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Please use this identifier to cite or link to this item: http://hdl.handle.net/1813/6769
Title: On the Complexity of Kinodynamic Planning
Authors: Canny, John
Donald, Bruce Randall
Reif, John
Xavier, Patrick G.
Keywords: computer science
technical report
Issue Date: Aug-1988
Publisher: Cornell University
Citation: http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR88-929
Abstract: In robotics, kinodynamic planning attempts to solve a motion problem subject to simultaneous kinematic and dynamic constraints. We consider the following problem: given a robot system, find a minimal-time trajectory from a start position and velocity to a goal position and velocity, while avoiding obstacles and respecting dynamic constraints on velocity and acceleration. We consider the simplified case of a point mass under Newtonian mechanics, together with velocity and acceleration bounds. The point must be flown from a start to a goal, amidst polyhedral obstacles in 2D or 3D. While exact solutions to this problem are not known, we provide the first provably good approximation algorithm, and show that it runs in polynomial time.
URI: http://hdl.handle.net/1813/6769
Appears in Collections:Computer Science Technical Reports

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