  David C. Brogan,et al.  Animating human athletics , 1995, SIGGRAPH.

[96]  Jörnsen Reimpell,et al.  The Automotive Chassis: Engineering Principles , 1995 .

[97]  S. Shankar Sastry,et al.  Steering Three-Input Nonholonomic Systems: The Fire Truck Example , 1995, Int. J. Robotics Res..

[98]  Chi-Tsong Chen,et al.  Linear System Theory and Design , 1995 .

[99]  M. Fliess,et al.  Flatness and defect of non-linear systems: introductory theory and examples , 1995 .

[100]  Mark H. Overmars,et al.  Coordinated motion planning for multiple car-like robots using probabilistic roadmaps , 1995, Proceedings of 1995 IEEE International Conference on Robotics and Automation.

[101]  Dimitri P. Bertsekas,et al.  Dynamic Programming and Optimal Control, Two Volume Set , 1995 .

[102]  A. Bloch,et al.  Nonholonomic Control Systems on Riemannian Manifolds , 1995 .

[103]  Karl Johan Åström,et al.  PID Controllers: Theory, Design, and Tuning , 1995 .

[104]  Naomi Ehrich Leonard,et al.  Motion control of drift-free, left-invariant systems on Lie groups , 1995, IEEE Trans. Autom. Control..

[105]  Robert F. Stengel,et al.  Optimal Control and Estimation , 1994 .

[106]  John T. Wen,et al.  Nonholonomic path planning with inequality constraints , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[107]  Jérôme Barraquand,et al.  A penalty function method for constrained motion planning , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[108]  Richard M. Murray,et al.  A Mathematical Introduction to Robotic Manipulation , 1994 .

[109]  C. Fernandes,et al.  Near-optimal nonholonomic motion planning for a system of coupled rigid bodies , 1994, IEEE Trans. Autom. Control..

[110]  Vladimir Borisov,et al.  Theory of Chattering Control , 1994 .

[111]  J. Marsden,et al.  Introduction to mechanics and symmetry , 1994 .

[112]  Eduardo Sontag.  Gradient techniques for systems with no drift: a classical idea revisited , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[113]  Naomi Ehrich Leonard,et al.  Averaging for attitude control and motion planning , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[114]  H. Sussmann,et al.  A continuation method for nonholonomic path-finding problems , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[115]  Velimir Jurdjevic.  The geometry of the plate-ball problem , 1993 .

[116]  Bruce Randall Donald,et al.  Kinodynamic motion planning , 1993, JACM.

[117]  Leon A. Petrosjan,et al.  Differential Games of Pursuit , 1993 .

[118]  Thierry Fraichard,et al.  Dynamic trajectory planning with dynamic constraints: A 'state-time space' approach , 1993, Proceedings of 1993 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS '93).

[119]  Jean-Paul Laumond,et al.  Primitives for smoothing mobile robot trajectories , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[120]  S. Sastry,et al.  Nonholonomic motion planning: steering using sinusoids , 1993, IEEE Trans. Autom. Control..

[121]  D. Normand-Cyrot,et al.  An introduction to motion planning under multirate digital control , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[122]  J. Canny,et al.  Nonholonomic Motion Planning , 1992 .

[123]  Kang G. Shin,et al.  Minimum-time collision-free trajectory planning for dual-robot systems , 1992, IEEE Trans. Robotics Autom..

[124]  C. M. Place.  Dynamical Systems: Differential Equations, Maps, and Chaotic Behaviour , 1992 .

[125]  Leonid Gurvits,et al.  Averaging approach to nonholonomic motion planning , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[126]  Jean-Daniel Boissonnat,et al.  Shortest paths of bounded curvature in the plane , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[127]  Z. Shiller,et al.  Computation of Path Constrained Time Optimal Motions With Dynamic Singularities , 1992 .

[128]  T D Gillespie,et al.  Fundamentals of Vehicle Dynamics , 1992 .

[129]  Steven Dubowsky,et al.  On computing the global time-optimal motions of robotic manipulators in the presence of obstacles , 1991, IEEE Trans. Robotics Autom..

[130]  Jean-Claude Latombe.  A Fast Path Planner for a Car-Like Indoor Mobile Robot , 1991, AAAI.

[131]  Jean-Paul Laumond,et al.  Controllability of a multibody mobile robot , 1991, Fifth International Conference on Advanced Robotics 'Robots in Unstructured Environments.

[132]  Gerardo Lafferriere,et al.  Motion planning for controllable systems without drift , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[133]  Zexiang Li,et al.  A variational approach to optimal nonholonomic motion planning , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[134]  Jean-Claude Latombe,et al.  Nonholonomic multibody mobile robots: Controllability and motion planning in the presence of obstacles , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[135]  Jean-Claude Latombe,et al.  Robot motion planning , 1970, The Kluwer international series in engineering and computer science.

[136]  Tamer Basar,et al.  Game theory and H∞-optimal control. The continuous-time case , 1991 .

[137]  M. D. Ardema,et al.  Dynamic game applied to coordination control of two arm robotic system , 1991 .

[138]  David S. Watkins,et al.  Fundamentals of matrix computations , 1991 .

[139]  L. Shepp,et al.  OPTIMAL PATHS FOR A CAR THAT GOES BOTH FORWARDS AND BACKWARDS , 1990 .

[140]  J. Yong.  A zero-sum differential game in a finite duration with switching strategies , 1990 .

[141]  John F. Canny,et al.  An exact algorithm for kinodynamic planning in the plane , 1990, SCG '90.

