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Full Description
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.
Contents
Networks, Systems and Control Theory.- Riccati Equations, Network Theory and Brune Synthesis: Old Solutions for Contemporary Problems.- Passive Linear Systems and Scattering Theory.- Tracking Control and ?-Freeness of Infinite Dimensional Linear Systems.- On Canonical Wiener-Hopf Factorizations.- State Space Methods for Analysis Problems Involving Rational Matrix Functions.- Stabilization of Nonlinear Systems Using Output Feedback.- Towards a System Theory for Model Set: Chain-Scattering Approach.- The Role of the Hamiltonian in the Solution of Algebraic Riccati Equations.- The Control and Mechanics of Human Movement Systems.- Numerical Methods for Linear Quadratic and H? Control Problems.- Nonlinear Feedback Stabilization Revisited.- Probabilistic Robustness Analysis and Design of Uncertain Systems.- An Approach to Observer Design.- System Theory and Coding.- Group Codes and Behaviors.- The Berlekamp-Massey algorithm, error-correction, keystreams and modeling.- An Algebraic Decoding Algorithm for Convolutional Codes.- Vision.- to the Mathematical Aspects of Computer Vision.- The Structure and Motion of Surfaces.- Shape from Texture and Shading with Wavelets.- Anisotropic Smoothing of Posterior Probabilities.- The Accommodation Cue in Vision.- Discrete-Events and Hybrid Systems.- Hybrid Control in Automotive Applications.- Control Synthesis for Discrete Event Systems.
