Geometric Integrators for Higher-Order Variational Systems and Their Application to Optimal Control-Reference-Cited by-同舟云学术

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Geometric Integrators for Higher-Order Variational Systems and Their Application to Optimal Control

Published:2016-07-01 Issue:6 Volume:26 Page:1615-1650
ISSN:0938-8974
Container-title:Journal of Nonlinear Science
language:en
Short-container-title:J Nonlinear Sci

Author:

Colombo Leonardo,Ferraro Sebastián,Martín de Diego David

Funder

Ministerio de Ciencia e Innovación

Secretaría de Estado de Investigación, Desarrollo e Innovación

Seventh Framework Programme

Consejo Nacional de Investigaciones Científicas y Técnicas

Agencia Nacional de Promoción Científica y Tecnológica

Universidad Nacional del Sur

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering,Modelling and Simulation

Link

http://link.springer.com/content/pdf/10.1007/s00332-016-9314-9.pdf

Reference32 articles.

1. Abraham, R., Marsden, J.E., Ratiu, T.: Manifolds, Tensor Analysis, and Applications, vol. 75 of Applied Mathematical Sciences, 2nd edn. Springer, New York (1988). doi: 10.1007/978-1-4612-1029-0

2. Agarwal, R.P.: Boundary Value Problems for Higher Order Differential Equations. World Scientific Publishing Co., Inc., Teaneck (1986). doi: 10.1142/0266

3. Benito, R., de León, M., Martín de Diego, D.: Higher-order discrete Lagrangian mechanics. Int. J. Geom. Methods Mod. Phys. 3, 421–436 (2006). doi: 10.1142/S0219887806001235

4. Bloch, A.M.: Nonholonomic Mechanics and Control, vol. 24 of Interdisciplinary Applied Mathematics. Springer, New York (2003). doi: 10.1007/b97376 . With the collaboration of J. Baillieul, P. Crouch and J. Marsden, With scientific input from P. S. Krishnaprasad, R. M. Murray and D. Zenkov, Systems and Control

5. Bloch, A.M., Hussein, I.I., Leok, M., Sanyal, A.K.: Geometric structure-preserving optimal control of a rigid body. J. Dyn. Control Syst. 15, 307–330 (2009). doi: 10.1007/s10883-009-9071-2

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