Analysis of Controlled Dynamical Systems: "Proceedings Of A Conference Held In Lyon, France, July 1990"

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. Front Matter....Pages i-ix On the dynamic behavior of the novelty detector and the novelty filter....Pages 1-10 Newton Diagrams and Tangent Cones to Attainable Sets....Pages 11-20 Transitivity and Forward Accessibility of Discrete-Time Nonlinear Systems....Pages 21-34 The Behavior of Super-Articulated Mechanisms Subject to Periodic Forcing....Pages 35-50 On the topological structure of inner functions and its use in identification of linear systems....Pages 51-59 Groups and Signals....Pages 60-68 Geometric Time Optimal Control in Batch Reactors....Pages 69-87 Discrete Wavelets and Fast Wavelet Transform....Pages 88-102 Nilpotent Approximations and Optimal Trajectories....Pages 103-117 Feedback Equivalence to Passive Nonlinear Systems....Pages 118-135 On the Agonistic-Antagonistic Equilibration and Its Control....Pages 136-145 Application of Symmetry Semi Groups to Discrete and Continuous Time Filtering Problems....Pages 146-155 A Non-Holonomic Dynamic Interpolation Problem....Pages 156-166 Quadratic Symmetries for the Woodward Ambiguity Function....Pages 167-182 The Structure of Nonlinear Systems Revisited....Pages 183-192 Finite morphisms of differential algebraic varieties and elimination theory....Pages 193-200 Formules d’inversion....Pages 201-210 A fundamental result on the invertibility of discrete time dynamics....Pages 211-223 Nonlinear regulators and Ritt’s remainder algorithm....Pages 224-232 Topological Properties of Observer’s Inputs....Pages 233-242 Dynamic disturbance decoupling for nonlinear systems: The nonsquare and noninvertible case....Pages 243-252 Input/Output behaviour of nonlinear analytic systems: Rational approximations, nilpotent structural approximations....Pages 253-262 Feedback Classification of Analytic Control Systems in the Plane....Pages 263-273 Optimal Control Problems on Lie groups....Pages 274-284 Families of Dilations and Asymptotic Stability....Pages 285-294 Degree Two Normal Forms of Control Systems and the Generalized Legendre Clebsch Condition....Pages 295-303 Combinatorial Approximations of Volterra Series by Bilinear Systems....Pages 304-315 Local Identification of Nonlinear Systems, Bifurcations and Normal Forms....Pages 316-325 Complex Non Integer Derivation in Robust Control through the CRONE Control....Pages 326-336 Global Aspects of Feedback Equivalence for a Parametrized Family of Systems....Pages 337-346 Disturbance Decoupling Via Dynamic Feedback....Pages 347-357 Nonlinear Control Systems: Topological Properties of Trajectory Space....Pages 358-371 On Maximum Principles....Pages 372-381 The Leading Term of a Control Variation....Pages 382-392 Duality for Linear Systems: External and State Space Characterization of the Adjoint System....Pages 393-403 Back Matter....Pages 405-406