Realization and Modelling in System Theory: Proceedings of the International Symposium MTNS-89, Volume I PDF
Preview Realization and Modelling in System Theory: Proceedings of the International Symposium MTNS-89, Volume I
Progress in Systems and Control Theory Volume 3 Series Editor Christopher I. Byrnes, Washington University Associate Editors S.-I. Amari, University of Tokyo, Japan B.D.O. Anderson, Australian National University, Canberra, Australia Karl J. Astrom, Lund Institute of Technology, Lund, Sweden Jean-Pierre Aubin, CEREMADE, Paris, France H.T. Banks, University of Southern California, Los Angeles, California John S. Baras, University of Maryland, College Park, Maryland A. Bensoussan, INRIA, Paris, France John Bums, Virginia Polytechnic Institute, Blacksburg, Virginia Han-Fu Chen, Beijing University, People's Republic of China M.H.A. Davis, Imperial College of Science and Technology, London, England Wendell Fleming, Brown University, Providence, Rhode Island Michel Fliess, CNRS-ESE, Gif-sur-Yvette, France Keith Glover, University of Cambridge, Cambridge, England D. Hinrichsen, University of Bremen, Federal Republic of Germany Alberto Isidori, University of Rome, Italy B. Jakubczyk, Academy of Sciences, Warsaw, Poland Hidenori Kimura, Osaka University, Japan Arthur Krener, University of California, Davis H. Kunita, Kyushu University, Japan Alexandre Kurzhansky, IIASA, Laxenburg, Austria Harold M. Kushner, Brown University, Providence, Rhode Island Anders Lindquist, Royal Institute of Technology, Stockholm, Sweden Andrzej Manitius, George Mason University, Fairfax, Virginia Clyde F. Martin, Texas Tech University, Lubbock, Texas Sanjoy Mitter, Massachusetts Institute of Technology, Cambridge, Massachusetts Giorgio Picci, LADSEB-CNR, Padova, Italy Boris Pshenichnyj, Glushkov Institute of Cybernetics, Kiev HJ. Sussmann. Rutgers University, New Brunswick. New Jersey TJ. Tam. Washington University, St. Louis. Missouri V.M. Tikhomirov. Institute for Problems in Mechanics. Moscow Pravin P. Varaiya. University of California, Berkeley Jan C. Willems. University of Groningen, The Netherlands W.M. Wonham. University of Toronto M.A. Kaashoek J .H . van Schuppen A.C.M. Ran Editors Realization and Modelling in System Theory Proceedings of the International Symposium MTNS-89, Volume I Birkhauser 1990 Boston' Basel' Berlin M.A. Kaashoek 1.H. van Schuppen FacuIteit Wiskunde en Infonnatica Centre for Mathematics & Computer Science Vrije Universiteit P.O. Box 4079 De Boelelaan 1081 1009 AB Amsterdam, The Netherlands 1081 HV Amsterdam, The Netherlands A.C.M. Ran Faculteit Wiskunde en Infonnatica Vrije Universiteit De Boelelaan 1081 1081 HV Amsterdam, The Netherlands Library of Congress Cataloging-in-Publication Data Proceedings of the International Symposium MTNS-89 / M.A. Kaashoek, 1.H. van Schuppen, A.C.N. Ran, editors. p. cm. - (Perspectives in control theory; v. 3-5) "The 1989 International Symposium on the Mathematical Theory of Networks and Systems (MTNS) . . . held in Amsterdam, The Netherlands, June 19-23, 1989'!.-Pref. Contents : v. 1. Realization and modelling in system theory - v. 2. Robust control of linear systems and nonlinear control - v. 3. Signal processing, scattering and operator theory, and numerical methods. \. System analysis-Congresses. 2. Control theory-Congresses. I. Kaashoek, M. A. II. Schuppen, 1. H. van. m. Ran, A. C. M. IV. International Symposium on the Mathematical Theory of Networks and Systems (9th : 1989 : Amsterdam, Netherlands) V. Series. QA402.P766 1990 003-dc20 90-1003 CIP Printed on acid-free paper. © Birkhiiuser Boston, 1990 Sotkover reprint of the hardcover I st edition 1990 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or other- wise, without prior permission of the copyright owner. Permission to photocopy for internal or personal use, or the internal or personal use of specific clients, is granted by Birkhiiuser Boston, inc., for libraries and other users registered with the Copy- right Clearance Center (CCC), provided that the base fee of $0.00 per copy, plus $0.20 per page is paid directly to CCC, 21 Congress Street, Salem, MA 01970, U.S.A. Special requests should be addressed directly to Birkhiiuser Boston, inc., 675 Massachusetts Avenue, Cambridge, MA 02139, U.S.A. ISBN-I3: 978-1-4612-8033-0 e-ISBN-13: 978-1-4612-3462-3 DOl: 10.1007/978-1-4612-3462-3 Camera-ready text provided by the individual authors. 