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Analytical form of optimal control and reachability sets in a resource allocation problem

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Publication:1037030
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DOI10.1007/S10598-008-9008-8zbMath1175.49021OpenAlexW1995914270MaRDI QIDQ1037030

S. N. Avvakumov, Yu. N. Kiselev, Michael Orlov

Publication date: 13 November 2009

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10598-008-9008-8


zbMATH Keywords

Pontryagin's maximum principleresource allocation problemreachability setanalytical form of optimal control


Mathematics Subject Classification ID

Controllability (93B05) Application models in control theory (93C95) Control/observation systems governed by ordinary differential equations (93C15) Resource and cost allocation (including fair division, apportionment, etc.) (91B32) Optimality conditions for problems involving ordinary differential equations (49K15)


Related Items (2)

The least root of a continuous function ⋮ Optimal modes in a multidimensional model of economic growth




Cites Work

  • Some algorithms of optimal control
  • Unnamed Item




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