Entropy and complexity of a path in sub-Riemannian geometry
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[1] Jean-Paul Laumond,et al. Guidelines in nonholonomic motion planning for mobile robots , 1998 .
[2] L. Goddard. Approximation of Functions , 1965, Nature.
[3] J. Hatzenbuhler,et al. DIMENSION THEORY , 1997 .
[4] Géométrie sous-riemannienne , 1996 .
[5] J. Schwartz,et al. On the “piano movers” problem. II. General techniques for computing topological properties of real algebraic manifolds , 1983 .
[6] Henry Hermes,et al. Nilpotent and High-Order Approximations of Vector Field Systems , 1991, SIAM Rev..
[7] Frédéric Jean,et al. Geometry of nonholonomic systems , 1998 .
[8] F. Jean. Complexity of nonholonomic motion planning , 2001 .
[9] A. Kolmogorov,et al. Entropy and "-capacity of sets in func-tional spaces , 1961 .
[10] F. Jean. Paths in sub-Riemannian geometry , 2001 .
[11] E. Stein,et al. Hypoelliptic differential operators and nilpotent groups , 1976 .
[12] Jean-Paul Laumond,et al. Singularities and Topological Aspects in Nonholonomic Motion Planning , 1993 .
[13] Andrew Donald Booth,et al. Theory of the transmission and processing of information , 1961 .
[14] J. Laumond. Controllability of a multibody mobile robot , 1991 .
[15] H. Sussmann. An extension of a theorem of Nagano on transitive Lie algebras , 1974 .
[16] G. Lorentz. Metric entropy and approximation , 1966 .
[17] Frédéric Jean,et al. Uniform Estimation of Sub-Riemannian Balls , 2001 .
[18] F. Jean. The car with N Trailers : characterization of the singular configurations , 1996 .
[19] T. Nagano. Linear differential systems with singularities and an application to transitive Lie algebras , 1966 .
[20] J. Mitchell. On Carnot-Carathéodory metrics , 1985 .
[21] Wei-Liang Chow. Über Systeme von liearren partiellen Differentialgleichungen erster Ordnung , 1940 .
[22] A. Bellaïche. The tangent space in sub-riemannian geometry , 1994 .
[23] M. Gromov. Carnot-Carathéodory spaces seen from within , 1996 .
[24] J. Laumond,et al. NILPOTENT INFINITESIMAL APPROXIMATIONS TO A CONTROL LIE ALGEBRA , 1992 .
[25] John Canny,et al. The complexity of robot motion planning , 1988 .