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Introduction to Mathematical Systems Theory de Christiaan Heij

Introduction to Mathematical Systems Theory

Autor Christiaan Heij, André C. M. Ran, Frederik van Schagen
en Limba Engleză Paperback – 18 feb 2021
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.

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Specificații

ISBN-13: 9783030596521
ISBN-10: 3030596524
Pagini: 208
Ilustrații: IX, 195 p. 10 illus., 2 illus. in color.
Dimensiuni: 168 x 240 x 12 mm
Greutate: 0.36 kg
Ediția:2nd edition 2021
Editura: birkhäuser
Locul publicării:Cham, Switzerland

Cuprins

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.

Recenzii

“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 Gałkowski, zbMATH 1461.93001, 2021)

Notă biografică

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

Textul de pe ultima copertă

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 are now available on the Springer Link's book website..

Caracteristici

Treats the standard topics of introductory courses in linear systems and control theory Provides exercises on SpringerLink Grown out of more than fifteen years of lecturing