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BL
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| Record Number
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861605
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| Main Entry
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Zhang, Xian
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| Title & Author
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Analysis and design of delayed genetic regulatory networks /\ Xian Zhang, Yantao Wang, Ligang Wu.
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| Publication Statement
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Cham, Switzerland :: Springer,, 2019.
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| Series Statement
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Studies in systems, decision and control,; volume 207
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| Page. NO
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1 online resource (xxi, 263 pages) :: illustrations (some color)
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| ISBN
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3030170985
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: 3030170993
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: 3030171000
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: 9783030170981
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: 9783030170998
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: 9783030171001
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3030170977
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9783030170974
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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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
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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
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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
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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
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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
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| Abstract
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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.
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| Subject
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Gene regulatory networks.
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| Subject
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Gene regulatory networks.
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| Dewey Classification
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572.8/65
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| LC Classification
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QH430
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| Added Entry
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Wang, Yantao
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Wu, Ligang
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