Positive 1D and 2D Systems

In the last decade a dynamic development in positive systems has been observed. Roughly speaking, positive systems are systems whose inputs, state variables and outputs take only nonnegative values. Examples of positive systems are industrial processes in

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Published titles include: A Theory ofLearning and Generalization M. Vidyasagar Adaptive Control I.D. Landau, R. Lozano and M.M'Saad Stabilization ofNonlinear Uncertain Systems Miroslav Krstic and Hua Deng Passivity-based Control ofEuler-Lagrange Systems Romeo Ortega, Antonio Loria, Per Johan Nicklasson and Hebertt Sira-Ramirez Stability and Stabilization ofInfinite Dimensional Systems with Applications Zheng-Hua Luo, Bao-Zhu Guo and Orner Morgul Nonsmooth Mechanics (2nd edition) Bernard Brogliato Nonlinear Control Systems II Alberto Isidori LTGain and Passivity Techniques in nonlinear Control Arjan van der Schaft Control ofLinear Systems with Regulation and Input Constraints Ali Saberi, Anton A. Stoorvogel and Peddapullaiah Sannuti Robust and HOC! Control BenM. Chen Computer Controlled Systems Efim N. Rosenwasser and Bernhard P. Lampe Dissipative Systems Analysis and Control Rogelio Lozano, Bernard Brogliato, Olav Egeland and Bernhard Maschke Control of Complex and Uncertain Systems Stanislav V. Emelyanov and Sergey K. Korovin Robust Control Design Using Ii Methods Ian R.Petersen, Valery A. Ugrinovski and Andrey V.Savkin Model Reduction for Control System Design Goro Obinata and Brian D. o. Anderson Control Theory for Linear Systems Harry L. Trentelman, Anton Stoorvogel and Malo Hautus Functional Adaptive Control Simon G. Fabri and Visakan Kadirkamanathan

Tadeusz Kaczorek

Positive 1Dand 2D Systems With 41 Figures

,

Springer

Tadeusz Kaczorek, Professor, DSc Institute of Control and Industrial Electronics, Faculty of Electrical Engineering. Warsaw University ofTechnology, 00-662 Warsaw, ul. Koszykowa 75m.19 Poland

Series Editors B.D. Sontag • M. Thoma

British Library Cataloguing in Publication Data Kacwrek, T. Positive 10 and 20 systems. - (Communications and control engineering) l.Control theory 2.Nonlinear systems I.Tide 629.8'36 ISBN 978-1-4471-1097-2

Library of Congress Cataloging-in-PubJication Data Kaczorek. T. (Tadeusz), 1932Positive 10 and 20 systems 1Tadeusz Kacwrek. p. CDL -- (Communications and control engineering, ISSN 0178-5364) Includes bibliographical references and indelt. ISBN 978-1-4471-1097-2 ISBN 978-1-4471-0221-2 (eBook) DOI 10.1007/978-1-4471-0221-2 l. Non-negative matrices. 2. Linear systems. I. Tide. II. Series.

QAI88 .K33 2002 512.9'434--dc21

2001034210

Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publisbers, or in the case of repro graphic reproduction in accordance with the terms of licences issued by the Copyright Licensing Agency. Enquiries concerning reproduction outside those terms should be sent to the publishers. ISSN 0178-5354 ISBN 978-1-4471-1097-2

e Springer-Verlag London 2002 Originally published by Springer-Verlag London Berlin Heidelberg in 2002 Softcover reprint of the hardcover I st