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  • © 2019

Analysis and Design of Delayed Genetic Regulatory Networks

  • Provides an essential introduction to the latest advances in delayed genetic regulatory networks (GRNs)
  • Presents the basic methods for the analysis and design of delayed GRNs
  • Highlights some of the latest techniques, e.g. the Wirtinger-type integral inequality technique, delay-partitioning technique, slack matrix technique, reciprocally convex technique, and convex technique

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

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xxi
  2. Backgrounds

    • Xian Zhang, Yantao Wang, Ligang Wu
    Pages 1-18
  3. Analysis of Delayed GRNs

    1. Front Matter

      Pages 19-19
    2. Stability Analysis for GRNs with Mixed Delays

      • Xian Zhang, Yantao Wang, Ligang Wu
      Pages 21-56
    3. Stability Analysis of Delayed GRNs

      • Xian Zhang, Yantao Wang, Ligang Wu
      Pages 57-80
    4. Stability Analysis for Delayed Switching GRNs

      • Xian Zhang, Yantao Wang, Ligang Wu
      Pages 81-97
    5. Stability Analysis for Delayed Stochastic GRNs

      • Xian Zhang, Yantao Wang, Ligang Wu
      Pages 99-116
    6. Stability Analysis for Delayed Reaction-Diffusion GRNs

      • Xian Zhang, Yantao Wang, Ligang Wu
      Pages 117-154
  4. Design of Delayed GRNs

    1. Front Matter

      Pages 155-155
    2. State Estimation for Delayed GRNs

      • Xian Zhang, Yantao Wang, Ligang Wu
      Pages 157-181
    3. Guaranteed Cost Control for Delayed GRNs

      • Xian Zhang, Yantao Wang, Ligang Wu
      Pages 183-196
    4. State Estimation for Delayed Reaction-Diffusion GRNs

      • Xian Zhang, Yantao Wang, Ligang Wu
      Pages 197-220
    5. \(H_{\infty }\) State Estimation for Delayed Stochastic GRNs

      • Xian Zhang, Yantao Wang, Ligang Wu
      Pages 221-243
    6. \(H_{\infty }\) State Estimation for Delayed Discrete-Time GRNs

      • Xian Zhang, Yantao Wang, Ligang Wu
      Pages 245-263

About this book

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.

Reviews

“The book is intended for a diverse audience, from graduate students to researchers in theoretical control systems and research-level mathematicians, interested in obtaining a comprehensive exposition of analysis and design of delayed GRNs. The book also offers a collection of important references in this field of research.” (Dan Selişteanu, Mathematical Reviews, October, 2020)

“The topics discussed in this book recommend it mainly to established researchers with a solid background in differential equations and modelling of GRNs; however, the structure of the chapters, with their significant level of details and numerous numerical examples, makes it all so accessible to less experienced readers.” (Irina Ioana Mohorianu, zbMATH 1421.92003, 2019)

Authors and Affiliations

  • School of Mathematical Science, Heilongjiang University, Harbin, China

    Xian Zhang, Yantao Wang

  • School of Astronautics, Harbin Institute of Technology, Harbin, China

    Ligang Wu

Bibliographic Information

  • Book Title: Analysis and Design of Delayed Genetic Regulatory Networks

  • Authors: Xian Zhang, Yantao Wang, Ligang Wu

  • Series Title: Studies in Systems, Decision and Control

  • DOI: https://doi.org/10.1007/978-3-030-17098-1

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-17097-4Published: 07 May 2019

  • eBook ISBN: 978-3-030-17098-1Published: 11 April 2019

  • Series ISSN: 2198-4182

  • Series E-ISSN: 2198-4190

  • Edition Number: 1

  • Number of Pages: XXI, 263

  • Number of Illustrations: 2 b/w illustrations, 51 illustrations in colour

  • Topics: Vibration, Dynamical Systems, Control, Computational Intelligence

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