Discrete Optimal Control

[1]  J. Marsden,et al.  Discrete Euler-Poincaré and Lie-Poisson equations , 1999, math/9909099.

[2]  Fernando Jiménez,et al.  Discrete Variational Optimal Control , 2012, J. Nonlinear Sci..

[3]  J. Marsden,et al.  Discrete mechanics and variational integrators , 2001, Acta Numerica.

[4]  Jerrold E. Marsden,et al.  Hamilton-Pontryagin Integrators on Lie Groups: Introduction and Structure-Preserving Properties , 2008 .

[5]  Fernando Jiménez,et al.  A geometric approach to discrete mechanics for optimal control theory , 2010, 49th IEEE Conference on Decision and Control (CDC).

[6]  J. Marsden,et al.  DISCRETE MECHANICS AND OPTIMAL CONTROL: AN ANALYSIS ∗ , 2008, 0810.1386.

[7]  Jerrold E. Marsden,et al.  Discrete Geometric Optimal Control on Lie Groups , 2011, IEEE Transactions on Robotics.

[8]  C. L. Hwang,et al.  A Discrete Version of Pontryagin's Maximum Principle , 1967, Oper. Res..

[9]  David Martín de Diego,et al.  Discrete variational integrators and optimal control theory , 2007, Adv. Comput. Math..

[10]  B. W. Jordan,et al.  Theory of a Class of Discrete Optimal Control Systems , 1964 .

[11]  O. Junge,et al.  Optimal Reconfiguration of Formation Flying Satellites , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[12]  W. Hager Numerical Analysis in Optimal Control , 2001 .

[13]  H. Bock,et al.  A Multiple Shooting Algorithm for Direct Solution of Optimal Control Problems , 1984 .

[14]  Jerrold E. Marsden,et al.  Mechanical systems with symmetry, variational principles, and integration algorithms , 1997 .

[15]  Marin Kobilarov Discrete geometric motion control of autonomous vehicles , 2008 .

[16]  Sina Ober-Blöbaum,et al.  Optimal Reconfiguration of Formation Flying Spacecraft ---a Decentralized Approach , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[17]  James A. Cadzow,et al.  Discrete calculus of variations , 1970 .

[18]  J. Frédéric Bonnans,et al.  Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control , 2006, Numerische Mathematik.

[19]  J. Marsden,et al.  Discrete Mechanics and Optimal Control for Constrained Multibody Dynamics , 2007 .

[20]  D. Mart'in de Diego,et al.  Discrete Lagrangian and Hamiltonian mechanics on Lie groupoids , 2005 .

[21]  Peter E. Crouch,et al.  Continuous and discrete embedded optimal control problems and their application to the analysis of clebsch optimal control problems and mechanical systems , 2013 .

[22]  Jerrold E. Marsden,et al.  Hamilton–Pontryagin Integrators on Lie Groups Part I: Introduction and Structure-Preserving Properties , 2008, Found. Comput. Math..

[23]  R. Pytlak Numerical Methods for Optimal Control Problems with State Constraints , 1999 .

[24]  J. Marsden,et al.  Discrete mechanics and optimal control , 2005 .

[25]  Jerrold E. Marsden,et al.  Symmetry reduction of discrete Lagrangian mechanics on Lie groups , 2000 .

[26]  I.I. Hussein,et al.  A Discrete Variational Integrator for Optimal Control Problems on SO(3) , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[27]  E. Hairer,et al.  Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations , 2004 .

[28]  Anthony M. Bloch,et al.  Geometric structure-preserving optimal control of a rigid body , 2007, 0712.4400.

[29]  J. Marsden,et al.  Mechanical integrators derived from a discrete variational principle , 1997 .