63693998 modern control theory william l brogan
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Modern Control TheoryThird Edition
WILLIAM L. BROGAN, Ph.D.Professor of Electrical EngineeringUniversity of Nevada at Las Vegas
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-= Prentice-Hall International, Inc.-
This edition may be sold only in those countries to whichit is consigned by Prentice-Hall International. It is not tobe re-exported and it is not for sale in the U.S.A., Mexico,or Canada.
0 1991, 1985, 1974 by Prentice-Hall, Inc.A .Division of Simon & SchusterEnglewood Cliffs, New Jersey 07632
All rights reserved. No part of this book may bereproduced, in any form or by any means,without permission in writing from the publisher.
Printed in the United States of America
10 9 8 7 6 5 4 3 2 1
ISBN Cl-33-!i=iO435-3
Prentice-Hall International (UK) Limited, LondonPrentice-Hall of Australia Pty. Limited, SydneyPrentice-Hall Canada Inc., TorontoPrentice-Hall Hispanoamericana, !%A., MexicoPrentice-Hall of India Private Limited, New DelhiPrentice-Hall of Japan, Inc., To&y0Simon & Schuster Asia Pte. Ltd., SingaporeEditora Prentice-Hall do Brasil, Ltda., Rio de JaneiroPrentice-Hall, Inc., Englewood Cliffs, New Jersey
This book is dedicated to my parents Lloyd and Alice,and to my grandchildren Jesse and Jacque,
representatives of the next generation.
Index 653
Zero order hold (ZOH), 36, 61, 71, 319, 321Zero state equivalent, 409Zero state response, 134, 311, 319, 420Zero-like behavior of a matrix, 125, 126, 129
Z-transfer function, 9, 10, 60-62state equations and, 80, 88, 94, 442, 484
Z-transforms , 9, 14, 27-29, 31, 34-36, 133,286, 292, 319, 321, 338