Unsolved Problems in Mathematical Systems and Control Theory

Unsolved Problems in Mathematical Systems and Control Theory Edited by Vincent D. Blondel Alexandre Megretski PRINCETON UNIVERSITY PRESS PRINCETON AND OXFORD iv Copyright 2004 by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540, USA In the United Kingdom: Princeton University Press, 3 Market Place, Wood-stock, Oxfordshire OX20 1SY, UK All rights reserved Library of Congress Cataloging-in-Publication Data Unsolved problems in mathematical systems and control theory Edited by Vincent D. Blondel, Alexandre Megretski. p. cm. Includes bibliographical references. ISBN 0-691-11748-9 (cl : alk. paper) 1. System analysis. 2. Control theory. I. Blondel, Vincent. II. Megretski, Alexandre. QA402.U535 2004 2003064802 003—dc22 The publisher would like to acknowledge the editors of this volume for pro-viding the camera-ready copy from which this book was printed. Printed in the United States of America 10 9 8 7 6 5 4 3 2 1 I have yet to see any problem, however complicated, which, when you looked at it in the right way, did not become still more compli-cated. Poul Anderson Contents Preface xiii Associate Editors xv Website xvii PART 1. LINEAR SYSTEMS 1 Problem 1.1. Stability and composition of transfer functions Guillermo Ferna´ndez-Anaya, Juan Carlos Mart´ınez-Garc´ıa 3 Problem 1.2. The realization problem for Herglotz-Nevanlinna functions Seppo Hassi, Henk de Snoo, Eduard Tsekanovski˘ı 8 Problem 1.3. Does any analytic contractive operator function on the polydisk have a dissipative scattering nD realization? Dmitry S. Kalyuzhniy-Verbovetzky 14 Problem 1.4. Partial disturbance decoupling with stability Juan Carlos Mart´ınez-Garc´ıa, Michel Malabre, Vladimir Kuˇcera 18 Problem 1.5. Is Monopoli’s model reference adaptive controller correct? A. S. Morse 22 Problem 1.6. Model reduction of delay systems Jonathan R. Partington 29 Problem 1.7. Schur extremal problems Lev Sakhnovich 33 Problem 1.8. The elusive iff test for time-controllability of behaviors Amol J. Sasane 36 ... - tailieumienphi.vn