Analysis and Design of Delayed Genetic Regulatory Networks
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Beschreibung
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.
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.
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
Autor*in
Xian Zhang
Themen in »Analysis and Design of Delayed Genetic Regulatory Networks«
Genetic Regulatory Networks GRNs Delays Reaction-Diffusion Stability Analysis State Estimation Guaranteed Cost Control
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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 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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