Robust stability and instability of biochemical networks with parametric uncertainty

DOI10.1016/j.automatica.2011.01.012zbMath1235.93198OpenAlexW2097050513WikidataQ59049813 ScholiaQ59049813MaRDI QIDQ665136

Frank Allgöwer, Steffen Waldherr

Publication date: 5 March 2012

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2011.01.012

zbMATH Keywords

bifurcation analysispolynomial programminganalysis of systems with uncertaintiesbiochemical network dynamics

Mathematics Subject Classification ID

Robust stability (93D09)

Related Items (6)

Algorithmic asymptotic analysis of the NF-\(\kappa\mathrm B\) signaling system ⋮ Structural analysis in biology: a control-theoretic approach ⋮ Vertex results for the robust analysis of uncertain biochemical systems ⋮ Robust stability and stabilisation of Boolean networks with disturbance inputs ⋮ Routes to multiple equilibria for mass-action kinetic systems ⋮ Absolute instability of Lur'e systems and its application to oscillation analysis of uncertain genetic networks

Uses Software

• AUTO
• SeDuMi

Cites Work

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• Representing polynomials by positive linear functions on compact convex polyhedra
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• Modeling and Simulating Chemical Reactions
• Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
• Searching bifurcations in high-dimensional parameter space via a feedback loop breaking approach
• Elements of applied bifurcation theory

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