Mathematical Control Theory

Deterministic Finite Dimensional Systems

  • Eduardo D. Sontag

Part of the Texts in Applied Mathematics book series (TAM, volume 6)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Eduardo D. Sontag
    Pages 1-24
  3. Eduardo D. Sontag
    Pages 25-78
  4. Eduardo D. Sontag
    Pages 79-129
  5. Eduardo D. Sontag
    Pages 131-188
  6. Eduardo D. Sontag
    Pages 189-242
  7. Eduardo D. Sontag
    Pages 243-272
  8. Eduardo D. Sontag
    Pages 273-318
  9. Back Matter
    Pages 319-396

About this book

Introduction

Mathematics is playing an ever more important role in the physical and biologi­ cal 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 development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and rein­ force the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematics Sci­ ences (AMS) series, which will focus on advanced textbooks and research-level monographs. v Preface This textbook introduces the basic concepts and results of mathematical control and system theory. Based on courses that I have taught during the last 15 years, it presents its subject in a self-contained and elementary fashion. It is geared primarily to an audience consisting of mathematically mature advanced undergraduate or beginning graduate students. In addi­ tion, it can be used by engineering students interested in a rigorous, proof­ oriented systems course that goes beyond the classical frequency-domain material and more applied courses.

Keywords

Mathematica Tracking automata automata theory control control theory feedback filtering optimal control stability stabilization system

Authors and affiliations

  • Eduardo D. Sontag
    • 1
  1. 1.Department of MathematicsRutgers UniversityNew BrunswickUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-0374-9
  • Copyright Information Springer-Verlag New York 1990
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-0376-3
  • Online ISBN 978-1-4684-0374-9
  • Series Print ISSN 0939-2475
  • About this book