Dissipativity Analysis of Switched Gene Regulatory Networks Actuated by Persistent Dwell-Time Switching Strategy

This article concentrates on the global uniform exponential stability analysis and dissipativity property for a class of discrete-time gene regulatory networks (GRNs). To describe the processes at work as cells change phenotype, the time-dependent persistent dwell-time switching strategy is applied...

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Published inIEEE transactions on systems, man, and cybernetics. Systems Vol. 51; no. 9; pp. 5535 - 5546
Main Authors Shen, Hao, Huang, Zhengguo, Xia, Jianwei, Cao, Jinde, Park, Ju H.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.09.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Biological system modeling
Control theory
Criteria
Dissipativity property
Gene expression
global uniform exponential stability
persistent dwell-time switching strategy
Proteins
Stability analysis
switched gene regulatory networks
Switches
Switching
Time dependence
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Summary:This article concentrates on the global uniform exponential stability analysis and dissipativity property for a class of discrete-time gene regulatory networks (GRNs). To describe the processes at work as cells change phenotype, the time-dependent persistent dwell-time switching strategy is applied to switched GRNs. Formulating the mode-dependent Lyapunov-Krasovskii functional, the global uniform exponential stability and strictly dissipativity property criteria for the GRNs subject to time-varying delays are presented. Ultimately, an example, including three cases is employed to illustrate and discuss the availability of the given criteria.
Bibliography:ObjectType-Article-1
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ISSN:2168-2216
2168-2232
DOI:10.1109/TSMC.2019.2956281