Nonlinear Synthesis

1. Front Matter

   Pages i-viii

   PDF

2. Morse Theory and Optimal Control Problems

   • A. A. Agrachev, S. A. Vakhrameev

   Pages 1-11

3. Viability Kernel of Control Systems

   • Jean-Pierre Aubin, Hélène Frankowska

   Pages 12-33

4. New Methods for Shaping the Response of a Nonlinear System

   • Christopher I. Byrnes, Alberto Isidori

   Pages 34-52

5. Asymptotic Stabilization of Low Dimensional Systems

   • W. P. Dayawansa, C. F. Martin

   Pages 53-67

6. Zero Dynamics in Robotic Systems

   • Alessandro De Luca

   Pages 68-87

7. Adaptive methods for piecewise linear filtering

   • Giovanni B. Di Masi, Marina Angelini

   Pages 88-98

8. Nonlinear Feedback Control for Flexible Robot Arms

   • Xuru Ding, T. J. Tarn, A. K. Bejczy

   Pages 99-111

9. Methods of Nonlinear Discontinuous Stabilization

   • Michel Fliess, François Messager

   Pages 112-131

10. Invariant Manifolds, Zero Dynamics and Stability

    • Hans W. Knobloch, Dietrich Flockerzi

    Pages 132-140

11. Tracking control for Robotic Manipulators by Local Linear Feedback

    • Hisato P. Kobayashi

    Pages 141-155

12. Synthesis of Control Systems Under Uncertainty Conditions (Game Theory)

    • V. M. Kuntzevich

    Pages 156-168

13. Ellipsoidal Techniques for the Problem of Control Synthesis

    • A. B. Kurzhanski, I. Vályi

    Pages 169-184

14. Extended Gaussian Quadrature and the Identification of Linear Systems

    • Clyde F. Martin, Andreas Soemadi

    Pages 185-199

15. Multirate Sampling and Zero Dynamics: from linear to nonlinear

    • Salvatore Monaco, Dorothée Normand-Cyrot

    Pages 200-213

16. Factorization of Nonlinear Systems

    • Henk Nijmeijer

    Pages 214-223

17. On the Approximation of Set-Valued Mappings in a Uniform (Chebyshev) Metric

    • M. S. Nikolskii

    Pages 224-231

18. Estimation of a Guaranteed Result in Nonlinear Differential Games of Encounter

    • A. G. Pashkov

    Pages 232-241

19. Limit Sets of Trajectories

    • N. N. Petrov

    Pages 242-243

20. Nonlinear Systems with Impulsive and Generalized Function Controls

    • Andrej V. Sarychev

    Pages 244-257

In its broadest sense, nonlinear synthesis involves in fact the synthesis of sometimes so­ phisticated or complex control strategies with the aim of prescribing, or at least influencing, the evolution of complex nonlinear systems. Nonlinear synthesis requires the development of methodologies for modeling complex systems, for the analysis of nonlinear models, and for the systematic design of control schemes or feedback laws which can achieve a wide variety of prescribed objectives. The modeling, analysis and control of complex systems in the face of uncertainty form on of the major components of the current research program in the Department of Systems and Decision Sciences (SDS) at the International Institute for Applied Systems Analysis (IIASA). In June 1989, a IIASA workshop on Nonlinear Synthesis, sponsored by SDS, was held in Sopron, Hungary. We are proud to present this volume as the proceedings of this workshop, a workshop attened by prominent researchers in nonlinear systems from both the East and the West. Since the promotion and encouragement of scientific cooperation between researchers in the East and in the West is one of the goals at IIASA, we feel the Sopron Conference on Nonlinear Synthesis was very successful. Moreover, we were especially pleased by the impressive new advances presented at the workshop which, in this volume, are now part of the conference record.

• complex system
• complex systems
• control
• control system
• cooperation
• evolution
• game theory
• identification
• modeling
• nonlinear system
• optimal control
• research
• stability
• stabilization

• Department of Systems Science and Mathematics, Washington University, St. Louis, USA

  Christopher I. Byrnes

• Department of Systems and Decision Sciences, International Institute for Applied Systems Analysis, Laxenburg, Austria

  Alexander B. Kurzhansky

• Academy of Sciences, USSR

  Alexander B. Kurzhansky

Policies and ethics