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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.
List of contents
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-Di usion GRNs.- State Estimation for Delayed GRNs.- Guaranteed Cost Control for Delayed GRNs.- State Estimation for Delayed Reaction-Di usion GRNs.- H State Estimation for Delayed Stochastic GRNs.- H State Estimation for Delayed Discrete-Time GRNs.
Summary
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.
Additional text
“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)
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"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)
