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

Higher-order variational problems on lie groups and optimal control applications

(2014) Leonardo Colombo et al.   Journal of Geometric Mechanics

Higher-order discrete variational problems with constraints

(2013) Leonardo Colombo et al.   JOURNAL OF MATHEMATICAL PHYSICS

Inexact trajectory planning and inverse problems in the Hamilton-Pontryagin framework

(2013) C. L. Burnett et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Invariant Higher-Order Variational Problems II

(2012) François Gay-Balmaz et al.   JOURNAL OF NONLINEAR SCIENCE

Higher order Lagrange-Poincaré and Hamilton-Poincaré reductions

(2011) François Gay-Balmaz et al.   BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY

Invariant Higher-Order Variational Problems

(2011) François Gay-Balmaz et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Prolongation-collocation variational integrators

(2011) M. Leok et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

On variational integrators for optimal control of mechanical control systems

(2011) Leonardo Colombo et al.   Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas

Discrete mechanics and optimal control: An analysis

(2010) Sina Ober-Blöbaum et al.   ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS

Higher-order smoothing splines versus least squares problems on Riemannian manifolds

(2010) L. Machado et al.   JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS

Geometric structure-preserving optimal control of a rigid body

(2009) A. M. Bloch et al.   JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS

Error analysis of variational integrators of unconstrained Lagrangian systems

(2009) George W. Patrick et al.   NUMERISCHE MATHEMATIK

Optimal Attitude Control of a Rigid Body Using Geometrically Exact Computations on SO(3)

(2008) T. Lee et al.   JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS