Optimization and Control with Applications

Preface -- Biographical Sketch of Elijah Polak -- Publications of Elijah Polak -- PART I. DUALITY AND OPTIMALITY CONDITIONS -- Chapter 1. On Minimization of Max-Min Functions -- Chapter 2. A Comparison of Two Approaches to Second-Order Subdifferentiability Concepts with Application to Optimality Conditions -- Chapter 3. Duality and Exact Penalization via a Generalized Augmented Lagrangian Function -- Chapter 4. Duality for Semi-Definite and Semi-Infinite Programming with Equality Constraints -- Chapter 5. The Use of Nonsmooth Analysis and of Duality Methods for the Study of Hamilton-Jacobi Equations -- Chapter 6. Some Classes of Abstract Convex Functions -- PART II. OPTIMIZATION ALGORITHMS -- Chapter 7. An Implementation of Training Dual-nu Support Vector Machines -- Chapter 8. An Analysis of the Barzilai and Borwein Gradient Method for Unsymmetric Linear Equations -- Chapter 9. An Exchange Algorithm for Minimizing Sum-Min Functions -- Chapter 10. On the Barzlai-Borwein Method -- Chapter 11. The Modified Subgradient Method for Equality Constrained Nonconvex Optimization Problems -- Chapter 12. Inexact Restoration Methods for Nonlinear Programming: Advances and Perspectives -- Chapter 13. Quantum Algorithm for Continuous Global Optimization -- Chapter 14. SQP Versus SCP Methods for Nonlinear Programming -- Chapter 15. An Approximation Approach for Linear Programming in Measure Space -- PART III. OPTIMAL CONTROL -- Chapter 16. Optimal Control of Nonlinear Systems -- Chapter 17. Proximal-Like Methods for Convex Minimization Problems -- Chapter 18. Analysis of Two Dimensional Nonconvex Variational Problems -- Chapter 19. Stability of Equilibrium Points of Projected Dynamical Systems -- Chapter 20. On a Quasi-Consistent Approximations Approach to Optimization Problems with Two Numerical Precision Parameters -- Chapter 21. Numerical Solutions of Optimal Switching Control Problems -- Chapter 22. A Solution to Hamilton-Jacobi Equation by Neural Networks and Optimal State Feedback Control -- Chapter 23. H(infinity) Control Based on State Observer for Descriptor Systems -- PART IV. VARIATIONAL INEQUALITY AND EQUILIBRIUM -- Chapter 24. Decomposable Generalized Vector Variational Inequalities -- Chapter 25. On a Geometric Lemma and Set-Valued Vector Equilibrium Problem -- Chapter 26. Equilibrium Problems -- Chapter 27. Gap Functions and Descent Methods for Minty Variational Inequality -- Chapter 28. A New Class of Proximal Algorithms for the Nonlinear Complementary Problem