Analysis and Design of Delayed Genetic Regulatory Networks

Description

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. Front Matter ....Pages i-xxi Backgrounds (Xian Zhang, Yantao Wang, Ligang Wu)....Pages 1-18 Front Matter ....Pages 19-19 Stability Analysis for GRNs with Mixed Delays (Xian Zhang, Yantao Wang, Ligang Wu)....Pages 21-56 Stability Analysis of Delayed GRNs (Xian Zhang, Yantao Wang, Ligang Wu)....Pages 57-80 Stability Analysis for Delayed Switching GRNs (Xian Zhang, Yantao Wang, Ligang Wu)....Pages 81-97 Stability Analysis for Delayed Stochastic GRNs (Xian Zhang, Yantao Wang, Ligang Wu)....Pages 99-116 Stability Analysis for Delayed Reaction-Diffusion GRNs (Xian Zhang, Yantao Wang, Ligang Wu)....Pages 117-154 Front Matter ....Pages 155-155 State Estimation for Delayed GRNs (Xian Zhang, Yantao Wang, Ligang Wu)....Pages 157-181 Guaranteed Cost Control for Delayed GRNs (Xian Zhang, Yantao Wang, Ligang Wu)....Pages 183-196 State Estimation for Delayed Reaction-Diffusion GRNs (Xian Zhang, Yantao Wang, Ligang Wu)....Pages 197-220 \(H_{\infty }\) State Estimation for Delayed Stochastic GRNs (Xian Zhang, Yantao Wang, Ligang Wu)....Pages 221-243 \(H_{\infty }\) State Estimation for Delayed Discrete-Time GRNs (Xian Zhang, Yantao Wang, Ligang Wu)....Pages 245-263