Perspectives in Control Theory

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" ).

Texte du rabat

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" ).

Contenu

1. Remarks on the Stabilizability of Nonlinear Systems by Smooth Feedback.- 2. Some Remarks on Pontryagin's Maximum Principle for Infinite Dimensional Control Problems.- 3. State-Variable Representation Revisited, Application to Some Control Problems.- 4. Linear-Quadratic Problems and the Riccati Equation.- 5. Robustness Measures for Linear State-Space Systems Under Complex and Real Parameter Perturbations.- 6. Singular Optimal Problems.- 7. Stochastic Realization of Stationary Processes: State-Space, Matrix Fraction, and ARMA Forms.- 8. Contributions to Nonlinear Inverse Problems Arising in Parameter Estimation for Elliptic Systems.- 9. Fuller's Phenomena.- 10. Funnel Equations and Multivalued Integration Problems for Control Synthesis.- 11. Output Tracking Through Singularities.- 12. Algebraic Riccati Equations Arising in Boundary/Point Control: A Review of Theoretical and Numerical Results Part I: Continuous Case.- 13. Algebraic Riccati Equations Arising in Boundary/Point Control: A Review of Theoretical and Numerical Results Part II: Approximation Theory.- 14. Some Control Problems for Time-Delay Systems.- 15. Static and Dynamic Feedback Linearization of Nonlinear Systems.- 16. Remarks on the Control of Discrete Time Nonlinear Systems.- 17. Variational Problems Arising in Statistics.- 18. Necessary Conditions for an Extremum, Penalty Functions and Regularity.- 19. Transformations and Representations of Nonlinear Systems.- 20. Why Real Analyticity is Important in Control Theory.- 21. Some Problems Arising in Connection with the Theory of Optimization.