Impulsive Systems on Hybrid Time Domains
This monograph discusses the issues of stability and the control of impulsive systems on hybrid time domains, with systems presented on discrete-time domains, continuous-time domains, and hybrid-time domains (time scales). Research on impul
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Xinzhi Liu Kexue Zhang
Impulsive Systems on Hybrid Time Domains
IFSR International Series in Systems Science and Systems Engineering Volume 33
Editor-in-chief George E. Mobus, Institute of Technology, University of Washington Tacoma, Tacoma, WA, USA
More information about this series at http://www.springer.com/series/6104
Xinzhi Liu • Kexue Zhang
Impulsive Systems on Hybrid Time Domains
123
Xinzhi Liu Department of Applied Mathematics University of Waterloo Waterloo, ON, Canada
Kexue Zhang Department of Applied Mathematics University of Waterloo Waterloo, ON, Canada
ISSN 1574-0463 IFSR International Series in Systems Science and Systems Engineering ISBN 978-3-030-06211-8 ISBN 978-3-030-06212-5 (eBook) https://doi.org/10.1007/978-3-030-06212-5 Library of Congress Control Number: 2019930083 Mathematics Subject Classification: 34A37, 34D20, 34K20, 34K45, 34N05, 93C15, 93C23, 93C55, 93D05 © Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
Impulsive systems have attracted an increased interest of numerous researchers around the globe due to their important applications in many areas. Some typical physical systems which exhibit impulsive behavior include the action of a mechanical clock, the maintenance of a species through periodic stocking or harvesting, the thrust impulse maneuver of a spacecraft, interest rate adjustment in financial and economics control, and drug administration in cancer therapy and radiation treatment. Significant progress has been made in the theory and applications of impulsive systems in recent years. This book discusses the issues of stability and control of impulsive systems on hybrid time domains from the auth
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