[142]  Arjan van der Schaft,et al.  Non-linear dynamical control systems , 1990 .

[143]  Zexiang Li,et al.  Motion of two rigid bodies with rolling constraint , 1990, IEEE Trans. Robotics Autom..

[144]  B. Anderson,et al.  Optimal control: linear quadratic methods , 1990 .

[145]  Tsuneo Yoshikawa,et al.  Foundations of Robotics: Analysis and Control , 1990 .

[146]  L. S. Zaremba.  Differential games reducible to optimal control problems , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[147]  John F. Canny,et al.  Planning smooth paths for mobile robots , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[148]  J. Zabczyk.  Some comments on stabilizability , 1989 .

[149]  Gordon T. Wilfong,et al.  Planning constrained motion , 1988, STOC '88.

[150]  James E. Bobrow,et al.  Optimal Robot Path Planning Using the Minimum-Time Criterion , 2022 .

[151]  Jean-Jacques E. Slotine,et al.  Improving the Efficiency of Time-Optimal Path-Following Algorithms , 1988, 1988 American Control Conference.

[152]  J. Yong.  On differential evasion games , 1988 .

[153]  J. Yong.  Differential pursuit games , 1987, 26th IEEE Conference on Decision and Control.

[154]  John F. Canny,et al.  New lower bound techniques for robot motion planning problems , 1987, 28th Annual Symposium on Foundations of Computer Science (sfcs 1987).

[155]  Roy Featherstone,et al.  Robot Dynamics Algorithms , 1987 .

[156]  Yaakov Yavin,et al.  Pursuit-evasion differential games , 1987 .

[157]  H. Sussmann.  A general theorem on local controllability , 1987 .

[158]  Henry Stark,et al.  Probability, Random Processes, and Estimation Theory for Engineers , 1995 .

[159]  Jean-Paul Laumond,et al.  Feasible Trajectories for Mobile Robots with Kinematic and Environment Constraints , 1986, IAS.

[160]  Ralph W. Pike,et al.  Optimization for Engineering Systems , 1986 .

[161]  N. McKay,et al.  A dynamic programming approach to trajectory planning of robotic manipulators , 1986 .

[162]  Friedrich Pfeiffer,et al.  A concept for manipulator trajectory planning , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[163]  D. Pierre.  Optimization Theory with Applications , 1986 .

[164]  Christos Papadimitriou,et al.  Intractable problems in control theory , 1985, 1985 24th IEEE Conference on Decision and Control.

[165]  Kang G. Shin,et al.  Minimum-time control of robotic manipulators with geometric path constraints , 1985 .

[166]  R. González,et al.  On Deterministic Control Problems: An Approximation Procedure for the Optimal Cost I. The Stationary Problem , 1985 .

[167]  Z. Shiller,et al.  On the optimal control of robotic manipulators with actuator and end-effector constraints , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[168]  H. Hermes,et al.  Nilpotent bases for distributions and control systems , 1984 .

[169]  David J. McGill,et al.  An introduction to dynamics , 1984 .

[170]  J. Hollerbach.  Dynamic Scaling of Manipulator Trajectories , 1983, 1983 American Control Conference.

[171]  G. Golub.  Matrix computations , 1983 .

[172]  P. Lions,et al.  Viscosity solutions of Hamilton-Jacobi equations , 1983 .

[173]  R. Brockett.  Control Theory and Singular Riemannian Geometry , 1982 .

[174]  T. Başar,et al.  Dynamic Noncooperative Game Theory , 1982 .

[175]  Kenneth Steiglitz,et al.  Combinatorial Optimization: Algorithms and Complexity , 1981 .

[176]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

[177]  John H. Reif,et al.  Complexity of the mover's problem and generalizations , 1979, 20th Annual Symposium on Foundations of Computer Science (sfcs 1979).

[178]  K. Atkinson.  An introduction to numerical analysis , 1979 .

[179]  H. Sussmann.  A Sufficient Condition for Local Controllability , 1978 .

[180]  A. Nijenhuis.  Combinatorial algorithms , 1975 .

[181]  W. Boothby.  An introduction to differentiable manifolds and Riemannian geometry , 1975 .

[182]  V. Arnold.  Mathematical Methods of Classical Mechanics , 1974 .

[183]  E. Polak.  Introduction to linear and nonlinear programming , 1973 .

[184]  Huibert Kwakernaak,et al.  Linear Optimal Control Systems , 1972 .

[185]  A. Merz.  The game of two identical cars , 1972 .

[186]  Hans Sagan,et al.  Introduction to the Calculus of Variations. , 1969 .

[187]  Arthur E. Bryson,et al.  Applied Optimal Control , 1969 .

[188]  Ralph Abraham,et al.  Foundations Of Mechanics , 2019 .

[189]  C. Wall,et al.  Lie Algebras And Lie Groups , 1967, The Mathematical Gazette.

[190]  H. Halkin.  6 Mathematical Foundations of System Optimization , 1967 .

[191]  V. Boltyanskii.  Sufficient Conditions for Optimality and the Justification of the Dynamic Programming Method , 1966 .

[192]  R. Bellman.  Dynamic Programming , 1957, Science.

[193]  Rufus Isaacs,et al.  Differential Games , 1965 .

[194]  R. Bellman,et al.  Applied Dynamic Programming , 1965 .

[195]  A. T. Fuller,et al.  Relay control systems optimized for various performance criteria , 1960 .

[196]  L. Dubins.  On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents , 1957 .

[197]  H. Goldstein,et al.  Classical Mechanics , 1951, Mathematical Gazette.