Recent Advances in Optimization and Its Applications in Engineering

by Diehl, Moritz; Glineur, Francois; Jarlebring, Elias; Michiels, Wim

• ISBN13: 9783642125973
• ISBN10: 3642125972
• Edition: 1st
• Format: Hardcover
• Copyright: 2010-10-28
• Publisher: Springer Verlag

Summary

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

Convex Optimization
Copositive Programming - a Survey	p. 3
A Robust H∞ Quasi-LPV Approach for Designing Nonlinear Observers	p. 21
Solving Infinite-dimensional Optimization Problems by Polynomial Approximation	p. 31
Abstract Cones of Positive Polynomials and Their Sums of Squares Relaxations	p. 41
Asynchronous Gossip Algorithm for Stochastic Optimization: Constant Stepsize Analysis	p. 51
Nonlinear Optimization
On Hessian- and Jacobian-Free SQP Methods - a Total Quasi-Newton Scheme with Compact Storage	p. 63
Approximate Geometric Ellipsoid Fitting: A CG-Approach	p. 73
Continuous Reformulation of MINLP Problems	p. 83
Local Convergence of Sequential Convex Programming for Nonconvex Optimization	p. 93
Fixed-Order H-infinity Optimization of Time-Delay Systems	p. 103
Using Model Order Reduction for the Parameter Optimization of Large Scale Dynamical Systems	p. 113
Optimization on Manifolds
Optimization On Manifolds: Methods and Applications	p. 125
On the Best Low Multilinear Rank Approximation of Higher-order Tensors	p. 145
Refining Sparse Principal Components	p. 165
Optimal Data Fitting on Lie Groups: a Coset Approach	p. 173
Riemannian BFGS Algorithm with Applications	p. 183
Identification Method for Time-Varying ARX Models	p. 193
Optimal Control
On Some Riemannian Aspects of Two and Three-Body Controlled Problems	p. 205
Optimization techniques for the computation of the effective Hamiltonian	p. 225
Hybrid Solution Methods for Bilevel Optimal Control Problems with Time Dependent Coupling	p. 237
Consistent Control Procedures in the Monotone Structural Evolution. Part 1: Theory	p. 247
Consistent Control Procedures in the Monotone Structural Evolution. Part 2: Examples and Computational Aspects	p. 257
Minimizing Tumor Volume for a Mathematical Model of Anti-Angiogenesis with Linear Pharmacokinetics	p. 267
On Infinite Horizon Optimal Control of a Lotka-Voltera-System	p. 277
Model Predictive Control
Performance of NMPC Schemes without Stabilizing Terminal Constraints	p. 289
Nonlinear Model Predictive Control for an Artificial ß-cell	p. 299
An Optimized Linear Model Predictive Control Solver	p. 309
A Linear-Quadratic Model-Predictive Controller for Control and State Constrained Nonlinear Control Problems	p. 319
NMPC Suboptimality Estimates for Sampled-Data Continuous Systems	p. 329
Efficient Numerics for Nonlinear Model Predictive Control	p. 339
PDE-Constrained Optimization
Optimal Control of Periodic Adsorption Processes: The Newton-Picard Inexact SQP Method	p. 361
On the Optimization of Steady Bingham Flow in Pipes	p. 379
Semismooth Newton Methods for an Optimal Boundary Control Problem of Wave Equations	p. 389
A Space Mapping Approach for the p-Laplace Equation	p. 399
Numerical Solutions for Optimal Control of Monodomain Equations in Cardiac Electrophysiology	p. 409
Barrier Methods for a Control Problem from Hyperthermia Treatment Planning	p. 419
On a State-Constrained PDE Optimal Control Problem arising from ODE-PDE Optimal Control	p. 429
Engineering Applications of Optimization
Multi-Disciplinary Optimization of an Active Suspension System in the Vehicle Concept Design Stage	p. 441
Optimal Control of Machine Tool Manipulators	p. 451
Impact of the Material Distribution Formalism on the Efficiency of Evolutionary Methods for Topology Optimization	p. 461
A Variational Model for Image Texture Identification	p. 471
Optimization Study of a Parametric Vehicle Bumper Subsystem Under Multiple Load Cases	p. 481
Application of Learning Automata for Stochastic Online Scheduling	p. 491
Global Optimization with Expensive Functions - Sample Turbomachinery Design Application	p. 499
Adaptive Alternating Minimization for Fitting Magnetic Resonance Spectroscopic Imaging Signals	p. 511
Optimization of Partial Differential Equations for Minimizing the Roughness of Laser Cutting Surfaces	p. 521
Author Index	p. 531
Subject Index	p. 533
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