Optimization Under Stochastic Uncertainty : Methods, Control and Random Search Methods
by Kurt Marti
1. Optimal Control under Stochastic Uncertainty -- 2. Stochastic Optimization of Regulators -- 3. Optimal Open-Loop Control of Dynamic Systems under Stochastic Uncertainty -- 4. Construction of feedback control by means of homotopy methods -- 5. Constructions of Limit State Functions -- 6. Random Search Procedures for Global Optimization -- 7. Controlled Random Search under Uncertainty -- 8. Controlled Random Search Procedures for Global Optimization -- 9. Mathematical Model of Random Search Methods and Elementary Properties -- 10. Special Random Search Methods -- 11. Accessibility Theorems -- 12. Convergence Theorems -- 13. Convergence of Stationary Random Search Methods for Positive Success Probability -- 14. Random Search Methods of convergence order U(n−") -- 15. Random Search Methods with a Linear Rate of Convergence -- 16. Success/Failure-driven Random Direction Procedures -- 17. Hybrid Methods -- 18. Solving optimization problems under stochastic uncertainty by Random Search Methods(RSM).