Robust stability of stochastic genetic regulatory networks with discrete and distributed delays

DOI10.1007/S00500-009-0417-1zbMath1176.92021OpenAlexW2072981467MaRDI QIDQ1034779

Zhengxia Wang, Xiaofeng Liao, Jiali Mao, Guodong Liu

Publication date: 6 November 2009

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-009-0417-1

zbMATH Keywords

uncertain systemrobust stabilityLMIdistributed delaysstochastic perturbationgenetic network

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Robust stability (93D09) Stability theory of functional-differential equations (34K20) Biochemistry, molecular biology (92C40) Genetics and epigenetics (92D10) Systems biology, networks (92C42)

Related Items (10)

Global dissipativity of fuzzy genetic regulatory networks with mixed delays ⋮ \(H_\infty \) state estimation of stochastic neural networks with mixed time-varying delays ⋮ Comment on: ``Robust stability of stochastic genetic regulatory networks with discrete and distributed delays ⋮ Delay-dependent global asymptotic stability criteria for stochastic genetic regulatory networks with Markovian jumping parameters ⋮ A less conservative stability criterion for delayed stochastic genetic regulatory networks ⋮ Stability and global dissipativity for neutral-type fuzzy genetic regulatory networks with mixed delays ⋮ Stability of genetic networks with hybrid regulatory mechanism ⋮ Passivity analysis for stochastic Markovian switching genetic regulatory networks with time-varying delays ⋮ Delay-probability-distribution-dependent stability of uncertain stochastic genetic regulatory networks with mixed time-varying delays: an LMI approach ⋮ Mode-dependent \(H_\infty\) filtering for stochastic Markovian switching genetic regulatory networks with leakage and time-varying delays

Uses Software

• LMI toolbox

Cites Work

• Unnamed Item
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• Stochastic approaches for modelling in vivo reactions
• Linear Matrix Inequalities in System and Control Theory
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• Stability of Genetic Networks With SUM Regulatory Logic: Lur'e System and LMI Approach
• DELAY-DEPENDENT AND DELAY-INDEPENDENT STABILITY CRITERIA FOR CELLULAR NEURAL NETWORKS WITH DELAYS
• Stability of genetic regulatory networks with time delay
• LMI-based approach for asymptotically stability analysis of delayed neural networks

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