New stability conditions for GRNs with neutral delay

Ticao Jiao; Guangdeng Zong; Wei Xing Zheng

doi:10.1007/s00500-012-0943-0

New stability conditions for GRNs with neutral delay

Ticao Jiao, Guangdeng Zong, Wei Xing Zheng

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

In this paper, the asymptotic stability problem of genetic regulatory networks with time-varying/constant neutral delay is considered. By introducing a new Lyapunov-Krasovskii functional and applying the free weighting matrix technique, sufficient delay-dependent stability conditions are developed and presented in terms of strict linear matrix inequality, which can be easily verified by using the LMI toolbox. Finally, two numerical examples are provided to demonstrate the effectiveness and reduced conservativeness of the proposed algorithm.

Original language	English
Pages (from-to)	703-712
Number of pages	10
Journal	Soft Computing
Volume	17
Issue number	4
DOIs	https://doi.org/10.1007/s00500-012-0943-0
Publication status	Published - 2013

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title = "New stability conditions for GRNs with neutral delay",

abstract = "In this paper, the asymptotic stability problem of genetic regulatory networks with time-varying/constant neutral delay is considered. By introducing a new Lyapunov-Krasovskii functional and applying the free weighting matrix technique, sufficient delay-dependent stability conditions are developed and presented in terms of strict linear matrix inequality, which can be easily verified by using the LMI toolbox. Finally, two numerical examples are provided to demonstrate the effectiveness and reduced conservativeness of the proposed algorithm.",

author = "Ticao Jiao and Guangdeng Zong and Zheng, {Wei Xing}",

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doi = "10.1007/s00500-012-0943-0",

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T1 - New stability conditions for GRNs with neutral delay

AU - Jiao, Ticao

AU - Zong, Guangdeng

AU - Zheng, Wei Xing

PY - 2013

Y1 - 2013

N2 - In this paper, the asymptotic stability problem of genetic regulatory networks with time-varying/constant neutral delay is considered. By introducing a new Lyapunov-Krasovskii functional and applying the free weighting matrix technique, sufficient delay-dependent stability conditions are developed and presented in terms of strict linear matrix inequality, which can be easily verified by using the LMI toolbox. Finally, two numerical examples are provided to demonstrate the effectiveness and reduced conservativeness of the proposed algorithm.

AB - In this paper, the asymptotic stability problem of genetic regulatory networks with time-varying/constant neutral delay is considered. By introducing a new Lyapunov-Krasovskii functional and applying the free weighting matrix technique, sufficient delay-dependent stability conditions are developed and presented in terms of strict linear matrix inequality, which can be easily verified by using the LMI toolbox. Finally, two numerical examples are provided to demonstrate the effectiveness and reduced conservativeness of the proposed algorithm.

UR - http://handle.uws.edu.au:8081/1959.7/531171

U2 - 10.1007/s00500-012-0943-0

DO - 10.1007/s00500-012-0943-0

M3 - Article

SN - 1432-7643

VL - 17

SP - 703

EP - 712

JO - Soft Computing

JF - Soft Computing

IS - 4

ER -

New stability conditions for GRNs with neutral delay

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