A three-dimensional finite element model for the control of certain non-linear bioreactors

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1099-1476(20000310)23:4<357::AID-MMA118>3.0.CO;2-B" /><357::AID-MMA118>3.0.CO;2-B 10.1002/(SICI)1099-1476(20000310)23:4<357::AID-MMA118>3.0.CO;2-BzbMath0982.76065OpenAlexW2038993876MaRDI QIDQ4949168

P. J. Vauhkonen, Marko Vauhkonen, Jari P. Kaipio, Jouko Tervo

Publication date: 8 April 2002

Full work available at URL: https://doi.org/10.1002/(sici)1099-1476(20000310)23:4<357::aid-mma118>3.0.co;2-b

zbMATH Keywords

closed-loop systemfinite element approximationfeedback linearizationasymptotic output trackingthree-dimensional modeloutput functionevolution of open-loop control systemnonlinear distributed parameter fixed-bed bioreactor

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Biomechanics (92C10) Finite element methods applied to problems in fluid mechanics (76M10) Physiological flows (76Z05)

Related Items (1)

Exponential stability of a nonlinear distributed parameter system

Cites Work

• Galerkin finite element methods for parabolic problems
• Error estimates for semidiscrete Galerkin type approximations to semilinear evolution equations with nonsmooth initial data
• Low-Gain Control of Uncertain Regular Linear Systems
• Sufficient Conditions for Dynamic State Feedback Linearization
• Necessary conditions for asymptotic tracking in nonlinear systems
• An FEM Scheme of a PDE System from Bioreactor Theory with Stability Results

This page was built for publication: A three-dimensional finite element model for the control of certain non-linear bioreactors