9 8 7 6 543 2 1 Preface This volume is the first of the three volume publication containing the proceedings of the 1989 International Symposium on the Mathematical Theory of Networks and Systems (MTNS-89), which was held in Amsterdam, The Netherlands, June 19-23, 1989. The International Symposia MTNS focus attention on problems from system and control theory, circuit theory and signal processing, which, in general, require application of sophisticated mathematical tools, such as from function and operator theory, linear algebra and matrix theory, differential and algebraic geometry. The interaction between advanced mathematical methods and practical engineering problems of circuits, systems and control, which is typical for MTNS, turns out to be most effective and is, as these proceedings show, a continuing source of exciting advances. The first volume contains invited papers and a large selection of other symposium presentations on the general theory of deterministic and stochastic systems with an emphasis on realization and modelling. A wide variety of recent results on approximate realization and system identification, stochastic dynamical systems, discrete event systems, 2- o systems, singular systems and nonstandard models IS presented. vi Preface Also a few papers on applications in hydrology and hydraulics are included. The titles of the two other volumes are: Robust Control of Linear Sys- tems and Nonlinear Control (volume 2) and Signal Processing. Scatter- ing and Operator Theory. and Numerical Methods (volume 3). The Editors are most grateful to the about 300 reviewers for their help in the refereeing process. The Editors thank Ms. G. Bijleveld and Ms. L.M. Schultze for their professional secretarial assistance, and Mr. K. van 't Hoff for his programming support. M.A. Kaashoek J.H. van Schuppen Amsterdam A.C.M. Ran February 1990 Contents INVITED PAPERS Questioning the classic state-space description via circuit examples 1 M. Fliess, M. Hasler N oncausal estimation for discrete Gauss-Markov random fields 13 B. Levy Process models for discrete event systems 23 P.P. Varaiya A framework for the study of dynamical systems 43 J.e. Willems Correspondence of internal and external stability - Realization, transfer 61 functions and complex ana~ysis Y. Yamamoto viii TRANSFORMATIONS AND REPRESENTATIONS OF SYSTEMS State-space and polynomial approaches to rational interpolation 73 A. Antouias, B.D.O. Anderson The Kahler structure of the total least squares problem, Brockett's steepest 83 descent equations, and constrained flows A.M. Bloch Some canonical properties of nonlinear systems 89 G. Conte, C.H. Moog, A. Perdon Differential algebraic modelling of nonlinear systems 97 T.Glad Transformation issues in linear system theory 107 A.C. Pugh, G.E. Hayton Another look at the Brayton-Moser network equations 117 J.M. Schumacher Input/ output equations and realizability 125 E.D. Sontag, Yuan Wang Balancing general quadratic measures on external signals 133 S. Weiland THE TOPOLOGY OF LINEAR SYSTEMS Lie algebraic generalizations of Hessenberg matrices and the topology of 141 H essenberg varieties F. DeMari, M.A. Shayman The moduli space of controllable singular systems under restricted system 149 equivalence D. Hinrichsen, J. O'Halloran A note on the geometry ofp artial realization 157 W. Manthey, U. Helmke, D. Hinrichsen The numerical stability of observability 167 C. Martin, 1. Iakovidis ix ALGEBRAIC GEOMETRY AND LINEAR SYSTEMS On BCS -rings and the pole shifting problem for linear systems 173 J. Brewer, L. Klingler Matching via measurement feedback 181 G. Conte, M.D. di Benedetto, A. Perdon Algebraic-geometric techniques for linear periodic discrete-time systems 189 O.M. Grasselli, S. Longhi Zeros at infinity for infinite dimensional systems 199 M. Malabre, R. Rabah The pole module of a feedback compensator system is contained in the zero 207 module of the resultingfeedback system M.K. Sain, B.F. Wyman On stabilization and the existence of coprime factorizations 215 M.e. Smith Continuous pole shifting for parametric families of systems 223 Yuan Wang The Riccati flow near the edge 231 J.S. Wolper SINGULAR SYSTEMS Reachability and controllability subsp aces for singular systems: A matrix 241 pencil characterization F.M. Atay, K. Oz~ldiran Classification of subsp aces of singular systems: A number theoretic approach 247 N. Karcanias A classification of minimal bases for singular systems 255 N. Karcanias, H. Eliopoulou Some useful aspects of the infinite structure in singular systems 263 F.L. Lewis, G. Beauchamp, V L. Syrmos On infinite zeros for generalized linear svstems 271 M. Malabre .
The list of books you might like
