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Theory of Hybrid Systems: Deterministic and Stochastic

  • Mohamad S. Alwan
  • Xinzhi Liu

Part of the Nonlinear Physical Science book series (NPS)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Mohamad S. Alwan, Xinzhi Liu
    Pages 1-4
  3. Mohamad S. Alwan, Xinzhi Liu
    Pages 5-58
  4. Mohamad S. Alwan, Xinzhi Liu
    Pages 77-95
  5. Mohamad S. Alwan, Xinzhi Liu
    Pages 97-116
  6. Mohamad S. Alwan, Xinzhi Liu
    Pages 117-134
  7. Mohamad S. Alwan, Xinzhi Liu
    Pages 135-143
  8. Mohamad S. Alwan, Xinzhi Liu
    Pages 145-163
  9. Mohamad S. Alwan, Xinzhi Liu
    Pages 165-176
  10. Mohamad S. Alwan, Xinzhi Liu
    Pages 177-190
  11. Mohamad S. Alwan, Xinzhi Liu
    Pages 191-206
  12. Mohamad S. Alwan, Xinzhi Liu
    Pages 207-227
  13. Mohamad S. Alwan, Xinzhi Liu
    Pages 229-241

About this book

Introduction

This book is the first to present the application of the hybrid system theory to systems with EPCA (equations with piecewise continuous arguments). The hybrid system paradigm is a valuable modeling tool for describing a wide range of real-world applications. Moreover, although new technology has produced, and continues to produce highly hierarchical sophisticated machinery that cannot be analyzed as a whole system, hybrid system representation can be used to reduce the structural complexity of these systems. That is to say, hybrid systems have become a modeling priority, which in turn has led to the creation of a promising research field with several application areas. As such, the book explores recent developments in the area of deterministic and stochastic hybrid systems using the Lyapunov and Razumikhin–Lyapunov methods to investigate the systems’ properties. It also describes properties such as stability, stabilization, reliable control, H-infinity optimal control, input-to-state stability (ISS)/stabilization, state estimation, and large-scale singularly perturbed systems.

Keywords

Hybrid Systems Time Delay Random Process Qualitative Properties Laypunov/Razumikhin Methods

Authors and affiliations

  • Mohamad S. Alwan
    • 1
  • Xinzhi Liu
    • 2
  1. 1.Department of Applied MathematicsUniversity of WaterlooWaterlooCanada
  2. 2.Department of Applied MathematicsUniversity of WaterlooWaterlooCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-8046-3
  • Copyright Information Springer Nature Singapore Pte Ltd. and Higher Education Press, Beijing 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-981-10-8045-6
  • Online ISBN 978-981-10-8046-3
  • Series Print ISSN 1867-8440
  • Series Online ISSN 1867-8459
  • Buy this book on publisher's site