Representation and Control of Infinite Dimensional Systems

• Main Authors: Bensoussan, Alain (Author), Prato, Giuseppe Da (Author), Delfour, Michel C. (Author), Mitter, Sanjoy K. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2007.
• Edition: Second Edition.
• Series: Systems & Control: Foundations & Applications
• Subjects: Engineering.; Partial differential equations.; Applied mathematics.; Engineering mathematics.; System theory.; Calculus of variations.; Control engineering.; Robotics.; Mechatronics.; Control.; Systems Theory, Control.; Calculus of Variations and Optimal Control; Optimization.; Control, Robotics, Mechatronics.; Partial Differential Equations.; Applications of Mathematics.

"This book is a most welcome addition to the literature of this field, where it serves the need for a modern treatment on topics that only very recently have found a satisfactory solution.... Many readers will appreciate the concise exposition." "Presents, or refers to, the most recen...

Table of Contents:

• Finite Dimensional Linear Control Dynamical Systems
• Control of Linear Differential Systems
• Linear Quadratic Two-Person Zero-Sum Differential Games
• Representation of Infinite Dimensional Linear Control Dynamical Systems
• Semigroups of Operators and Interpolation
• Variational Theory of Parabolic Systems
• Semigroup Methods for Systems With Unbounded Control and Observation Operators
• State Space Theory of Differential Systems With Delays
• Qualitative Properties of Infinite Dimensional Linear Control Dynamical Systems
• Controllability and Observability for a Class of Infinite Dimensional Systems
• Quadratic Optimal Control: Finite Time Horizon
• Bounded Control Operators: Control Inside the Domain
• Unbounded Control Operators: Parabolic Equations With Control on the Boundary
• Unbounded Control Operators: Hyperbolic Equations With Control on the Boundary
• Quadratic Optimal Control: Infinite Time Horizon
• Bounded Control Operators: Control Inside the Domain
• Unbounded Control Operators: Parabolic Equations With Control on the Boundary
• Unbounded Control Operators: Hyperbolic Equations With Control on the Boundary.