Geometry of nonholonomic systems
暂无分享,去创建一个
[1] Wei-Liang Chow. Über Systeme von liearren partiellen Differentialgleichungen erster Ordnung , 1940 .
[2] T. Nagano. Linear differential systems with singularities and an application to transitive Lie algebras , 1966 .
[3] E B Lee,et al. Foundations of optimal control theory , 1967 .
[4] C. Godbillon. Géométrie différentielle et mécanique analytique , 1969 .
[5] A. Seidenberg. On the length of a Hilbert ascending chain , 1971 .
[6] H. Sussmann. Orbits of families of vector fields and integrability of distributions , 1973 .
[7] H. Sussmann. An extension of a theorem of Nagano on transitive Lie algebras , 1974 .
[8] P. Stefan. Accessible Sets, Orbits, and Foliations with Singularities , 1974 .
[9] R. Goodman. Nilpotent Lie Groups , 1976 .
[10] R. Gamkrelidze,et al. THE EXPONENTIAL REPRESENTATION OF FLOWS AND THE CHRONOLOGICAL CALCULUS , 1979 .
[11] R. Brockett. Control Theory and Singular Riemannian Geometry , 1982 .
[12] J. Schwartz,et al. On the “piano movers” problem. II. General techniques for computing topological properties of real algebraic manifolds , 1983 .
[13] E. Stein,et al. Balls and metrics defined by vector fields I: Basic properties , 1985 .
[14] John Canny,et al. The complexity of robot motion planning , 1988 .
[15] Dima Grigoriev,et al. Solving Systems of Polynomial Inequalities in Subexponential Time , 1988, J. Symb. Comput..
[16] Eduardo Sontag. Some complexity questions regarding controllability , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.
[17] Dima Grigoriev,et al. Complexity of Deciding Tarski Algebra , 1988, J. Symb. Comput..
[18] D. Grigor'ev. Complexity of deciding Tarski algebra , 1988 .
[19] Y. Nesterenko. New Advances in Transcendence Theory: Estimates for the number of zeros of certain functions , 1988 .
[20] Joos Heintz,et al. Sur la complexité du principe de Tarski-Seidenberg , 1989 .
[21] Henry Hermes,et al. Nilpotent and High-Order Approximations of Vector Field Systems , 1991, SIAM Rev..
[22] J. Laumond. Controllability of a multibody mobile robot , 1991 .
[23] M. Fliess,et al. On Differentially Flat Nonlinear Systems , 1992 .
[24] J. Laumond,et al. NILPOTENT INFINITESIMAL APPROXIMATIONS TO A CONTROL LIE ALGEBRA , 1992 .
[25] Ole Jakob Sørdalen,et al. Conversion of the kinematics of a car with n trailers into a chained form , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.
[26] Jean-Paul Laumond,et al. Singularities and Topological Aspects in Nonholonomic Motion Planning , 1993 .
[27] S. Sastry,et al. Nonholonomic motion planning: steering using sinusoids , 1993, IEEE Trans. Autom. Control..
[28] J. Risler,et al. The maximum of the degree of nonholonomy for the car with n trailers , 1994 .
[29] A. Bellaïche. The tangent space in sub-riemannian geometry , 1994 .
[30] O. J. Sørdalen. On the global degree of nonholonomy of a car with N trailers , 1994 .
[31] A. Gabrielov,et al. ORDRE DE CONTACT DE COURBES INTEGRALES DU PLAN , 1994 .
[32] Richard M. Murray,et al. A motion planner for nonholonomic mobile robots , 1994, IEEE Trans. Robotics Autom..
[33] A. Gabrielov. Multiplicities of zeroes of polynomials on trajectories of polynomial vector fields and bounds on degree of nonholonomy , 1995 .
[34] F. Jean. The car with N Trailers : characterization of the singular configurations , 1996 .
[35] Jean-Jacques Risler. A Bound for the Degree of Nonholonomy in the Plane , 1996, Theor. Comput. Sci..
[36] M. Gromov. Carnot-Carathéodory spaces seen from within , 1996 .
[37] Jean-Jacques Risler,et al. Nonholonomic Systems: Controllability and Complexity , 1996, Theor. Comput. Sci..
[38] A. Gabrielov. Multiplicity of a zero of an analytic function on a trajectory of a vector field , 1997, math/9702229.
[39] F. Jean,et al. Multiplicity of polynomials on trajectories of polynomial vector fields in $C^3$ , 1998 .