Analysis and Design of Descriptor Linear Systems

  • Guang-Ren Duan

Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 23)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Guang-Ren Duan
    Pages 1-31
  3. Descriptor Linear Systems Analysis

    1. Front Matter
      Pages 33-33
    2. Guang-Ren Duan
      Pages 57-119
    3. Guang-Ren Duan
      Pages 121-196
  4. Descriptor Linear Systems Design

    1. Front Matter
      Pages 197-197
    2. Guang-Ren Duan
      Pages 199-225
    3. Guang-Ren Duan
      Pages 227-263
    4. Guang-Ren Duan
      Pages 265-303
    5. Guang-Ren Duan
      Pages 305-336
    6. Guang-Ren Duan
      Pages 337-368
    7. Guang-Ren Duan
      Pages 369-388
    8. Guang-Ren Duan
      Pages 389-426
  5. Appendices

    1. Front Matter
      Pages 427-427
    2. Guang-Ren Duan
      Pages 429-449
    3. Guang-Ren Duan
      Pages 465-475
  6. Back Matter
    Pages 477-494

About this book


Descriptor linear systems is an important and rich part of the general field of control systems theory. This book provides a systematic development of descriptor linear systems covering two aspects --- analysis and design. The text provides thorough introductions to the theory of continuous-time descriptor linear systems and to the basic results and recent advances in descriptor linear systems theory. Key features of Analysis and Design of Descriptor Linear Systems: • Introduces real-world examples of descriptor linear systems • Provides step-by-step algorithms for important analysis and design problems • Covers both basic and advanced results in the literature of continuous-time descriptor linear systems • Includes three appendices which supply additional relevant materials supporting the content of select chapters in the book The clear presentation of materials and extensive examples make this book easy to understand by a wide audience and therefore general readers will find this book to be a comprehensive introduction to the theory of descriptor linear systems. Researchers will find a comprehensive description of the most recent results in this theory and students will find a solid introduction and overview to some important problems in linear systems theory.


algebraic-differen continuous-time descriptor systems control systems theory descriptor linear system dynamical order assignment eigenstructure assignment linear systems theory observer design optimal control response analysis singularly perturbed linear systems systems theory

Authors and affiliations

  • Guang-Ren Duan
    • 1
  1. 1., Center for Control Theory and Guidance THarbin Institute of TechnologyHarbinChina, People's Republic

Bibliographic information

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