内容简介：　　

　　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.

英文目录：

1 Backgrounds
　　1.1 Introduction to GRNs
　　1.2 Functional Differential Equation Models of GRNs
　　1.3 Preliminaries
　　　　1.3.1 Nonsingular M-Matrix
　　　　1.3.2 Inequalities
　　　　1.3.3 Miscellanea
　　1.4 Organization
Part I Analysis of Delayed GRNs
2 Stability Analysis for GRNs with Mixed Delays
　　2.1 Constant Distributed Delay Case
　　　　2.1.1 Problem Formulation
　　　　2.1.2 Existence of Nonnegative Equilibrium Points
　　　　2.1.3 Globally Asymptotic Stability Criteria
　　　　2.1.4 Numerical Examples
　　2.2 Unbounded Distributed Delay Case
　　　　2.2.1 Model Description
　　　　2.2.2 Main Results
　　　　2.2.3 Numerical Examples
　　2.3 Remarks and Notes
3 Stability Analysis of Delayed GRNs
　　3.1 Problem Formulation
　　3.2 An Improved Integral Inequality
　　3.3 Stability Criteria
　　3.4 Numerical Examples
　　3.5 Remarks and Notes
4 Stability Analysis for Delayed Switching GRNs
　　4.1 Model Description
　　4.2 Stability Criteria
　　　　4.2.1 Constant Time-Delay Case
　　　　4.2.2 Time-Varying Delay Case
　　4.3 Numerical Examples
　　4.4 Remarks and Notes
5 Stability Analysis for Delayed Stochastic GRNs
　　5.1 Model Description and Problem Formulation
　　5.3 Numerical Examples
　　5.4 Remarks and Notes
6 Stability Analysis for Delayed Reaction-Diffusion GRNs
　　6.1 Problem Formulation
　　6.2 Infinite-Time Case
　　　　6.2.1 Asymptotic Stability Criteria
　　　　6.2.2 Theoretical Comparisons
　　　　6.2.3 Numerical Examples
　　6.3 Finite-Time Case
　　　　6.3.1 Finite-Time Stability Criteria
　　　　6.3.2 A Numerical Example
Part II Design of Delayed GRNs
7 State Estimation for Delayed GRNs
　　7.1 Problem Formulation
　　7.2 Full-Order State Observer
　　　　7.2.1 Observer Design
　　　　7.2.2 A Numerical Example
　　7.3 Reduced-Order State Observer
　　　　7.3.1 Observer Design
　　　　7.3.2 A Numerical Example
　　7.4 Remarks and Notes
8 Guaranteed Cost Control for Delayed GRNs
　　8.1 Problem Formulation
　　8.2 Design of Guaranteed Cost Controller
　　　　8.2.1 Existence of Guaranteed Cost Controllers
　　　　8.2.2 Design Method
　　8.3 A Numerical Example
9 State Estimation for Delayed Reaction-Diffusion GRNs
　　9.1 Problem Formulation
　　9.2 Infinite-Time State Estimation
　　　　9.2.1 Observer Design
　　　　9.2.2 Numerical Examples
　　9.3 Finite-Time State Estimation
　　　　9.3.1 Observer Design
　　　　9.3.2 Numerical Examples
　　9.4 Remarks and Notes
10 H∞ State Estimation for Delayed Stochastic GRNs
　　10.1 Model Description
　　10.2 Main Results
　　10.3 Numerical Examples
　　10.4 Remarks and Notes
　　References
11 H∞ State Estimation for Delayed Discrete-Time GRNs11.1 Introduction
　　11.1 Problem Formulation
　　11.2 H1 Filter Design
　　11.3 A Numerical Example
　　11.4 Remarks and Notes

Appendices
References