TY - JOUR
T1 - The Domain of Attraction of the Desired Path in Vector-Field-Guided Path Following
AU - Yao, Weijia
AU - Lin, Bohuan
AU - Anderson, Brian D.O.
AU - Cao, Ming
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023/11/1
Y1 - 2023/11/1
N2 - —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 1-D geometric desired path. The existence of singular points where the vector field vanishes creates a topological obstruction to global convergence to the desired path and some associated topological analysis has been conducted in our previous work.
AB - —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 1-D geometric desired path. The existence of singular points where the vector field vanishes creates a topological obstruction to global convergence to the desired path and some associated topological analysis has been conducted in our previous work.
KW - Domain of attraction, nonlinear systems
UR - http://www.scopus.com/inward/record.url?scp=85147313058&partnerID=8YFLogxK
U2 - 10.1109/TAC.2023.3239431
DO - 10.1109/TAC.2023.3239431
M3 - Article
AN - SCOPUS:85147313058
SN - 0018-9286
VL - 68
SP - 6812
EP - 6819
JO - IEEE Transactions on Automatic Control
JF - IEEE Transactions on Automatic Control
IS - 11
ER -