Recent Advances in Optimization and its Applications in Engineering: The 14th Belgian-French-German Conference on Optimization

✍ Scribed by Mirjam Dür (auth.), Moritz Diehl, Francois Glineur, Elias Jarlebring, Wim Michiels (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2010
• Tongue: English
• Leaves: 548
• Edition: 1
• Category: Library

✦ Synopsis

Mathematical optimization encompasses both a rich and rapidly evolving body of fundamental theory, and a variety of exciting applications in science and engineering. The present book contains a careful selection of articles on recent advances in optimization theory, numerical methods, and their applications in engineering. It features in particular new methods and applications in the fields of optimal control, PDE-constrained optimization, nonlinear optimization, and convex optimization. The authors of this volume took part in the 14th Belgian-French-German Conference on Optimization (BFG09) organized in Leuven, Belgium, on September 14-18, 2009. The volume contains a selection of reviewed articles contributed by the conference speakers as well as three survey articles by plenary speakers and two papers authored by the winners of the best talk and best poster prizes awarded at BFG09. Researchers and graduate students in applied mathematics, computer science, and many branches of engineering will find in this book an interesting and useful collection of recent ideas on the methods and applications of optimization.

✦ Table of Contents

Front Matter....Pages i-xi
Front Matter....Pages 1-1
Copositive Programming – a Survey....Pages 3-20
A Robust H ∞ Quasi-LPV Approach for Designing Nonlinear Observers....Pages 21-30
Solving Infinite-dimensional Optimization Problems by Polynomial Approximation....Pages 31-40
Abstract Cones of Positive Polynomials and Their Sums of Squares Relaxations....Pages 41-50
Asynchronous Gossip Algorithm for Stochastic Optimization: Constant Stepsize Analysis....Pages 51-60
Front Matter....Pages 61-61
On Hessian- and Jacobian-Free SQP Methods - a Total Quasi-Newton Scheme with Compact Storage....Pages 63-72
Approximate Geometric Ellipsoid Fitting: A CG-Approach....Pages 73-82
Continuous Reformulation of MINLP Problems....Pages 83-92
Local Convergence of Sequential Convex Programming for Nonconvex Optimization....Pages 93-102
Fixed-Order H-infinity Optimization of Time-Delay Systems....Pages 103-112
Using Model Order Reduction for the Parameter Optimization of Large Scale Dynamical Systems....Pages 113-122
Front Matter....Pages 123-123
Optimization On Manifolds: Methods and Applications....Pages 125-144
On the Best Low Multilinear Rank Approximation of Higher-order Tensors....Pages 145-164
Refining Sparse Principal Components....Pages 165-171
Optimal Data Fitting on Lie Groups: a Coset Approach....Pages 173-182
Riemannian BFGS Algorithm with Applications....Pages 183-192
Identification Method for Time-Varying ARX Models....Pages 193-202
Front Matter....Pages 203-203
On Some Riemannian Aspects of Two and Three-Body Controlled Problems*....Pages 205-224
Optimization techniques for the computation of the effective Hamiltonian....Pages 225-236
Hybrid Solution Methods for Bilevel Optimal Control Problems with Time Dependent Coupling....Pages 237-246
Front Matter....Pages 203-203
Consistent Control Procedures in the Monotone Structural Evolution. Part 1: Theory....Pages 247-256
Consistent Control Procedures in the Monotone Structural Evolution. Part 2: Examples and Computational Aspects....Pages 257-266
Minimizing Tumor Volume for a Mathematical Model of Anti-Angiogenesis with Linear Pharmacokinetics....Pages 267-276
On Infinite Horizon Optimal Control of a Lotka-Voltera-System....Pages 277-286
Front Matter....Pages 287-287
Performance of NMPC Schemes without Stabilizing Terminal Constraints....Pages 289-298
Nonlinear Model Predictive Control for an Artificial β -cell....Pages 299-308
An Optimized Linear Model Predictive Control Solver....Pages 309-318
A Linear-Quadratic Model-Predictive Controller for Control and State Constrained Nonlinear Control Problems....Pages 319-328
NMPC Suboptimality Estimates for Sampled–Data Continuous Systems....Pages 329-338
Efficient Numerics for Nonlinear Model Predictive Control....Pages 339-357
Front Matter....Pages 359-359
Optimal Control of Periodic Adsorption Processes: The Newton-Picard Inexact SQP Method....Pages 361-378
On the Optimization of Steady Bingham Flow in Pipes....Pages 379-388
Semismooth Newton Methods for an Optimal Boundary Control Problem of Wave Equations....Pages 389-398
A Space Mapping Approach for the p -Laplace Equation....Pages 399-408
Numerical Solutions for Optimal Control of Monodomain Equations in Cardiac Electrophysiology....Pages 409-418
Barrier Methods for a Control Problem from Hyperthermia Treatment Planning....Pages 419-428
On a State-Constrained PDE Optimal Control Problem arising from ODE-PDE Optimal Control....Pages 429-438
Front Matter....Pages 439-439
Multi-Disciplinary Optimization of an Active Suspension System in the Vehicle Concept Design Stage....Pages 441-450
Optimal Control of Machine Tool Manipulators....Pages 451-460
Impact of the Material Distribution Formalism on the Efficiency of Evolutionary Methods for Topology Optimization....Pages 461-470
Front Matter....Pages 439-439
A Variational Model for Image Texture Identification....Pages 471-480
Optimization Study of a Parametric Vehicle Bumper Subsystem Under Multiple Load Cases....Pages 481-490
Application of Learning Automata for Stochastic Online Scheduling....Pages 491-498
Global Optimization with Expensive Functions - Sample Turbomachinery Design Application....Pages 499-509
Adaptive Alternating Minimization for Fitting Magnetic Resonance Spectroscopic Imaging Signals....Pages 511-520
Optimization of Partial Differential Equations for Minimizing the Roughness of Laser Cutting Surfaces....Pages 521-530
Back Matter....Pages 531-535

✦ Subjects

Appl.Mathematics/Computational Methods of Engineering; Theoretical and Applied Mechanics; Optimization; Control