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  • Book
  • © 2015

Zhang Functions and Various Models

  • The first book focusing on solving different types of time-varying problems using various ZD models derived from different ZFs in real complex domains
  • Includes theoretical analyses, Simulink modeling, computer simulations, and robotic application in neurocomputing fields
  • Suitable for graduate students as well as academic and industrial researchers studying in the developing fields of neural dynamics, computer mathematics, time-varying computation, simulation and modeling, analog hardware, and robotics
  • Includes supplementary material: sn.pub/extras

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xxi
  2. Scalar-Valued ZF in Real Domain

    1. Front Matter

      Pages 1-1
    2. Time-Varying Reciprocal

      • Yunong Zhang, Dongsheng Guo
      Pages 3-16
    3. Time-Varying Inverse Square Root

      • Yunong Zhang, Dongsheng Guo
      Pages 17-31
    4. Time-Varying Square Root

      • Yunong Zhang, Dongsheng Guo
      Pages 33-45
  3. Vector-Valued ZF in Real Domain

    1. Front Matter

      Pages 47-47
    2. System of Time-Varying Linear Equations

      • Yunong Zhang, Dongsheng Guo
      Pages 49-60
    3. Time-Varying Linear Matrix-Vector Inequality

      • Yunong Zhang, Dongsheng Guo
      Pages 75-88
  4. Matrix-Valued ZF in Real Domain

    1. Front Matter

      Pages 89-89
    2. Time-Varying Matrix Inverse

      • Yunong Zhang, Dongsheng Guo
      Pages 91-104
    3. Time-Varying Matrix Left Pseudoinverse

      • Yunong Zhang, Dongsheng Guo
      Pages 105-119
    4. Time-Varying Matrix Right Pseudoinverse

      • Yunong Zhang, Dongsheng Guo
      Pages 121-128
    5. Time-Varying Matrix Square Root

      • Yunong Zhang, Dongsheng Guo
      Pages 129-148
  5. ZF in Complex Domain

    1. Front Matter

      Pages 149-149
    2. Time-Varying Complex Reciprocal

      • Yunong Zhang, Dongsheng Guo
      Pages 151-161
    3. Time-Varying Complex Matrix Inverse

      • Yunong Zhang, Dongsheng Guo
      Pages 163-172
    4. Time-Varying Complex Matrix Generalized Inverse

      • Yunong Zhang, Dongsheng Guo
      Pages 173-192
  6. ZF Application to Robot Control

    1. Front Matter

      Pages 193-193
    2. Application to Fixed-Base Robot RMP

      • Yunong Zhang, Dongsheng Guo
      Pages 195-213

About this book

This book focuses on solving different types of time-varying problems. It presents various Zhang dynamics (ZD) models by defining various Zhang functions (ZFs) in real and complex domains. It then provides theoretical analyses of such ZD models and illustrates their results. It also uses simulations to substantiate their efficacy and show the feasibility of the presented ZD approach (i.e., different ZFs leading to different ZD models), which is further applied to the repetitive motion planning (RMP) of redundant robots, showing its application potential.

Reviews

“This detailed, yet concise book of 236 pages contains 5 parts and 18 chapters on Zhang functions (ZF) and Zhang neural dynamics (ZD). … This book on neural computing may serve as a revelation to numerical analysts as it alters the whole field of computing.” (Frank Uhlig, zbMATH 1339.65002, 2016)

Authors and Affiliations

  • School of Information Science & Technology, Sun Yat-sen University, Guangzhou, China

    Yunong Zhang, Dongsheng Guo

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
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