Perspectives in Control Theory

1. Front Matter

   Pages i-xiii

   PDF

2. Remarks on the Stabilizability of Nonlinear Systems by Smooth Feedback

   • Dirk Aeyels

   Pages 1-11

3. Some Remarks on Pontryagin’s Maximum Principle for Infinite Dimensional Control Problems

   • H. O. Fattorini

   Pages 12-25

4. State-Variable Representation Revisited, Application to Some Control Problems

   • Michel Fliess

   Pages 26-38

5. Linear-Quadratic Problems and the Riccati Equation

   • A. H. W. Geerts, M. L. J. Hautus

   Pages 39-55

6. Robustness measures for linear state space systems under complex and real parameter perturbations

   • D. Hinrichsen, A. J. Pritchard

   Pages 56-74

7. Singular Optimal Problems

   • V. Jurdjevic

   Pages 75-88

8. Stochastic Realization of Stationary Processes: State-Space, Matrix Fraction and ARMA Forms

   • L. Keviczky, J. Bokor

   Pages 89-107

9. Contributions to Nonlinear Inverse Problems Arising in Parameter Estimation for Elliptic Systems

   • K. Kunisch

   Pages 108-128

10. Fuller’s Phenomena

    • I. A. K. Kupka

    Pages 129-142

11. Funnel Equations and Multivalued Integration Problems for Control Synthesis

    • A. B. Kurzhanski, O. I. Nikonov

    Pages 143-153

12. Output Tracking Through Singularities

    • F. Lamnabhi-Lagarrigue, P. E. Crouch, I. Ighneiwa

    Pages 154-174

13. Algebraic Riccati equations arising in boundary/point control: A review of theoretical and numerical results Part I: Continuous case

    • Irena Lasiecka, Roberto Triggiani

    Pages 175-210

14. Algebraic Riccati equations arising in boundary/point control: A review of theoretical and numerical results Part II: Approximation theory

    • Irena Lasiecka, Roberto Triggiani

    Pages 211-235

15. Some Control Problems for Time-Delay Systems

    • Vladimir M. Marchenko

    Pages 236-248

16. Static and Dynamic Feedback Linearization of Nonlinear Systems

    • R. Marino

    Pages 249-260

17. Remarks on the Control of Discrete Time Nonlinear Systems

    • Henk Nijmeijer

    Pages 261-276

18. Variational Problems Arising in Statistics

    • B. T. Polyak

    Pages 277-285

19. Necessary Conditions for an Extremum, Penalty Functions and Regularity

    • Boris N. Pshenichnyj

    Pages 286-296

20. Transformations and Representations of Nonlinear Systems

    • A. J. van der Schaft

    Pages 297-314

The volume contains papers based on lectures delivered during the school "Per­ spectives in Control Theory" held in Sielpia, Poland on September 19-24, 1988. The aim of the school was to give the state-of-the-art presentation of recent achievements as weH as perspectives in such fields of control theory as optimal control and optimization, linear systems, and nonlinear systems. Accordingly, the volume includes survey papers together with presentations of some recent results. The special emphasis is put on: - nonlinear systems (algebraic and geometric methods), - optimal control and optimization (general problems, distributed parameter systems), - linear systems (linear-quadratic problem, robust stabilization). An important feature of the school (and consequently of the volume) was its really "international" character since it brought together leading control theoriests from West and East. All together the school was attended by 108 participants from 18 countries. During the school 21 one-hour invited lectures were delivered. Moreover, five half-an-hour talks were given and 30 contributions were presented in frames of poster sessions. The school was organized and supported by: Institute of Mathematics of the Polish Academy of Sciences, Committee of Automatic Control and Robotics of the Polish Academy of Sciences, - Institute of Automatic Control, Warsaw University of Technology (as Co­ ordinator of the Basic Research Program R.P.I.02 "Theory of Control of Continuous Dynamic Systems and Discrete Processes" ).

• algebra
• mathematics
• optimization
• robot
• robotics

• Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland

  B. Jakubczyk, W. Respondek

• Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

  K. Malanowski

Policies and ethics