An Introduction to Infinite-Dimensional Linear Systems Theory

✍ Scribed by Ruth F. Curtain, Hans Zwart (auth.)

• Publisher: Springer-Verlag New York
• Year: 1995
• Tongue: English
• Leaves: 713
• Series: Texts in Applied Mathematics 21
• Edition: 1
• Category: Library

✦ Synopsis

Infinite dimensional systems is now an established area of research. Given the recent trend in systems theory and in applications towards a synthesis of time- and frequency-domain methods, there is a need for an introductory text which treats both state-space and frequency-domain aspects in an integrated fashion. The authors' primary aim is to write an introductory textbook for a course on infinite dimensional linear systems. An important consideration by the authors is that their book should be accessible to graduate engineers and mathematicians with a minimal background in functional analysis. Consequently, all the mathematical background is summarized in an extensive appendix. For the majority of students, this would be their only acquaintance with infinite dimensional systems.

✦ Table of Contents

Front Matter....Pages i-xviii
Introduction....Pages 1-12
Semigroup Theory....Pages 13-100
The Cauchy Problem....Pages 101-140
Inputs and Outputs....Pages 141-214
Stability, Stabilizability, and Detectability....Pages 215-268
Linear Quadratic Optimal Control....Pages 269-334
Frequency-Domain Descriptions....Pages 335-386
Hankel Operators and the Nehari Problem....Pages 387-456
Robust Finite-Dimensional Controller Synthesis....Pages 457-563
Back Matter....Pages 665-698

✦ Subjects

Analysis