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The Domain of Attraction of the Desired Path in Vector-field Guided Path Following
In the vector-field guided path-following problem, a sufficiently smooth vector field is designed such that its integral curves converge to and move along a one-dimensional geometric desired path.
Guiding Vector Fields for Following Occluded Paths
Accurately following a geometric desired path in a two-dimensional space is a fundamental task for many engineering systems, in particular mobile robots.
Topological Analysis of Vector-Field Guided Path Following on Manifolds
Furthermore, we show that there always exist \emph{non-path-converging trajectories} (i. e., trajectories that do not converge to the desired path) starting from the boundary of a ball containing the desired path in an $n$-dimensional Euclidean space where $n \ge 3$.
