The main objective of this paper is to describe a class of polynomial vector fields f, whose associated dynamic system has one or more affine varieties as f-invariant and attractive sets. This result can be used for robot motion planning, thus computing robot paths, avoiding collisions with obstacles and reaching a target point.
On f-invariant and attractive affine varieties for continuous-time polynomial systems: The case of robot motion planning
Possieri Corrado;
2014
Abstract
The main objective of this paper is to describe a class of polynomial vector fields f, whose associated dynamic system has one or more affine varieties as f-invariant and attractive sets. This result can be used for robot motion planning, thus computing robot paths, avoiding collisions with obstacles and reaching a target point.File in questo prodotto:
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