Analysis and Design of Delayed Genetic Regulatory Networks

ISBN-13: 9783030170974 / Angielski / Twarda / 2019 / 263 str.

Xian Zhang; Yantao Wang; Ligang Wu

Recenzje

"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 Selisteanu, 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)

Spis treści

Stability Analysis for GRNs with Mixed Delays.- Stability Analysis of Delayed GRNs.- Stability Analysis for Delayed Switching GRNs.- Stability Analysis for Delayed Stochastic GRNs.- Stability Analysis for Delayed Reaction-Diffusion GRNs.- State Estimation for Delayed GRNs.- Guaranteed Cost Control for Delayed GRNs.- State Estimation for Delayed Reaction-Diffusion GRNs.- H State Estimation for Delayed Stochastic GRNs.- H State Estimation for Delayed Discrete-Time GRNs.

Blurb

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.