An Introduction to Infinite-Dimensional Linear Systems Theory.
- 1st ed.
- 1 online resource (714 pages)
- Texts in Applied Mathematics Series ; v.21 .
- Texts in Applied Mathematics Series .
Texts in Applied Mathematics -- An Introduction to Infinite-Dimensional Linear Systems Theory -- Copyright -- Series Preface -- Preface -- Contents -- List of Figures -- 1 Introduction -- 2 Semigroup Theory -- 3 The Cauchy Problem -- 4 Inputs and Outputs -- 5 Stability, Stabilizability, and Detectability -- 6 Linear Quadratic Optimal Control -- 7 Frequency-Domain Descriptions -- 8 Hankel Operators and the Nehari Problem -- 9 Robust Finite-Dimensional Controller Synthesis -- Appendix A Mathematical Background -- References -- Notation -- Index.
This book introduces infinite dimensional linear systems, treating both state-space and frequency-domain aspects in an integrated fashion that is accessible to graduate engineers and mathematicians with a minimal background in functional analysis.