Mathematical Control Theory An Introduction /

• Main Author: Zabczyk, Jerzy (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2008.
• Series: Modern Birkhäuser Classics
• Subjects: Mathematics.; Applied mathematics.; Engineering mathematics.; System theory.; Calculus of variations.; Control engineering.; Robotics.; Mechatronics.; Systems Theory, Control.; Applications of Mathematics.; Calculus of Variations and Optimal Control; Optimization.; Control, Robotics, Mechatronics.

Mathematical Control Theory: An Introduction presents, in a mathematically precise manner, a unified introduction to deterministic control theory. With the exception of a few more advanced concepts required for the final part of the book, the presentation requires only a knowledge of basic facts fro...

Table of Contents:

• Elements of classical control theory
• Controllability and observability
• Stability and stabilizability
• Realization theory
• Systems with constraints
• Nonlinear control systems
• Controllability and observability of nonlinear systems
• Stability and stabilizability
• Realization theory
• Optimal control
• Dynamic programming
• Dynamic programming for impulse control
• The maximum principle
• The existence of optimal strategies
• Infinite dimensional linear systems
• Linear control systems
• Controllability
• Stability and stabilizability
• Linear regulators in Hilbert spaces.