Overview
This is a book about modelling, analysis and control of linear time- invariant systems. The book uses what is called the behavioral approach towards mathematical modelling. Thus a system is viewed as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. In the first part of the book the structure of the set of trajectories that such dynamical systems generate is analyzed. Conditions are obtained for two systems of differential equations to be equivalent in the sense that they define the same behavior. It is further shown that the trajectories of such linear differential systems can be partitioned in free inputs and bound outputs. In addition the memory structure of the system is analyzed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. An essential feature of using the behavioral approach is that it allows these and similar concepts to be introduced in a representation-free manner. In the third part control problems are considered, more specifically stabilization and pole placement questions. This text is suitable for advanced undergraduate or beginning graduate students in mathematics and engineering. It contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.
Full Product Details
Author: J. C. Willems ,
Jan Willem Polderman
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Volume: v. 26
Dimensions:
Width: 15.60cm
, Height: 2.60cm
, Length: 23.40cm
Weight: 0.760kg
ISBN: 9780387982663
ISBN 10: 0387982663
Pages: 454
Publication Date: 01 November 1997
Audience:
College/higher education
,
Professional and scholarly
,
Undergraduate
,
Postgraduate, Research & Scholarly
Replaced By: 9780387357638
Format: Hardback
Publisher's Status: Active
Availability: Out of stock
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.
Reviews
From the reviews: INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL The present book is a major original contribution to the literature and is of high quality. The most original chapters are the 'strongly behavioural' Chapters 1-6 and the historical preface. The introduction is carefully written and each chapter ends with a precise recapitulation of what has been done. It is well organized, technically well written, philosophically nice, and contains a wealth of examples and exercises. It is also well self-contained for its audience!scientific honesty dictates to congratulate the authors and to recommend this book as a textbook to a large public of systems and control students, and especially for those having already followed a first course on linear systems.
From the reviews: INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL ""The present book is a major original contribution to the literature and is of high quality. The most original chapters are the 'strongly behavioural' Chapters 1-6 and the historical preface. The introduction is carefully written and each chapter ends with a precise recapitulation of what has been done. It is well organized, technically well written, philosophically nice, and contains a wealth of examples and exercises. It is also well self-contained for its audience!scientific honesty dictates to congratulate the authors and to recommend this book as a textbook to a large public of systems and control students, and especially for those having already followed a first course on linear systems.""
