[1] A Agrachev and Y Sachkov. Control Theory from the Geometric Viewpoint. Springer-
Verlag, Berlin, 2004.
[2] J Armitage and W Eberlein. Elliptic Functions. Cambridge University Press, Cambridge,
2006.
[3] R Biggs and C Remsing. Control affine systems on solvable three-dimensional Lie groups,
II (submitted).
[4] R Biggs and C Remsing. A note on the affine subspaces of three-dimensional Lie algebras
(submitted).
[5] R Biggs and C Remsing. A category of control systems. To appear in An. ¸St. Univ. Ovidius
Constan¸ta, 20(1), 2012.
[6] R Biggs and C Remsing. On the equivalence of control systems on Lie groups. To appear
in Balkan J. Geometry Appl., 17(1), 2012.
[7] B Bonnard, V Jurdjevic, I Kupka, and G Sallet. Transitivity of families of invariant vector
fields on the semidirect product of Lie groups. Trans. Amer. Math. Soc., 271(2):525–535,
1982.
[8] R Brockett. System theory on group manifolds and coset spaces. SIAM J. Control,
10(2):265–284, 1972.
[9] D Holm, J Marsden, T Ratiu, and A Weinstein. Nonlinear stability of fluid and plasma
equilibrium. Phys. Rep., 123:1–116, 1985.
[10] V Jurdjevic. Non-Euclidean elastica. Amer. J. Math., 117(1):93–124, 1995.
[11] V Jurdjevic. Geometric Control Theory. Cambridge University Press, Cambridge, 1997.
[12] V Jurdjevic and H Sussmann. Control systems on Lie groups. J. Diff. Equations, 12:313–
329, 1972.
[13] P Krishnaprasad. Optimal control and Poisson reduction. Technical Research Report
T.R.93-87, Inst. Systems Research, Univ. of Maryland, 1993.
[14] D Lawden. Elliptic Functions and Applications. Springer-Verlag, New York, 1989.
[15] N Leonard. Stability of a bottom-heavy underwater vehicle. Automatica, 33(3):331–346,
1997.
[16] J Marsden and T Ratiu. Introduction to Mechanics and Symmetry. Springer-Verlag, New
York, second edition, 1999.
[17] J-P Ortega, V Planas-Bielsa, and T Ratiu. Asymptotic and Lyapunov stability of constrained
and Poisson equilibria. J. Diff. Equations, 214:92–127, 2005.
[18] J-P Ortega and T Ratiu. Non-linear stability of singular relative periodic orbits in Hamiltonian
systems with symmetry. J. Geom. Phys., 32:160–188, 1999.
[19] M Puta. Hamiltonian Mechanical Systems and Geometric Quantization. Kluwer, Dordrecht,
1993.
[20] M Puta. Optimal control problems on matrix Lie groups. Quad. Sem. Top. Alg. e Diff.,
Univ. di Roma “La Sapienza”, 1996.
[21] M Puta. Stability and control in spacecraft dynamics. J. Lie Theory, 7:269–278, 1997.
[22] M Puta, P Birtea, C L˘azureanu, C Pop, and R Tudoran. Control, integrability and stability
in some concrete mechanical problems on matrix Lie groups. Quad. Sem. Top. Alg. e
Diff., Univ. di Roma “La Sapienza”, 1998.
[23] M Puta, S Chirici, and A Voitecovici. An optimal control problem on the Lie group
SE(2,R). Publ. Math. Debrecen, 60:15–22, 2002.
[24] M Puta, G Schwab, and A Voitecovici. Some remarks on an optimal control problem on
the Lie group SE(2,R). An. ¸St. Univ. “A.I. Cuza” Ia¸si, ser. Mat., 49(2):249–256, 2003.
[25] C Remsing. Control and integrability on SO(3). In Lect. Notes Eng. Comp. Sci., pages
1705–1710, London, U.K., 2010.
[26] C Remsing. Integrability and optimal control. In 19th Int. Symp. Math. Theory of Networks
& Syst., pages 1749–1754, Budapest, Hungary, 2010.
[27] C Remsing. Optimal control and Hamilton-Poisson formalism. Int. J. Pure Appl. Math.,
59(1):11–17, 2010.
[28] C Remsing. Control and stability on the Euclidean group SE(2). In Lect. Notes Eng.
Comp. Sci., pages 225–230, London, U.K., 2011.
[29] Y Sachkov. Maxwell strata in the Euler elastic problem. J. Dynam. Control Syst.,
14(2):169–234, 2008.
[30] Y Sachkov. Control theory on Lie groups. J. Math. Sci., 156(3):381–439, 2009.
[31] G Walsh, R Montgomery, and S Sastry. Optimal path planning on matrix Lie groups. In
33rd Conf. Decision & Control, pages 1258–1263, Lake Buena Vista, FL, U.S.A., 1994.
Thank you for copying data from http://www.arastirmax.com