Mathematical Systems Theory I Modelling, State Space Analysis, Stability and Robustness /

• Main Authors: Hinrichsen, Diederich (Author), Pritchard, Anthony J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Texts in Applied Mathematics, 48
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; System theory.; Calculus of variations.; Complexity, Computational.; Analysis.; Systems Theory, Control.; Dynamical Systems and Ergodic Theory.; Calculus of Variations and Optimal Control; Optimization.; Complexity.

This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. This first volume is devoted to the analysis of dynamical systems with emphasis on problems of uncertainty, whereas the second volume will be devoted to con...

Table of Contents:

• Mathematical Models
• Introduction to State Space Theory
• Stability Theory
• Perturbation Theory
• Uncertain Spaces
• Appendix: Linear Algebra
• Complex Analysis
• Convolutions and Transforms
• Linear Operators.