Dynamics, Bifurcations and Control

1. Front Matter

   Pages I-XI

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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

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.

• Analysis
• Chaos
• Monitoring
• Normal
• Signal
• friction
• model
• oscillation
• stability
• complexity

• 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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