Sphere Rolling on Sphere: Alternative Approach to Kinematics and Constructive Proof of Controllability

Author:

Leite F. Silva,Louro F.

Publisher

Springer International Publishing

Reference14 articles.

1. Bloch, A., Rojo, A.: Kinematics of the rolling sphere and quantum spin. Commun. Inform. Syst 10(4), 221–238 (2010)

2. Bor, G., Montgomery, R.: G 2 and the rolling distribution. L’Enseignement Mathématique. Revue Internationale. 2e Série 55(1–2), 157–196 (2009)

3. Golub, G.H., Van Loan, C.F.: Matrix Computations (3rd edn.). Johns Hopkins University Press, Baltimore (1996)

4. Hüper, K., Leite, F.S.: On the geometry of rolling and interpolation curves on S n , $$\mathop{\mathrm{SO}}\nolimits _{n}$$ and Grassmann manifolds. J. Dyn. Control Syst. 13(4), 467–502 (2007)

5. Hüper, K., Krakowski, K., Leite, F.S.: Rolling maps in a Riemannian framework. In: Cardoso, J., Hüper, K., Saraiva, P. (eds.) Textos de Matemática, vol. 43, pp. 15–30. Departamento de Matemática da Universidade de Coimbra, Coimbra (2011)

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