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Dynamics, Bifurcations and Control

  • Conference proceedings
  • © 2002

Overview

Editors:
  1. Fritz Colonius

    1. Institut für Mathematik, Universität Augsburg, Augsburg, Germany

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  2. Lars Grüne

    1. Fachbereich Mathematik, J.W. Goethe-Universität, Frankfurt am Main, Germany

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  • Selected papers from the workshop "Dynamics, Bifurcations and Control"
  • Deals with the fascination of nonlinear control systems rooted in engineering and mathematics alike
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 273)

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Table of contents (20 papers)

  1. Front Matter

    Pages I-XI
    Download chapter PDF

  2. Bifurcation Problems

    1. Controlling an Inverted Pendulum with Bounded Controls

      • Diego M. Alonso, Eduardo E. Paolini, Jorge L. Moiola
      Pages 3-16

    2. Bifurcations of Neural Networks with Almost Symmetric Interconnection Matrices

      • Mauro Di Marco, Mauro Forti, Alberto Tesi
      Pages 17-35

    3. Bifurcations in Systems with a Rate Limiter

      • Francisco Gordillo, Ismael Alcalá, Javier Aracil
      Pages 37-50

    4. Monitoring and Control of Bifurcations Using Probe Signals

      • Munther A. Hassouneh, Hassan Yaghoobi, Eyad H. Abed
      Pages 51-65

    5. Normal Form, Invariants, and Bifurcations of Nonlinear Control Systems in the Particle Deflection Plane

      • Wei Kang
      Pages 67-87

    6. Bifurcations of Reachable Sets Near an Abnormal Direction and Consequences

      • Emmanuel Trélat
      Pages 89-99

  3. Stabilization and Robustness

    1. Oscillation Control in Delayed Feedback Systems

      • Fatihcan M. Atay
      Pages 103-116

    2. Nonlinear Problems in Friction Compensation

      • Antonio Barreiro, Alfonso Baños, Francisco Gordillo, Javier Aracil
      Pages 117-130

    3. Time-Optimal Stabilization for a Third-Order Integrator: a Robust State-Feedback Implementation

      • Giorgio Bartolini, Siro Pillosu, Alessandro Pisano, Elio Usai
      Pages 131-144

    4. Stability Analysis of Periodic Solutions via Integral Quadratic Constraints

      • Michele Basso, Lorenzo Giovanardi, Roberto Genesio
      Pages 145-157

    5. Port Controller Hamiltonian Synthesis Using Evolution Strategies

      • José Cesáreo, Raimúndez Álvarez
      Pages 159-172

    6. Feedback Stabilization and H ∞ Control of Nonlinear Systems Affected by Disturbances: the Differential Games Approach

      • Pierpaolo Soravia
      Pages 173-190

    7. A Linearization Principle for Robustness with Respect to Time-Varying Perturbations

      • Fabian Wirth
      Pages 191-200

  4. Global Dynamics of Control Systems

    1. On Constrained Dynamical Systems and Algebroids

      • Jesús Clemente-Gallardo, Bernhard M. Maschke, Arjan J. van der Schaft
      Pages 203-216

    2. On the Classification of Control Sets

      • Fritz Colonius, Marco Spadini
      Pages 217-231

    3. On the Frequency Theorem for Nonperiodic Systems

      • Roberta Fabbri, Russell Johnson, Carmen Núñez
      Pages 233-240

    4. Longtime Dynamics in Adaptive Gain Control Systems

      • Gennady A. Leonov, Klaus R. Schneider
      Pages 241-254

    5. Model Reduction for Systems with Low-Dimensional Chaos

      • Carlo Piccardi, Sergio Rinaldi
      Pages 255-268

    6. Feedback Equivalence to Feedforward Forms for Nonlinear Single-Input Systems

      • Issa Amadou Tall, Witold Respondek
      Pages 269-286
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Keywords

About this book

This volume originates from the Third Nonlinear Control Workshop "- namics, Bifurcations and Control", held in Kloster Irsee, April 1-3 2001. As the preceding workshops held in Paris (2000) and in Ghent (1999), it was organized within the framework of Nonlinear Control Network funded by the European Union (http://www.supelec.fr/lss/NCN). The papers in this volume center around those control problems where phenomena and methods from dynamical systems theory play a dominant role. Despite the large variety of techniques and methods present in the c- tributions, a rough subdivision can be given into three areas: Bifurcation problems, stabilization and robustness, and global dynamics of control s- tems. A large part of the fascination in nonlinear control stems from the fact that is deeply rooted in engineering and mathematics alike. The contributions to this volume reflect this double nature of nonlinear control. We would like to take this opportunity to thank all the contributors and the referees for their careful work. Furthermore, it is our pleasure to thank Franchise Lamnabhi-Lagarrigue, the coordinator of our network, for her s- port in organizing the workshop and the proceedings and for the tremendous efforts she puts into this network bringing the cooperation between the d- ferent groups to a new level. In particular, the exchange and the active p- ticipation of young scientists, also reflected in the Pedagogical Schools within the Network, is an asset for the field of nonlinear control.

Editors and Affiliations

  • Institut für Mathematik, Universität Augsburg, Augsburg, Germany

    Fritz Colonius

  • Fachbereich Mathematik, J.W. Goethe-Universität, Frankfurt am Main, Germany

    Lars Grüne

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