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Analysis and Design of Delayed Genetic Regulatory Networks

  • Xian Zhang
  • Yantao Wang
  • Ligang Wu
Book

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 207)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Xian Zhang, Yantao Wang, Ligang Wu
    Pages 1-18
  3. Analysis of Delayed GRNs

    1. Front Matter
      Pages 19-19
    2. Xian Zhang, Yantao Wang, Ligang Wu
      Pages 21-56
    3. Xian Zhang, Yantao Wang, Ligang Wu
      Pages 57-80
    4. Xian Zhang, Yantao Wang, Ligang Wu
      Pages 81-97
    5. Xian Zhang, Yantao Wang, Ligang Wu
      Pages 99-116
    6. Xian Zhang, Yantao Wang, Ligang Wu
      Pages 117-154
  4. Design of Delayed GRNs

    1. Front Matter
      Pages 155-155
    2. Xian Zhang, Yantao Wang, Ligang Wu
      Pages 157-181
    3. Xian Zhang, Yantao Wang, Ligang Wu
      Pages 183-196
    4. Xian Zhang, Yantao Wang, Ligang Wu
      Pages 197-220
    5. Xian Zhang, Yantao Wang, Ligang Wu
      Pages 221-243
    6. Xian Zhang, Yantao Wang, Ligang Wu
      Pages 245-263

About this book

Introduction

This book offers an essential introduction to the latest advances in delayed genetic regulatory networks (GRNs) and presents cutting-edge work on the analysis and design of delayed GRNs in which the system parameters are subject to uncertain, stochastic and/or parameter-varying changes. Specifically, the types examined include delayed switching GRNs, delayed stochastic GRNs, delayed reaction–diffusion GRNs, delayed discrete-time GRNs, etc. In addition, the solvability of stability analysis, control and estimation problems involving delayed GRNs are addressed in terms of linear matrix inequality or M-matrix tests.

The book offers a comprehensive reference guide for researchers and practitioners working in system sciences and applied mathematics, and a valuable source of information for senior undergraduates and graduates in these areas. Further, it addresses a gap in the literature by providing a unified and concise framework for the analysis and design of delayed GRNs.

Keywords

Genetic Regulatory Networks GRNs Delays Reaction-Diffusion Stability Analysis State Estimation Guaranteed Cost Control

Authors and affiliations

  • Xian Zhang
    • 1
  • Yantao Wang
    • 2
  • Ligang Wu
    • 3
  1. 1.School of Mathematical ScienceHeilongjiang UniversityHarbinChina
  2. 2.School of Mathematical ScienceHeilongjiang UniversityHarbinChina
  3. 3.School of AstronauticsHarbin Institute of TechnologyHarbinChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-17098-1
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-030-17097-4
  • Online ISBN 978-3-030-17098-1
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • Buy this book on publisher's site