Introduction to Mathematical Systems Theory

Introduction to Mathematical Systems Theory
Author :
Publisher : Springer Science & Business Media
Total Pages : 446
Release :
ISBN-10 : 9781475729535
ISBN-13 : 1475729537
Rating : 4/5 (35 Downloads)

Book Synopsis Introduction to Mathematical Systems Theory by : J.C. Willems

Download or read book Introduction to Mathematical Systems Theory written by J.C. Willems and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. The first part analyses the structure of the set of trajectories generated by such dynamical systems, and derives the conditions for two systems of differential equations to be equivalent in the sense that they define the same behaviour. In addition the memory structure of the system is analysed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. In the third part, control problems are considered, in particular stabilisation and pole placement questions. Suitable for advanced undergraduate or beginning graduate students in mathematics and engineering, this text contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.


Introduction to Mathematical Systems Theory Related Books

Introduction to Mathematical Systems Theory
Language: en
Pages: 446
Authors: J.C. Willems
Categories: Mathematics
Type: BOOK - Published: 2013-11-11 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Using the behavioural approach to mathematical modelling, this book views a system as a dynamical relation between manifest and latent variables. The emphasis i
Mathematical Systems Theory I
Language: en
Pages: 818
Authors: Diederich Hinrichsen
Categories: Mathematics
Type: BOOK - Published: 2011-08-03 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to
Introduction to Mathematical Systems Theory
Language: en
Pages: 169
Authors: Christiaan Heij
Categories: Science
Type: BOOK - Published: 2006-12-18 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and enginee
Mathematical Control Theory
Language: en
Pages: 276
Authors: Jerzy Zabczyk
Categories: Language Arts & Disciplines
Type: BOOK - Published: 2008 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

In a mathematically precise manner, this book presents a unified introduction to deterministic control theory. It includes material on the realization of both l
Mathematical Control Theory
Language: en
Pages: 543
Authors: Eduardo D. Sontag
Categories: Mathematics
Type: BOOK - Published: 2013-11-21 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students, this text may additionally be used by engine