Asymptotic stability of Markovian switching genetic regulatory networks with leakage and mode-dependent time delays

DOI10.1016/j.jfranklin.2016.01.015zbMath1336.93164OpenAlexW2286065661MaRDI QIDQ285772

F. Blanchet-Sadri, M. Dambrine

Publication date: 19 May 2016

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2016.01.015

zbMATH Keywords

asymptotic stabilityBrownian motionsMarkovian switching genetic regulatory networksmode-dependent time delays

Mathematics Subject Classification ID

Brownian motion (60J65) Asymptotic stability in control theory (93D20) Stochastic stability in control theory (93E15)

Related Items (14)

Event-triggered sliding mode control for switched genetic regulatory networks with persistent dwell time ⋮ Finite-time stabilization of stochastic coupled systems on networks with Markovian switching via feedback control ⋮ Robust uniform stability criteria for fractional‐order gene regulatory networks with leakage delays ⋮ Finite‐time stabilization of Markovian switched stochastic high‐order nonlinear systems with inverse dynamics ⋮ Stability and bifurcation of delayed bidirectional gene regulatory networks with negative feedback loops ⋮ Stability analysis for discrete-time switched GRNs with persistent dwell-time and time delays ⋮ Stability and bifurcation of delay-coupled genetic regulatory networks with hub structure ⋮ Existence of solutions and finite-time stability for nonlinear singular discrete-time neural networks ⋮ Stochastic stability analysis of switched genetic regulatory networks without stable subsystems ⋮ Dynamic output feedback control of discrete-time switched GRNs with time-varying delays ⋮ State feedback for set stabilization of Markovian jump Boolean control networks ⋮ Finite-time robust stability of uncertain genetic regulatory networks with time-varying delays and reaction-diffusion terms ⋮ Delayed fuzzy genetic regulatory networks: Novel results ⋮ Global exponential convergence of neutral-type competitive neural networks with multi-proportional delays, distributed delays and time-varying delay in leakage delays

Cites Work

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• Exponential $H_{\infty}$ Filtering for Singular Markovian Jump Systems With Mixed Mode-Dependent Time-Varying Delay
• Stability of genetic regulatory networks with time delay
• Exponential stability for delayed stochastic bidirectional associative memory neural networks with Markovian jumping and impulses

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