Optimal Control

• Main Author: Vinter, Richard (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2010.
• Series: Modern Birkhäuser Classics
• Subjects: Mathematics.; System theory.; Calculus of variations.; Control engineering.; Systems Theory, Control.; Control.; Calculus of Variations and Optimal Control; Optimization.

Optimal Control brings together many of the important advances in 'nonsmooth' optimal control over the last several decades concerning necessary conditions, minimizer regularity, and global optimality conditions associated with the Hamilton–Jacobi equation. The book is largely self-contain...

Table of Contents:

• Overview
• Measurable Multifunctions and Differential Inclusions
• Variational Principles
• Nonsmooth Analysis
• Subdifferential Calculus
• The Maximum Principle
• The Extended Euler–Lagrange and Hamilton Conditions
• Necessary Conditions for Free End-Time Problems
• The Maximum Principle for State Constrained Problems
• Necessary Conditions for Differential Inclusion Problems with State Constraints
• Regularity of Minimizers
• Dynamic Programming.