Optimization and Control with Applications (Applied Optimization Book 96)

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. 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

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.

"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." "This book is suitable for researchers, practitioners, and postgraduate students in optimization, operations research, and optimal control."--BOOK JACKET A collection of 28 refereed papers grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. Suitable for researchers, practitioners and postgrads.