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  • © 2000

The Dynamics of Control

Birkhäuser

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

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xii
  2. Introduction

    1. Introduction

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

    1. Dynamics, Perturbations, and Control

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

    1. Front Matter

      Pages 45-45
    2. Control Sets

      • Fritz Colonius, Wolfgang Kliemann
      Pages 47-88
    3. Control Flows and Limit Behavior

      • Fritz Colonius, Wolfgang Kliemann
      Pages 89-135
  5. Linearization Theory

    1. Front Matter

      Pages 137-137
    2. Linear Flows on Vector Bundles

      • Fritz Colonius, Wolfgang Kliemann
      Pages 139-208
    3. Bilinear Systems on Vector Bundles

      • Fritz Colonius, Wolfgang Kliemann
      Pages 209-253
    4. Linearization at a Singular Point

      • Fritz Colonius, Wolfgang Kliemann
      Pages 255-307
  6. Applications

    1. Front Matter

      Pages 309-309
    2. One-Dimensional Control Systems

      • Fritz Colonius, Wolfgang Kliemann
      Pages 311-352
    3. Examples for Global Behavior

      • Fritz Colonius, Wolfgang Kliemann
      Pages 353-375
    4. Examples for the Spectrum

      • Fritz Colonius, Wolfgang Kliemann
      Pages 377-405
    5. Stability Radii and Robust Stability

      • Fritz Colonius, Wolfgang Kliemann
      Pages 407-432
    6. Open and Closed Loop Stabilization

      • Fritz Colonius, Wolfgang Kliemann
      Pages 433-475
    7. Dynamics of Perturbations

      • Fritz Colonius, Wolfgang Kliemann
      Pages 477-497
  7. Back Matter

    Pages 499-629

About this book

This new text/reference 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. With its careful use of examples and detailed development, it is suitable for use as a self-study/reference guide for all scientists and engineers.

Reviews

From the reviews:

"The scope of the present book is comprehensive and includes a variety of topics related to the theory of systems and control. The main frame is the notion of control flow with its global dynamics and linearization. Time-varying perturbations, global and local dynamics of control systems, as well as relevant numerical methods are treated…. The book is an excellent resource for the foundations and applications of control theory and nonlinear dynamics for mathematicians, physicists, and engineers. The point of view of the authors, who incorporated into this treatise a variety of topics from fields that were often considered rather separately, makes the book especially interesting." —Applications of Mathematics

"The Dynamics of Control provides a non traditional approach to the subjects of Dynamical Systems theory and Control theory. It is probably the first book where such notions as Morse decomposition, chain recurrence from dynamical systems theory are systematically used for control systems. … self contained appendix is very helpful. … The book contains many examples which are helpful in mastering the material. … Also, the systematic use of dynamical systems theory as applied to control systems should be interesting to control theorists." (V. Zharnitsky, Dynamical Systems Magazine, April, 2008)

Authors and Affiliations

  • Institut für Mathematik, Universität Augsburg, Augsburg, Germany

    Fritz Colonius

  • Department of Mathematics, Iowa State University, Ames, USA

    Wolfgang Kliemann

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access