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The Dynamics of Control

  • Fritz Colonius
  • Wolfgang Kliemann

Part of the Systems & Control: Foundations & Applications book series (SCFA)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Introduction

    1. Fritz Colonius, Wolfgang Kliemann
      Pages 1-6
  3. Dynamics, Perturbations, and Control

    1. Fritz Colonius, Wolfgang Kliemann
      Pages 7-44
  4. Global Theory

    1. Front Matter
      Pages 45-45
    2. Fritz Colonius, Wolfgang Kliemann
      Pages 47-88
    3. Fritz Colonius, Wolfgang Kliemann
      Pages 89-135
  5. Linearization Theory

    1. Front Matter
      Pages 137-137
    2. Fritz Colonius, Wolfgang Kliemann
      Pages 139-208
    3. Fritz Colonius, Wolfgang Kliemann
      Pages 209-253
    4. Fritz Colonius, Wolfgang Kliemann
      Pages 255-307
  6. Applications

    1. Front Matter
      Pages 309-309
    2. Fritz Colonius, Wolfgang Kliemann
      Pages 311-352
    3. Fritz Colonius, Wolfgang Kliemann
      Pages 353-375
    4. Fritz Colonius, Wolfgang Kliemann
      Pages 377-405
    5. Fritz Colonius, Wolfgang Kliemann
      Pages 407-432
    6. Fritz Colonius, Wolfgang Kliemann
      Pages 433-475
    7. Fritz Colonius, Wolfgang Kliemann
      Pages 477-497
  7. Back Matter
    Pages 499-629

About this book

Introduction

The Dynamics of Control provides a carefully integrated development of the mathematical connections between nonlinear control, dynamical systems, and time-varying perturbed systems for scientists and engineers. The central theme is the notion of control flow with its global dynamics and linearization presented in detail.

The book's scope is comprehensive and includes global theory of dynamical systems under time-varying perturbations, global and local dynamics of control systems, connections between control systems and dynamical systems and the relevant numerical methods for global dynamics, linearization, and stability. Topics are developed with a diverse and extensive selection of applied problems from control and dynamical systems.

Topics and Features:

* complete coverage of unified theory of control flows

* wide array of motivating problems from control and dynamical systems to appeal to mathematicians, scientists, and engineers

* relevant motivation and a listing of important definitions and results at the beginning of each chapter

* a compilation of essential background information in four appendices: nonlinear geometric control, topological theory of dynamical systems, computations of reachable sets, and numerical solution of Hamilton–Jacobi–Belman equations

* discussion of numerical methods

This new text and self-study reference guide is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics, and nonlinear dynamics will find the book a rich source of ideas, methods, and applications.

 

Keywords

System bifurcation complex system complex systems dynamische Systeme numerical methods optimal control

Authors and affiliations

  • Fritz Colonius
    • 1
  • Wolfgang Kliemann
    • 2
  1. 1.Institut für MathematikUniversität AugsburgAugsburgGermany
  2. 2.Department of MathematicsIowa State UniversityAmesUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1350-5
  • Copyright Information Birkhäuser Boston 2000
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7107-9
  • Online ISBN 978-1-4612-1350-5
  • Series Print ISSN 2324-9749
  • Buy this book on publisher's site