Stability of Systems with Stochastic Delays and Applications to Genetic Regulatory Networks

DOI10.1137/15M1031965zbMath1353.37106OpenAlexW2531373463WikidataQ41723557 ScholiaQ41723557MaRDI QIDQ2826315

Richard M. Murray, Marcella M. Gomez, Matthew R. Bennett, Gábor Orosz, Mehdi Sadeghpour

Publication date: 14 October 2016

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1031965

zbMATH Keywords

stabilitygenetic networksstochastic delay

Mathematics Subject Classification ID

Generation, random and stochastic difference and differential equations (37H10) Systems biology, networks (92C42)

Related Items

Can a finite number of discrete delays approximate stochastic delay? ⋮ On the moment dynamics of stochastically delayed linear control systems

Uses Software

• DDE-BIFTOOL
• PDDE-CONT
• Knut

Cites Work

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• Semi-discretization for time-delay systems. Stability and engineering applications.
• Stability of stochastic delay hybrid systems with jumps
• State-dependent delay in regenerative turning processes
• Stability analysis of systems with stochastically varying delays
• Stochastic delay differential equations for genetic regulatory networks
• The Poincaré-Bendixson theorem for monotone cyclic feedback systems
• Stability of functional differential equations
• The relative variance criterion for stability of delay systems
• Stabilization of partial differential equations by noise
• Delay equations. Functional-, complex-, and nonlinear analysis
• Noise-induced global asymptotic stability.
• Stability of hybrid stochastic systems with time-delay
• Approximate stability charts for milling processes using semi-discretization
• Biomolecular Feedback Systems
• Controlling biological networks by time-delayed signals
• Applied Probability and Stochastic Processes
• Stabilization of Linear Systems by Noise
• On Perturbation of the Kernel in Infinite Delay Systems
• A delay-dependent stability criterion for systems with uncertain time-invariant delays
• Stabilization of dynamical systems by adding a colored noise
• Semi-discretization method for delayed systems
• Stability of Networked Control Systems With Uncertain Time-Varying Delays
• Exponential stability of stochastic delay interval systems with Markovian switching
• Stabilization of time-delay systems with a Controlled time-varying delay and applications
• Stability Theory of Hybrid Dynamical Systems With Time Delay
• New Results on Stability of Discrete-Time Systems With Time-Varying State Delay
• Applied Delay Differential Equations
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
• Stability Analysis of Turning With Periodic Spindle Speed Modulation Via Semidiscretization
• On the stability in first approximation of systems with random lag
• An Introduction to Delay Differential Equations with Applications to the Life Sciences