[1] N. Abazari and I. Sager. Planning rigid body motions and optimal control problem on
Lie group SO(2,1). Engineering and Technology, 64:448–452, 2010.
[2] J.D. Biggs and W. Holderbaum. The Geometry of Optimal Control Solutions on some
Six Dimensional Lie Groups. Proceedings of the 44th IEEE Conference on Decision and
Control, (2):1427–1432, 2005.
[3] J.D. Biggs and N. Horri. Optimal geometric motion planning for spin-stabilized spacecraft. System and Control Letters, 2012.
[4] A.M. Bloch. Nonholonomic Mechanics and Control: With the Collaboration of J.Baillieul,
P.Crouch and J.Marsden (Interdisciplinary Applied Mathematics). Springer, 2003.
[5] F. Bullo and A.D. Lewis. Geometric Control of Mechanical Systems: Modeling, Analysis, and
Design for Simple Mechanical Control Systems (Texts in Applied Mathematics). Springer,
2005.
[6] M. Craioveanu, C. Pop, A. Aron, and C. Petri. An optimal control problem on the special Euclidean group SE ( 3 , R ). In International Conference "Differential GeometryDynamical Systems 2009", pages 68–78, 2009.
[7] D. D’Alessandro. Algorithms for quantum control based on decompositions of Lie
groups. Proceedings of the 39th IEEE Conference on Decision and Control (Cat.
No.00CH37187), pages 967–968, 2000.
[8] B. Hall. Lie Groups, Lie Algebras, and Representations: An Elementary Introduction (Graduate Texts in Mathematics). Springer, 2004.
[9] D.D. Holm. Geometric Mechanics, Part I: Dynamics and Symmetry. Imperial College Press,
2008.
[10] V. Jurdjevic. Geometric Control Theory (Cambridge Studies in Advanced Mathematics).
Cambridge University Press, 1997.
[11] V. Jurdjevic. Integrable Hamiltonian Systems on Complex Lie Groups. Memoirs of the
American Mathematical Society, 178(838), 2005.
[12] E.W. Justh and P.S. Krishnaprasad. Optimal natural frames. Communications in Information and Systems, 11(1):17–34, 2011.
[13] P.D. Lax. Integrals of Nonlinear Equations of Evolution and Solitary. Technical Report
January, Courant Institute of Mathematical Sciences, 1968.
[14] N. E. Leonard and P.S. Krishnaprasad. High Order Averaging onLie Groups and Control
of an Autononmous Underwater Vehicle. Proceedings of the American Control Conference,
June(1):2–7, 1994.
[15] J.E. Marsden, S.T. Ratiu, F. Scheck, and M.E. Mayer. Introduction to Mechanics and
Symmetry and Mechanics: From Newton’s Laws to Deterministic Chaos. American Institute
of Physics, 1998.
[16] C.C. Remsing. Control and Integrability on SO ( 3 ). In World Congress on Engineering,
volume III, 2010.
[17] A.G. Reyman and M.A. Semenov-Tian-Shansky. Reduction of Hamiltonian systems,
affine Lie algebras and Lax equations. Inventiones Mathematicae, 54(1):81–100, February 1979.
[18] A.G. Reyman and M.A. Semenov-Tian-Shansky. Integrable Systems II: Group-Theoretical
Methods in the Theory of Finite-Dimensional Integrable Systems. In Dynamical systems.
VII, Encyclopaedia of Mathematical Sciences, vol. 16, volume 1, page 341. Springer, 1994.
[19] O.K. Sheinman. Lax equations and knizhnik-zamolodchikov connection.
aiXiv.1009.4706v2, pages 1–21, 2011.