عنوان

Analysis and design of delayed genetic regulatory networks /

(Number (ISBN

3030170985

(Number (ISBN

3030170993

(Number (ISBN

3030171000

(Number (ISBN

9783030170981

(Number (ISBN

9783030170998

(Number (ISBN

9783030171001

Erroneous ISBN

3030170977

Erroneous ISBN

9783030170974

Title Proper

Analysis and design of delayed genetic regulatory networks /

General Material Designation

[Book]

First Statement of Responsibility

Xian Zhang, Yantao Wang, Ligang Wu.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2019.

Specific Material Designation and Extent of Item

1 online resource (xxi, 263 pages) :

Other Physical Details

illustrations (some color)

Series Title

Studies in systems, decision and control,

Volume Designation

volume 207

ISSN of Series

2198-4182 ;

Text of Note

Includes bibliographical references.

Text of Note

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

Text of Note

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

Text of Note

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

Text of Note

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

Text of Note

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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Text of Note

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.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030170981

Title

Analysis and design of delayed genetic regulatory networks.

International Standard Book Number

9783030170974

Gene regulatory networks.

Gene regulatory networks.

TEC009070

TGMD

TGMD4

Number

Edition

Class number

Zhang, Xian

Wang, Yantao

Wu, Ligang

Date of Transaction

20200823085321.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y