Efficient decomposition of singularly perturbed systems

DOI10.1051/mmnp/2019023zbMath1466.34055OpenAlexW2957813107WikidataQ127517690 ScholiaQ127517690MaRDI QIDQ5229664

Vladimir Sobolev

Publication date: 16 August 2019

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://www.mmnp-journal.org/10.1051/mmnp/2019023/pdf

zbMATH Keywords

decompositionsingular perturbationsenzyme kineticsintegral manifolds

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15)

Cites Work

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• A periodic singularly perturbed problem for the matrix Riccati equation
• Regularization of cheap periodic control problems
• Tracking performance of a high-gain observer in the presence of measurement noise
• Exact slow-fast decomposition of a class of non-linear singularly perturbed optimal control problems via invariant manifolds

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