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Different interpretations of the improper integral objective in an infinite horizon control problem
Authors:Valeriya Lykina
Affiliation:Cottbus University of Technology, Institute of Mathematics, POB 101344, D-03013 Cottbus, Germany
Abstract:
We provide an example of a convex infinite horizon problem with a linear objective functional where the different interpretations of the improper integral View the MathML source in either Lebesgue or Riemann sense lead to different but finite optimal values.
Keywords:Optimal control   Infinite horizon   Convex problem   Lebesgue integral   Improper Riemann integral
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