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Impulsive Systems on Hybrid Time Domains

  • Book
  • © 2019

Overview

  • Discusses the most recent developments in the theory and applications of various impulsive systems
  • Provides reader with fundamentals of differential and difference equations and theory of time scales
  • Includes a chapter on future directions

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Table of contents (11 chapters)

  1. Introduction

  2. Discrete-Time Impulsive Systems

  3. Continuous-Time Impulsive Systems

  4. Impulsive Systems on Time Scales

  5. Conclusions and Future Work

Keywords

About this book

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 impulsive systems has recently attracted increased interest around the globe, and significant progress has been made in the theory and application of these systems. This book introduces recent developments in impulsive systems and fundamentals of various types of differential and difference equations. It also covers studies in stability related to time delays and other various control applications on the different impulsive systems. In addition to the analyses presented on dynamical systems that are with or without delays or impulses, this book concludes with possible future directions pertaining to this research.

Reviews

“The book can be used as a reference for graduate students as well as active researchers.” (Mehdi Nategh, Mathematical Reviews, August, 2019)

Authors and Affiliations

  • Department of Applied Mathematics, University of Waterloo, Waterloo, Canada

    Xinzhi Liu, Kexue Zhang

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