Optimization and Control with Applications (eBook)

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 NeuralNetworks 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