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Book Cover
Author Zhang, Xian, author

Title Analysis and design of delayed genetic regulatory networks / Xian Zhang, Yantao Wang, Ligang Wu
Published Cham, Switzerland : Springer, 2019


Description 1 online resource (xxi, 263 pages) : illustrations (some color)
Series Studies in systems, decision and control, 2198-4182 ; volume 207
Studies in systems, decision and control ; v. 207. 2198-4182
Contents Intro; Preface; Acknowledgements; Contents; Notations and Acronyms; List of Figures; List of Tables; 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; References; 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 Case2.2.1 Model Description; 2.2.2 Main Results; 2.2.3 Numerical Examples; 2.3 Remarks and Notes; References; 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; References; 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; References; 5 Stability Analysis for Delayed Stochastic GRNs
5.1 Model Description and Problem Formulation5.2 Main Results; 5.3 Numerical Examples; 5.4 Remarks and Notes; References; 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; 6.4 Remarks and Notes; References; 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 Example7.3 Reduced-Order State Observer; 7.3.1 Observer Design; 7.3.2 A Numerical Example; 7.4 Remarks and Notes; References; 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; 8.4 Remarks and Notes; References; 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 Design9.3.2 Numerical Examples; 9.4 Remarks and Notes; References; 10 Hinfty 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 Hinfty State Estimation for Delayed Discrete-Time GRNs; 11.1 Problem Formulation; 11.2 Hinfty Filter Design; 11.3 A Numerical Example; 11.4 Remarks and Notes; References
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
Bibliography Includes bibliographical references
Notes Online resource; title from PDF title page (SpringerLink, viewed April 23, 2019)
Subject Gene regulatory networks.
Gene Regulatory Networks
Gene regulatory networks.
Form Electronic book
Author Wang, Yantao, author
Wu, Ligang, author
ISBN 9783030170981