© 1998

Introduction to Mathematical Systems Theory

A Behavioral Approach

  • Research into dynamical systems and control theory implications is a very hot topic J. Willems is well-known researcher and has a very good reputation in nonlinear control theory

  • The book uses a unique behavioral approach for which the authors are well regarded Dynamical systems, controllability, observability and stability are among the many topics of active research that are presented Important, widely applicable modeling techniques are detailed

  • Contains numerous exercises, simulation problems, and examples Will be of interest to applied mathematicians, mechanical and electrical engineers.


Part of the Texts in Applied Mathematics book series (TAM, volume 26)

Table of contents

  1. Front Matter
    Pages i-xxix
  2. Jan Willem Polderman, Jan C. Willems
    Pages 1-25
  3. Jan Willem Polderman, Jan C. Willems
    Pages 27-64
  4. Jan Willem Polderman, Jan C. Willems
    Pages 65-113
  5. Jan Willem Polderman, Jan C. Willems
    Pages 115-149
  6. Jan Willem Polderman, Jan C. Willems
    Pages 151-199
  7. Jan Willem Polderman, Jan C. Willems
    Pages 201-240
  8. Jan Willem Polderman, Jan C. Willems
    Pages 241-279
  9. Jan Willem Polderman, Jan C. Willems
    Pages 281-309
  10. Jan Willem Polderman, Jan C. Willems
    Pages 311-339
  11. Jan Willem Polderman, Jan C. Willems
    Pages 341-382
  12. Back Matter
    Pages 383-424

About this book


Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modem as well as the classical techniques of applied mathematics. This renewal of interest,both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The developmentof new courses is a natural consequenceof a high level of excite­ ment on the research frontier as newer techniques, such as numerical and symbolic computersystems,dynamicalsystems,and chaos, mix with and reinforce the tradi­ tional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbookssuitable for use in advancedundergraduate and begin­ ning graduate courses, and will complement the Applied Mathematical Seiences (AMS) series, which will focus on advanced textbooks and research level mono­ graphs. Preface Tbe purpose of this preface is twofold. Firstly, to give an informal historical in­ troduction to the subject area of this book, Systems and Control , and secondly, to explain the philosophy of the approach to this subject taken in this book and to outline the topics that will be covered.


Invariant addition behavior calculus control dynamical systems equation mathematics memory modeling simulation variable

Authors and affiliations

  1. 1.Department of Applied MathematicsUniversity of TwenteEnschedeThe Netherlands
  2. 2.Mathematics InstituteUniversity of GroningenGroningenThe Netherlands

Bibliographic information


From the reviews:


"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."