Mean square exponential stability of stochastic genetic regulatory networks with time-varying delays

DOI10.1016/j.ins.2010.10.007zbMath1209.93160OpenAlexW2014182548MaRDI QIDQ632782

Haixia Wu, Xiaofeng Liao, Zhengxia Wang, Song-Tao Guo

Publication date: 28 March 2011

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2010.10.007

zbMATH Keywords

linear matrix inequalitiesexponential stabilitystochastic analysistime-varying delaysgenetic regulatory networks

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Stochastic stability in control theory (93E15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (6)

Exponential stability of impulsive stochastic genetic regulatory networks with time-varying delays and reaction-diffusion ⋮ Finite time synchronization of stochastic Markovian jumping genetic oscillator networks with time-varying delay and Lévy noise ⋮ Stability analysis for genetic regulatory networks with delays: the continuous-time case and the discrete-time case ⋮ Exponential state estimation of Markovian jumping genetic regulatory networks with mode-dependent probabilistic time-varying delays ⋮ Novel delay-dependent stability criterion for time-varying delay systems with parameter uncertainties and nonlinear perturbations ⋮ Stability analysis of delayed genetic regulatory networks via a relaxed double integral inequality

Cites Work

• Mean square exponential stability of uncertain stochastic delayed neural networks
• An LMI approach to asymptotical stability of multi-delayed neural networks
• Stochastic delay differential equations for genetic regulatory networks
• Stability analysis of uncertain genetic sum regulatory networks
• New results on delay-dependent robust stability criteria of uncertain fuzzy systems with state and input delays
• Modeling genetic switches with positive feedback loops
• Stochastic stability of uncertain Hopfield neural networks with discrete and distributed delays
• Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays
• Exponential stability for impulsive BAM neural networks with time-varying delays and reaction-diffusion terms
• Exponential stability of uncertain stochastic neural networks with mixed time-delays
• \(p\)th moment stability analysis of stochastic recurrent neural networks with time-varying delays
• Stochastic approaches for modelling in vivo reactions
• Computing Equilibrium Points of Genetic Regulatory Networks
• Linear Matrix Inequalities in System and Control Theory
• Novel robust stability criteria for interval-delayed Hopfield neural networks
• 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
• Stochastic differential equations. An introduction with applications.

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