Robust stability for discrete-time stochastic genetic regulatory networks

DOI10.1016/j.nonrwa.2011.03.008zbMath1223.93094OpenAlexW1963928773MaRDI QIDQ635217

Shengyuan Xu, Qian Ma, Yun Zou, Jin-Jun Lu

Publication date: 19 August 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.03.008

zbMATH Keywords

linear matrix inequalitiesrobust stabilitydiscrete-timegenetic regulatory networks

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Robust stability (93D09) Stochastic systems in control theory (general) (93E03)

Related Items (11)

Set-values filtering for discrete time-delay genetic regulatory networks with time-varying para\-meters ⋮ Robust stabilization for uncertain singular Markovian jump systems via dynamic output-feedback control ⋮ Stability analysis for genetic regulatory networks with delays: the continuous-time case and the discrete-time case ⋮ Stability Analysis and Bifurcation Control of a Delayed Incommensurate Fractional-Order Gene Regulatory Network ⋮ Robust state estimation for discrete-time genetic regulatory networks with randomly occurring uncertainties ⋮ \(H_\infty\) filtering for discrete-time genetic regulatory networks with random delay described by a Markovian chain ⋮ Hybrid control on bifurcation for a delayed fractional gene regulatory network ⋮ Global Exponential Stability Analysis of Discrete‐Time Genetic Regulatory Networks with Time Delays ⋮ Stochastic stability analysis of switched genetic regulatory networks without stable subsystems ⋮ Robust stability, stabilization, and \(H_{\infty}\) control of a class of nonlinear discrete time stochastic systems ⋮ New stability criterion for discrete-time genetic regulatory networks with time-varying delays and stochastic disturbances

Cites Work

• Stochastic stability of Markovian switching genetic regulatory networks
• Stability analysis of delayed genetic regulatory networks with stochastic disturbances
• Discrete-time BAM neural networks with variable delays
• Robust exponential stability analysis for stochastic genetic networks with uncertain parameters
• Exponential stability criteria for discrete-time recurrent neural networks with time-varying delay
• Exponential stability of continuous-time and discrete-time cellular neural networks with delays
• Modeling genetic switches with positive feedback loops
• The asymptotical behavior of cyclic genetic regulatory networks
• RobustH_∞filtering for uncertain discrete piecewise time-delay systems
• Stability of Genetic Networks With SUM Regulatory Logic: Lur'e System and LMI Approach
• On the dynamics of a gene regulatory network
• Stability of genetic regulatory networks with time delay

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