Buch, Englisch, 576 Seiten, Format (B × H): 164 mm x 243 mm, Gewicht: 2240 g
Buch, Englisch, 576 Seiten, Format (B × H): 164 mm x 243 mm, Gewicht: 2240 g
Reihe: Systems & Control: Foundations & Applications
ISBN: 978-0-8176-4461-1
Verlag: Birkhauser Boston
This reorganized, revised, and expanded edition of a two-volume set is a self-contained account of quadratic cost optimal control for a large class of infinite dimensional systems. The study of this problem shows the beautiful interplay between optimality and the qualitative properties of systems such as controllability, observability, stabilizability, and detectability.
New material includes an expanded chapter on the control of linear systems and a chapter on linear quadratic two-person zero-sum differential games. A unique chapter on semigroup theory and interpolation of linear operators brings together advanced concepts and techniques that are usually treated independently. The material on delay systems and structural operators is not available elsewhere in book form.
Control of infinite dimensional systems has a wide range and growing number of challenging applications. This book is a key reference for anyone working on these applications, which arise from new phenomenological studies, new technological developments, and more stringent design requirements. It will be useful for mathematicians, graduate students, and engineers interested in the field and in the underlying conceptual ideas of systems and control.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
- Mathematik | Informatik Mathematik Operations Research Spieltheorie
- Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Überwachungstechnik
- Technische Wissenschaften Technik Allgemein Mess- und Automatisierungstechnik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
Weitere Infos & Material
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.
