52 citations · 62 across the 3 of their papers we have counts for
6 papers
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…
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…
Control of trapped-ion quantum states with optical pulses
C. Rangan, A. M. Bloch, C. Monroe +1
We present new results on the quantum control of systems with infinitely large Hilbert spaces. A control-theoretic analysis of the control of trapped ion quantum states via optical…
Gyroscopic Classical and Quantum Oscillators interacting with Heat Baths
Anthony M. Bloch, Patrick Hagerty, Alberto G. Rojo +1
We analyze the stability of a gyroscopic oscillator interacting with a finite- and infinite-dimensional heat bath in both the classical and quantum cases. We consider a finite gyro…
An Optimal Control Formulation for Inviscid Incompressible Ideal Fluid Flow
A. M. Bloch, P. E. Crouch, D. D. Holm +1
In this paper we consider the Hamiltonian formulation of the equations of incompressible ideal fluid flow from the point of view of optimal control theory. The equations are compar…
Control of Squeezed States
Anthony M. Bloch, Alberto G. Rojo
In this paper we consider the classical and quantum control of squeezed states of harmonic oscillators. This provides a method for reducing noise below the quantum limit and provid…