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