Optimization and Control with Applications

A.M. Bagirov, A.M. Rubinov (auth.), Liqun Qi, Koklay Teo, Xiaoqi Yang (eds.)0387242546, 9780387242545

This book contains refereed papers which were presented at the 34th Workshop of the International School of Mathematics “G. Stampacchia,” the International Workshop on Optimization and Control with Applications. The book contains 28 papers that are grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. The specific topics covered in the individual chapters include optimal control, unconstrained and constrained optimization, complementarity and variational inequalities, equilibrium problems, semi-definite programs, semi-infinite programs, matrix functions and equations, nonsmooth optimization, generalized convexity and generalized monotinicity, and their applications.

Audience

This book is suitable for researchers, practitioners, and postgraduate students in optimization, operations research, and optimal control.

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Table of contents :
On Minimization of Max-Min Functions….Pages 3-33
A Comparison of Two Approaches to Second-Order Subdifferentiability Concepts with Application to Optimality Conditions….Pages 35-100
Duality and Exact Penalization via a Generalized Augmented Lagrangian Function….Pages 101-114
Duality for Semi-Definite and Semi-Infinite Programming with Equality Constraints….Pages 115-125
The Use of Nonsmooth Analysis and of Duality Methods for the Study of Hamilton-Jacobi Equations….Pages 127-140
Some Classes of Abstract Convex Functions….Pages 141-154
An Implementation of Training Dual-nu Support Vector Machines….Pages 157-182
An Analysis of the Barzilai and Borwein Gradient Method for Unsymmetric Linear Equations….Pages 183-211
An Exchange Algorithm for Minimizing Sum-Min Functions….Pages 213-233
On the Barzilai-Borwein Method….Pages 235-256
The Modified Subgraident Method for Equality Constrained Nonconvex Optimization Problems….Pages 257-270
Inexact Restoration Methods for Nonlinear Programming: Advances and Perspectives….Pages 271-291
Quantum Algorithm for Continuous Global Optimization….Pages 293-303
SQP versus SCP Methods for Nonlinear Programming….Pages 305-330
An Approximation Approach for Linear Programming in Measure Space….Pages 331-350
Optimal Control of Nonlinear Systems….Pages 353-367
Proximal-Like Methods for Convex Minimization Problems….Pages 369-392
Analysis of Two Dimensional Nonconvex Variational Problems….Pages 393-405
Stability of Equilibrium Points of Projected Dynamical Systems….Pages 407-421
On a Quasi-Consistent Approximations Approach to Optimization Problems with Two Numerical Precision Parameters….Pages 423-445
Numerical Solutions of Optimal Switching Control Problems….Pages 447-459
A Solution to Hamilton-Jacobi Equation by Neural Networks and Optimal State Feedback Control….Pages 461-480
H ∞ Control Based on State Observer for Descriptor Systems….Pages 481-493
Decomposable Generalized Vector Variational Inequalities….Pages 497-507
On a Geometric Lemma and Set-Valued Vector Equilibrium Problem….Pages 509-517
Equilibrium Problems….Pages 519-527
Gap Functions and Descent Methods for Minty Variational Inequality….Pages 529-547
A New Class of Proximal Algorithms for the Nonlinear Complementarity Problem….Pages 549-561