
Introduction to Mathematical Systems Theory
Discrete Time Linear Systems, Control and Identification
Birkhäuser (Publisher)
2nd Edition
Published on 18. February 2021
Book
Paperback/Softback
IX, 195 pages
978-3-030-59652-1 (ISBN)
Description
This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering. The focus is on discrete time systems, which are the most relevant in business applications, as opposed to continuous time systems, requiring less mathematical preliminaries. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation.
This second edition has been updated and slightly expanded. In addition, supplementary material containing the exercises is now available on the Springer Link's book website.
This second edition has been updated and slightly expanded. In addition, supplementary material containing the exercises is now available on the Springer Link's book website.
Reviews / Votes
"The book is very interesting for, as well older years students and, as well, for researchers, who want to have a compendium in control of dynamical systems. . The book is very well writen, contains a lot of examples, which help its understanding and may also be of the great value for the users." (Krzysztof Galkowski, zbMATH 1461.93001, 2021)
More details
Edition
2nd ed. 2021
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Primary & secondary/elementary & high school
Illustrations
8 s/w Abbildungen, 2 farbige Abbildungen
IX, 195 p. 10 illus., 2 illus. in color.
Dimensions
Height: 240 mm
Width: 168 mm
Thickness: 12 mm
Weight
358 gr
ISBN-13
978-3-030-59652-1 (9783030596521)
DOI
10.1007/978-3-030-59654-5
Schweitzer Classification
Other editions
Additional editions

Christiaan Heij | André C.M. Ran | Frederik Van Schagen
Introduction to Mathematical Systems Theory
Discrete Time Linear Systems, Control and Identification
E-Book
02/2021
2nd Edition
Birkhäuser
€53.49
Available for download
Previous edition

Christiaan Heij | André C.M. Ran | F. van Schagen
Introduction to Mathematical Systems Theory
Linear Systems, Identification and Control
Book
10/2006
Birkhäuser
€42.75
Article exhausted; check for reprint
Persons
Christiaan Heij
is assistant professor at the Erasmus University in Rotterdam
André C. M. Ran is full professor at the Vrije Universiteit Amsterdam
Freek van Schagen is visiting fellow at the Vrije Universiteit Amsterdam
André C. M. Ran is full professor at the Vrije Universiteit Amsterdam
Freek van Schagen is visiting fellow at the Vrije Universiteit Amsterdam
Content
Preface.- Dynamical Systems.- Input-Output Systems.- State Space Models.- Stability.- Optimal Control.- Stochastic Systems.- Filtering and Prediction.- Stochastic Control.- System Identification.- Cycles and Trends.- Further Developments.