Robust stability analysis of gene-protein regulatory networks with cyclic activation-repression interconnections

DOI10.1016/j.sysconle.2011.03.003zbMath1225.93088OpenAlexW2132820253MaRDI QIDQ547921

Yutaka Hori, Tae-Hyoung Kim, Shinji Hara

Publication date: 27 June 2011

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.03.003

zbMATH Keywords

robust stabilitygene-protein regulatory networksgeneralized frequency variablematrices with cyclic structure

Mathematics Subject Classification ID

Robust stability (93D09) Control problems involving ordinary differential equations (34H05) Genetics and epigenetics (92D10)

Related Items (7)

Global uniform asymptotical stability for fractional-order gene regulatory networks with time-varying delays and structured uncertainties ⋮ Robust stability analysis of LTI systems with fractional degree generalized frequency variables ⋮ Finite-time stability of fractional-order time-varying delays gene regulatory networks with structured uncertainties and controllers ⋮ Existence criteria of periodic oscillations in cyclic gene regulatory networks ⋮ Robust stability analysis of gene-protein regulatory networks with cyclic activation-repression interconnections ⋮ Robust and nonlinear control literature survey (No. 25) ⋮ Stability and Bifurcation Analysis of Cyclic Genetic Regulatory Networks with Mixed Time Delays

Cites Work

• Robust stability analysis of gene-protein regulatory networks with cyclic activation-repression interconnections
• Existence criteria of periodic oscillations in cyclic gene regulatory networks
• A passivity-based stability criterion for a class of biochemical reaction networks
• The secant condition for instability in biochemical feedback control. I: The role of cooperativity and saturability
• Stability and robust stability of uniform systems
• Passivity gains and the ``secant condition for stability
• Global asymptotic stability of certain models for protein synthesis and repression
• Stability of genetic regulatory networks with time delay

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