Publications related to Optimal control of geodesics in Riemannian manifolds

Decomposition Strategies for Nonconvex Problems, a Parametric Approach

This thesis deals with the development of numerical methods for solving nonconvex optimisation problems by means of decomposition and continuation techniques. We first introduce a novel decomposition algorithm based on alternating gradient projections and ...

EPFL2016

Error estimates for finite element approximations of nonlinear monotone elliptic problems with application to numerical homogenization

Assyr Abdulle, Martin Ernst Huber

We consider a finite element method (FEM) with arbitrary polynomial degree for nonlinear monotone elliptic problems. Using a linear elliptic projection, we first give a new short proof of the optimal convergence rate of the FEM in the L2 norm. We then deri ...

Wiley-Blackwell2016

MATHICSE Technical Report : A novel iterative method to approximate structured singular values

Daniel Kressner

A novel method for approximating structured singular values (also known as

\mu

- values) is proposed and investigated. These quantities constitute an important tool in the stability analysis of uncertain linear control systems as well as in structured eig ...

MATHICSE2016

Constrained LQR Using Online Decomposition Techniques

Colin Neil Jones, Georgios Stathopoulos

This paper presents an algorithm to solve the infinite horizon constrained linear quadratic regulator (CLQR) problem using operator splitting methods. First, the CLQR problem is reformulated as a (finite-time) model predictive control (MPC) problem without ...

2016

Multimodal Haptic Device, System, and Method of Using the Same

Simon Gallo, Giulio Rognini, Tobias Lukas Rolf Bützer

A multimodal haptic device operating as a closed-loop system, the device including a pipeline configured to allow a closed-loop flow of a fluid medium, a manifold operatively connected to the pipeline, the manifold having a pump and a valve to control and ...

2016

Codimension one stability of the catenoid under the vanishing mean curvature flow in Minkowski space

Joachim Krieger, Roland Donninger, Willie Wai Yeung Wong

We study time-like hypersurfaces with vanishing mean curvature in the (3+1) dimensional Minkowski space, which are the hyperbolic counterparts to minimal embeddings of Riemannian manifolds. The catenoid is a stationary solution of the associated Cauchy pro ...

Duke Univ Press2015

Hybrid guiding-centre/full-orbit simulations in non-axisymmetric magnetic geometry exploiting general criterion for guiding-centre accuracy

Jonathan Graves, Wilfred Anthony Cooper, David Pfefferlé

To identify under what conditions guiding-centre or full-orbit tracing should be used, an estimation of the spatial variation of the magnetic field is proposed, not only taking into account gradient and curvature terms but also parallel currents and the lo ...

Iop Publishing Ltd2015

Convergence Results For Projected Line-Search Methods On Varieties Of Low-Rank Matrices Via Lojasiewicz Inequality

André Uschmajew

The aim of this paper is to derive convergence results for projected line-search methods on the real-algebraic variety M-

Siam Publications2015

Splitting the Smoothed Primal-Dual Gap: Optimal Alternating Direction Methods

Volkan Cevher, Quoc Tran Dinh

We develop rigorous alternating direction optimization methods for a prototype constrained convex optimization template, which has broad applications in computational sciences. We build upon our earlier work on the model-based gap reduction (MGR) technique ...

Tech. Report. LIONS-EPFL (2015)2015

A priori error estimates for discontinuous finite volume discretizations of the Brinkman optimal control problem

Ricardo Esteban Ruiz Baier

In this paper we discuss a discontinuous finite volume method for the approximation of distributed optimal control problem governed by the Brinkman equations written in terms of velocity and pressure. An additional force field is sought such that it produc ...

2015

Optimal control of geodesics in Riemannian manifolds

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Decomposition Strategies for Nonconvex Problems, a Parametric Approach

Error estimates for finite element approximations of nonlinear monotone elliptic problems with application to numerical homogenization

MATHICSE Technical Report : A novel iterative method to approximate structured singular values

Constrained LQR Using Online Decomposition Techniques

Multimodal Haptic Device, System, and Method of Using the Same

Codimension one stability of the catenoid under the vanishing mean curvature flow in Minkowski space

Hybrid guiding-centre/full-orbit simulations in non-axisymmetric magnetic geometry exploiting general criterion for guiding-centre accuracy

Convergence Results For Projected Line-Search Methods On Varieties Of Low-Rank Matrices Via Lojasiewicz Inequality

Splitting the Smoothed Primal-Dual Gap: Optimal Alternating Direction Methods

A priori error estimates for discontinuous finite volume discretizations of the Brinkman optimal control problem

Multimodal Haptic Device, System, and Method of Using the Same

Splitting the Smoothed Primal-Dual Gap: Optimal Alternating Direction Methods

Error estimates for finite element approximations of nonlinear monotone elliptic problems with application to numerical homogenization

Decomposition Strategies for Nonconvex Problems, a Parametric Approach

MATHICSE Technical Report : A novel iterative method to approximate structured singular values

Constrained LQR Using Online Decomposition Techniques

Codimension one stability of the catenoid under the vanishing mean curvature flow in Minkowski space

Hybrid guiding-centre/full-orbit simulations in non-axisymmetric magnetic geometry exploiting general criterion for guiding-centre accuracy

Convergence Results For Projected Line-Search Methods On Varieties Of Low-Rank Matrices Via Lojasiewicz Inequality

A priori error estimates for discontinuous finite volume discretizations of the Brinkman optimal control problem