[1]
|
J. Cortes, “Geometric, Control and Numerical Aspects of Nonholonomic Systems,” Springer-Verlag, Berlin, Heidelberg, 2002. doi:10.1007/b84020
|
[2]
|
A. M. Bloch, “Nonholonomic Mechanics and Control,” Springer-Verlag, New York, 2003. doi:10.1007/b97376
|
[3]
|
F. Bullo and A. D. Rewis, “Geometric Control of Mechanical Systems,” Springer-Verlag, New York, 2004.
|
[4]
|
R. Montgomery, “A Tour of Subriemannian Geometries, Their Geodesics and Applications,” American Mathematical Society, 2002.
|
[5]
|
O. Calin and D. C. Change, “Sub-Riemannian Geometry: General Theory and Examples,” Cambridge University Press, Cambridge, 2009.
doi:10.1017/CBO9781139195966
|
[6]
|
T. Kai and H. Kimura, “Theoretical Analysis of Affine Constraints on a Configuration Manifold—Part I: Integrability and Nonintegrability Conditions for Affine Constraints and Foliation Structures of a Configuration Manifold,” Transactions of the Society of Instrument and Control Engineers, Vol. 42, No. 3, 2006, pp. 212-221.
|
[7]
|
T. Kai, “Integrating Algorithms for Integrable Affine Constraints,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E94-A, No. 1, 2011, pp. 464-467.
|
[8]
|
T. Kai, “Mathematical Modelling and Theoretical Analysis of Nonholonomic Kinematic Systems with a Class of Rheonomous Affine Constraints,” Applied Mathematical Modelling, Vol. 36, No. 7, 2012, pp. 3189-3200.
doi:10.1016/j.apm.2011.10.015
|
[9]
|
T. Kai, “Theoretical Analysis for a Class of Rheonomous Affine Constraints on Configuration Manifolds—Part I: Fundamental Properties and Integrability/Nonintegrability Conditions,” Mathematical Problems in Engineering, Vol. 2012, 2012, Article ID: 543098.
doi:10.1155/2012/543098
|
[10]
|
T. Kai, “Theoretical Analysis for a Class of Rheonomous Affine Constraints on Configuration Manifolds—Part II: Foliation Structures and Integrating Algorithms,” Mathematical Problems in Engineering, Vol. 2012, 2012, Article ID: 345942. doi:10.1155/2012/345942
|
[11]
|
S. Nomizu and K. Kobayashi, “Foundations of Differential Geometry Volume I,” John Wiley & Sons Inc., New York, 1996.
|
[12]
|
S. Nomizu and K. Kobayashi, “Foundations of Differential Geometry Volume II,” John Wiley & Sons Inc., New York, 1996.
|
[13]
|
A. Isidori, “Nonlinear Control Systems,” 3rd Edition, Springer-Verlag, London, 1995.
doi:10.1007/978-1-84628-615-5
|
[14]
|
S. S. Sastry, “Nonlinear Systems,” Springer-Verlag, New York, 1999. doi:10.1007/978-1-4757-3108-8
|