About: Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and Its Infinite Time Horizon Analysis     Goto   Sponge   NotDistinct   Permalink

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  • The problem of the optimal microalgal growth of the so-called photosynthetic factory (PSF) is considered here. The objective is to maximize the photosynthetic production rate (the specific growth rate of microalgae) by manipulating the irradiance. Using the singular perturbation based reduction, an analytical solution of such an optimal control problem is obtained and its infinite horizon analysis shows that the optimal solution on large time intervals tends to the optimal steady state of PSF. This is a mathematical confirmation of the hypothesis often mentioned in biotechnological literature.
  • The problem of the optimal microalgal growth of the so-called photosynthetic factory (PSF) is considered here. The objective is to maximize the photosynthetic production rate (the specific growth rate of microalgae) by manipulating the irradiance. Using the singular perturbation based reduction, an analytical solution of such an optimal control problem is obtained and its infinite horizon analysis shows that the optimal solution on large time intervals tends to the optimal steady state of PSF. This is a mathematical confirmation of the hypothesis often mentioned in biotechnological literature. (en)
Title
  • Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and Its Infinite Time Horizon Analysis
  • Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and Its Infinite Time Horizon Analysis (en)
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  • Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and Its Infinite Time Horizon Analysis
  • Singular Perturbation Based Solution to Optimal Microalgal Growth Problem and Its Infinite Time Horizon Analysis (en)
skos:notation
  • RIV/61388971:_____/10:00342103!RIV11-GA0-61388971
http://linked.open...avai/riv/aktivita
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  • I, P(GA102/08/0186), S, Z(AV0Z10750506), Z(AV0Z50200510), Z(MSM6007665808)
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  • 3
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  • 287574
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  • RIV/61388971:_____/10:00342103
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  • Photosynthetic factory (PSF); singular perturbation; optimal control (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [90B5224D950A]
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  • IEEE Transactions on Automatic Control
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  • 55
http://linked.open...iv/tvurceVysledku
  • Čelikovský, Sergej
  • Ruiz-León, J.
  • Papáček, Štěpán
  • Cervantes-Herrera, A.
http://linked.open...ain/vavai/riv/wos
  • 000275368100023
http://linked.open...n/vavai/riv/zamer
issn
  • 0018-9286
number of pages
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