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  • © 2019

Impulsive Systems on Hybrid Time Domains

  • 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. Front Matter

    Pages i-ix
  2. Introduction

    1. Front Matter

      Pages 1-1
    2. Introduction

      • Xinzhi Liu, Kexue Zhang
      Pages 3-7
  3. Discrete-Time Impulsive Systems

    1. Front Matter

      Pages 9-9
    2. Application to Synchronization of Dynamical Networks

      • Xinzhi Liu, Kexue Zhang
      Pages 61-70
  4. Continuous-Time Impulsive Systems

    1. Front Matter

      Pages 71-71
    2. Stability of Impulsive Systems with Time-Delay

      • Xinzhi Liu, Kexue Zhang
      Pages 73-96
    3. Consensus of Multi-Agent Systems

      • Xinzhi Liu, Kexue Zhang
      Pages 97-139
    4. Stabilization and Synchronization of Dynamical Networks

      • Xinzhi Liu, Kexue Zhang
      Pages 141-177
  5. Impulsive Systems on Time Scales

    1. Front Matter

      Pages 179-179
    2. Differential Equations on Time Scales

      • Xinzhi Liu, Kexue Zhang
      Pages 181-212
    3. Control Problems on Time Scales

      • Xinzhi Liu, Kexue Zhang
      Pages 285-301
  6. Conclusions and Future Work

    1. Front Matter

      Pages 303-303
    2. Conclusions and Future Directions

      • Xinzhi Liu, Kexue Zhang
      Pages 305-308
  7. Back Matter

    Pages 309-321

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

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access