B. Chen et Hp. Zhu, GLOBAL PROPERTIES OF LINEAR CONSTRAINTS IN STATE-SPACE AND MOTION PLANNING, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 40(7), 1997, pp. 745-754
Study of nonholonomic motion planning needs further research into the
global properties of linear constraints in state space. The global pro
perties of constraints, which contain the holonomicity and the nonholo
nomicity by regions, the existence of the isolated integral manifolds
and the singular points and so on, have essential influence on motion
planning. By analysis of the point sets in total space, the complete s
ketch of the global properties of linear constraints in state space is
obtained, which can directly be applied to motion planning.