Analysis of Controlled Dynamical Systems

The conference "Analysis of Controlled Dynamical Systems" was held in July 1990 at the University of LYON FRANCE. About hundred participants attended this conference which lasted four days : There were 50 speakers from departments of Engineering and Mathematics in east and west Europe, USA and USSR. The general subject of the conference was system theory. The main topics were optimal control, structure and control of nonlinear systems, stabilization and observers, differential algebra and systems theory, nonlinear aspects of Hoc theory, rigid and flexible mechanical systems, nonlinear analysis of signals. We are indebted to the scientific committee John BAILLIEUL, Michel FLIESS, Bronislaw JAKUBCZYCK, Hector SUSSMANN, Jan WILLEMS. We gratefully acknowledge the time and thought they gave to this task. We would also like to thank Chris BYRNES for arranging for the publication of these proceedings through the series "Progress in Systems and Control Theory"; BIRKHAUSER. Finally, we are very grateful to the following institutions who through their financial support contributed essentially to the success of this conference : CNRS, Special year " Systemes Dynamiques", DRET, MEN-DAGIC, GRECO-AUTOMATIQUE, Claude Bernard Lyon I University, Entreprise Rhone-Alpes International, Conseil General du RhOne, the cities of LYON and VILLEURBANNE.

Résumé
The main topics were optimal control, structure and control of nonlinear systems, stabilization and observers, differential algebra and systems theory, nonlinear aspects of Hoc theory, rigid and flexible mechanical systems, nonlinear analysis of signals.

Contenu
On the Dynamic Behavior of the Novelty Detector and the Novelty Filter.- Newton Diagrams and Tangent Cones to Attainable Sets.- Transitivity and Forward Accessibility of Discrete-Time Nonlinear Systems.- The Behavior of Super-Articulated Mechanisms Subject to Periodic Forcing.- On the Topological Structure of Inner Functions and its use in Identification of Linear Systems.- Groups and Signals.- Geometric Time Optimal Control in Batch Reactors.- Discrete Wavelets and Fast Wavelet Transform.- Nilpotent Approximations and Optimal Trajectories.- Feedback Equivalence to Passive Nonlinear Systems.- On the Agonistic-Antagonistic Equilibration and its Control.- Application of Symmetry Semi-Groups to Discrete and Continuous Time Filtering Problems.- A Non-Holonomic Dynamic Interpolation Problem.- Quadratic Symmetries for the Woodward Ambiguity Function.- The Structure of Nonlinear Systems Revisited.- Finite Morphisms of Differential Algebraic Varieties and Elimination Theory.- Formules d'inversion.- A Fundamental Result on the Invertibility of Discrete Time Dynamics.- Nonlinear Regulators and Ritt's Remainder Algorithm.- Topological Properties of Observer's Inputs.- Dynamic Disturbance Decoupling for Nonlinear Systems: The Nonsquare and Noninvertible Case.- Input/Output Behaviour of Nonlinear Analytic Systems: Rational Approximations, Nilpotent Structural Approximations.- Feedback Classification of Analytic Control Systems in the Plane.- Optimal Control Problems on Lie Groups.- Families of Dilations and Asymptotic Stability.- Degree Two Normal Forms of Control Systems and the Generalized Legendre Clebsch Condition.- Combinatorial Approximations of Volterra Series by Bilinear Systems.- Local Identification of Nonlinear Systems, Bifurcations and Normal Forms.- Complex Non Integer Derivation in Robust Control Through the Crone Control.- Global Aspects of Feedback Equivalence for a Parametrized Family of Systems.- Disturbance Decoupling via Dynamic Feedback.- Nonlinear Control Systems: Topological Properties of Trajectory Space.- On Maximum Principles.- The Leading Term of a Control Variation.- Duality for Linear Systems: External and State Space Characterization of the Adjoint System.