Fetching the paper…
Reading the bibliography…
Trajectory optimization offers mature tools for motion planning in high-dimensional spaces under dynamic constraints.
An algorithm for planning collision-free paths among polyhedral obstacles
Tomás Lozano-Pérez and Michael A Wesley · 1979
Earlier work this paper cites.
Probabilistic roadmaps for path planning in high-dimensional configuration spaces
Lydia E Kavraki, Petr Svestka, J-C Latombe, and Mark H Overmars · 1996
Earlier work this paper cites.
Rapidly-exploring random trees: A new tool for path planning
Steven M LaValle et al · 1998
Earlier work this paper cites.
Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization
Pablo A Parrilo · 2000
Earlier work this paper cites.
Mixed integer programming for multi-vehicle path planning
Tom Schouwenaars, Bart De Moor, Eric Feron, and Jonathan How · 2001
Earlier work this paper cites.
Aircraft trajectory planning with collision avoidance using mixed integer linear programming
Arthur Richards and Jonathan P How · 2002
Earlier work this paper cites.
Combinatorial optimization: polyhedra and efficiency
Alexander Schrijver et al · 2003
Earlier work this paper cites.
A PRM-based motion planner for dynamically changing environments
Léonard Jaillet and Thierry Siméon · 2004
Earlier work this paper cites.
Fast direct multiple shooting algorithms for optimal robot control
Moritz Diehl, Hans Georg Bock, Holger Diedam, and P-B Wieber · 2006
Earlier work this paper cites.
Planning algorithms
Steven M LaValle · 2006
Earlier work this paper cites.
Anytime path planning and replanning in dynamic environments
Jur Van Den Berg, Dave Ferguson, and James Kuffner · 2006
Earlier work this paper cites.
Real-time trajectory generation for constrained nonlinear dynamical systems using non-uniform rational b-spline basis functions
Melvin E Flores · 2008
Earlier work this paper cites.
Kinodynamic motion planning for mobile robots using splines
Boris Lau, Christoph Sprunk, and Wolfram Burgard · 2009
Earlier work this paper cites.
Dualize it: software for automatic primal and dual conversions of conic programs
Johan Löfberg · 2009
Earlier work this paper cites.
Time-optimal path tracking for robots: A convex optimization approach
Diederik Verscheure, Bram Demeulenaere, Jan Swevers, Joris De Schutter, and Moritz Diehl · 2009
Cited alongside, same era.
Abstractions and controllers for groups of robots in environments with obstacles
Nora Ayanian and Vijay Kumar · 2010
Cited alongside, same era.
Sampling-based algorithms for optimal motion planning
Sertac Karaman and Emilio Frazzoli · 2011
Cited alongside, same era.
Minimum snap trajectory generation and control for quadrotors
Daniel Mellinger and Vijay Kumar · 2011
Cited alongside, same era.
Generation of collision-free trajectories for a quadrocopter fleet: A sequential convex programming approach
Federico Augugliaro, Angela P Schoellig, and Raffaello D’Andrea · 2012
Cited alongside, same era.
Mixed-integer quadratic program trajectory generation for heterogeneous quadrotor teams
Efficient mixed-integer planning for UAVs in cluttered environments
Robin Deits and Russ Tedrake · 2015
Later among the works it cites.
Algorithms for collision-free navigation of mobile robots in complex cluttered environments: a survey
Michael Hoy, Alexey S Matveev, and Andrey V Savkin · 2015
Later among the works it cites.
Fast marching tree: A fast marching sampling-based method for optimal motion planning in many dimensions
Lucas Janson, Edward Schmerling, Ashley Clark, and Marco Pavone · 2015
Later among the works it cites.
Funnel libraries for real-time robust feedback motion planning
Anirudha Majumdar and Russ Tedrake · 2017
Later among the works it cites.
Drake: Model-based design and verification for robotics, 2019
Russ Tedrake and the Drake Development Team · 2019
Later among the works it cites.
Balance control and locomotion planning for humanoid robots using nonlinear centroidal models
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Daniel Mellinger, Alex Kushleyev, and Vijay Kumar · 2012
Cited alongside, same era.
Optimal sampling-based planning for linear-quadratic kinodynamic systems
Gustavo Goretkin, Alejandro Perez, Robert Platt, and George Konidaris · 2013
Cited alongside, same era.
Convex analysis and minimization algorithms I: Fundamentals
Jean-Baptiste Hiriart-Urruty and Claude Lemaréchal · 2013
Cited alongside, same era.
Kinodynamic RRT*: Asymptotically optimal motion planning for robots with linear dynamics
Dustin J Webb and Jur Van Den Berg · 2013
Cited alongside, same era.
Sampling-based robot motion planning: A review
Mohamed Elbanhawi and Milan Simic · 2014
Cited alongside, same era.
Informed RRT*: Optimal sampling-based path planning focused via direct sampling of an admissible ellipsoidal heuristic
Jonathan D Gammell, Siddhartha S Srinivasa, and Timothy D Barfoot · 2014
Cited alongside, same era.
Motion planning with sequential convex optimization and convex collision checking
John Schulman, Yan Duan, Jonathan Ho, Alex Lee, Ibrahim Awwal, Henry Bradlow, Jia Pan, Sachin Patil, Ken Goldberg, and Pieter Abbeel · 2014
Cited alongside, same era.
Frans Anton Koolen · 2020
Later among the works it cites.
R3T: Rapidly-exploring random reachable set tree for optimal kinodynamic planning of nonlinear hybrid systems
Albert Wu, Sadra Sadraddini, and Russ Tedrake · 2020
Later among the works it cites.
Optimization-based collision avoidance
Xiaojing Zhang, Alexander Liniger, and Francesco Borrelli · 2020
Later among the works it cites.
Piecewise-linear motion planning amidst static, moving, or morphing obstacles
Bachir El Khadir, Jean Bernard Lasserre, and Vikas Sindhwani · 2021
Later among the works it cites.
Shortest paths in graphs of convex sets
Tobia Marcucci, Jack Umenberger, Pablo A Parrilo, and Russ Tedrake · 2021
Later among the works it cites.
Interleaving graph search and trajectory optimization for aggressive quadrotor flight
Ramkumar Natarajan, Howie Choset, and Maxim Likhachev · 2021
Later among the works it cites.
Finding and optimizing certified, collision-free regions in configuration space for robot manipulators
Alexandre Amice, Hongkai Dai, Peter Werner, Annan Zhang, and Russ Tedrake · 2022
Closest in time.
Noel Csomay-Shanklin, Andrew J Taylor, Ugo Rosolia, and Aaron D Ames · 2022
Closest in time.