10 citations · 10 across the 2 of their papers we have counts for
2 papers
math.OC2005
Optimal Control of Underactuated Nonholonomic Mechanical Systems
Islam I. Hussein, Anthony M. Bloch
In this paper we use an affine connection formulation to study an optimal control problem for a class of nonholonomic, under-actuated mechanical systems. In particular, we aim at m…
math.DS2004★ 10 cited
Discrete variational principles and Hamilton-Jacobi theory for mechanical systems and optimal control problems
Vincent M. Guibout, Anthony M. Bloch
In this paper we present a general framework that allows one to study discretization of certain dynamical systems. This generalizes earlier work on discretization of Lagrangian and…