Optimization and Control with Applications

1. Front Matter

   Pages i-xlvi

   PDF

2. Duality and Optimality Conditions

   1. On Minimization of Max-Min Functions

      • A.M. Bagirov, A.M. Rubinov

      Pages 3-33

   2. A Comparison of Two Approaches to Second-Order Subdifferentiability Concepts with Application to Optimality Conditions

      • A. Eberhard, C. E. M. Pearce

      Pages 35-100

   3. Duality and Exact Penalization via a Generalized Augmented Lagrangian Function

      • X.X. Huang, X.Q. Yang

      Pages 101-114

   4. Duality for Semi-Definite and Semi-Infinite Programming with Equality Constraints

      • S.J. Li, X.Q. Yang, K.L. Teo

      Pages 115-125

   5. The Use of Nonsmooth Analysis and of Duality Methods for the Study of Hamilton-Jacobi Equations

      • Jean-Paul Penot

      Pages 127-140

   6. Some Classes of Abstract Convex Functions

      • A.M. Rubinov, A.P. Shveidel

      Pages 141-154

3. Optimization Algorithms

   1. An Implementation of Training Dual-nu Support Vector Machines

      • Hong-Gunn Chew, Cheng-Chew Lim, Robert E. Bogner

      Pages 157-182

   2. An Analysis of the Barzilai and Borwein Gradient Method for Unsymmetric Linear Equations

      • Yu-Hong Dai, Li-Zhi Liao, Duan Li

      Pages 183-211

   3. An Exchange Algorithm for Minimizing Sum-Min Functions

      • Alexei V. Demyanov

      Pages 213-233

   4. On the Barzilai-Borwein Method

      • Roger Fletcher

      Pages 235-256

   5. The Modified Subgraident Method for Equality Constrained Nonconvex Optimization Problems

      • Rafail N. Gasimov, Nergiz A. Ismayilova

      Pages 257-270

   6. Inexact Restoration Methods for Nonlinear Programming: Advances and Perspectives

      • José Mario Martinez, Elvio A. Pilotta

      Pages 271-291

   7. Quantum Algorithm for Continuous Global Optimization

      • V. Protopopescu, J. Barhen

      Pages 293-303

   8. SQP versus SCP Methods for Nonlinear Programming

      • Klaus Schittkowski, Christian Zillober

      Pages 305-330

   9. An Approximation Approach for Linear Programming in Measure Space

      • C.F. Wen, S.Y. Wu

      Pages 331-350

4. Optimal Control

   1. Optimal Control of Nonlinear Systems

      • S.P. Banks, T. Cimen

      Pages 353-367

   2. Proximal-Like Methods for Convex Minimization Problems

      • Christian Kanzow

      Pages 369-392

   3. Analysis of Two Dimensional Nonconvex Variational Problems

      • René Meziat

      Pages 393-405

   4. Stability of Equilibrium Points of Projected Dynamical Systems

      • Mauro Passacantando

      Pages 407-421

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.

• algorithm
• algorithms
• calculus
• dynamical system
• dynamical systems
• dynamische Systeme
• global optimization
• linear optimization
• neural network
• nonlinear optimization
• nonlinear system
• optimal control
• optimization
• programming
• stability

• The Hong Kong Polytechnic University, Hong Kong

  Liqun Qi, Koklay Teo, Xiaoqi Yang

Policies and ethics