Ebook: Dynamical Systems, Control, Coding, Computer Vision: New Trends, Interfaces, and Interplay

This book is a collection of essays devoted in part to new research direc­ tions in systems, networks, and control theory, and in part to the growing interaction of these disciplines with new sectors of engineering and applied sciences like coding, computer vision, and hybrid systems. These are new areas of rapid growth and of increasing importance in modern technology. The essays, written by world-leading experts in the field, reproduce and expand the plenary and minicoursejminisymposia invited lectures which were delivered at the Mathematical Theory of Networks and Systems Sym­ posium (MTNS-98), held in Padova, Italy, on July 6-10, 1998. Systems, control, and networks theory has permeated the development of much of present day technology. The impact has been visible in the past fifty years through the dramatic expansion and achievements of the aerospace and avionics industry, through process control and factory au­ tomation, robotics, communication signals analysis and synthesis, and, more recently, even finance, to name just the most visible applications. The theory has developed from the early phase of its history when the ba­ sic tools were elementary complex analysis, Laplace transform, and linear differential equations, to present day, where the mathematics ranges widely from functional analysis, PDE's, abstract algebra, stochastic processes and differential geometry. Irrespective of the particular tools, however, the ba­ sic unifying paradigms of feedback, stability, optimal control, and recursive filtering, have remained the bulk of the field and continue to be the basic motivation for the theory, coming from the real world.

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Content:
Front Matter....Pages ii-xi
Riccati Equations, Network Theory and Brune Synthesis: Old Solutions for Contemporary Problems....Pages 1-25
Passive Linear Systems and Scattering Theory....Pages 27-44
Tracking Control and ?-Freeness of Infinite Dimensional Linear Systems....Pages 45-68
On Canonical Wiener-Hopf Factorizations....Pages 69-91
State Space Methods for Analysis Problems Involving Rational Matrix Functions....Pages 93-109
Stabilization of Nonlinear Systems Using Output Feedback....Pages 111-133
Towards a System Theory for Model Set: Chain-Scattering Approach....Pages 135-156
The Role of the Hamiltonian in the Solution of Algebraic Riccati Equations....Pages 157-172
The Control and Mechanics of Human Movement Systems....Pages 173-202
Nonlinear Feedback Stabilization Revisited....Pages 203-222
Probabilistic Robustness Analysis and Design of Uncertain Systems....Pages 223-262
An Approach to Observer Design....Pages 263-282
Group Codes and Behaviors....Pages 283-299
The Berlekamp-Massey algorithm, error-correction, keystreams and modeling....Pages 301-320
An Algebraic Decoding Algorithm for Convolutional Codes....Pages 321-341
Introduction to Mathematical aspects of computer vision....Pages 343-360
The Structure and Motion of Surfaces....Pages 361-368
Shape from Texture and Shading with Wavelets....Pages 369-391
Anisotropic Smoothing of Posterior Probabilities....Pages 393-417
The Accommodation Cue in Vision....Pages 419-432
Hybrid Control in Automotive Applications....Pages 433-448
Control Synthesis for Discrete Event Systems....Pages 449-479
....Pages 481-493