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Existence of optimal solutions to lagrange problem for a fractional nonlinear control system with riemann-liouville derivative

  • * Corresponding author: Rafał Kamocki

    * Corresponding author: Rafał Kamocki
The project was financed with funds of National Science Centre, granted on the basis of decision DEC-2011/01/B/ST7/03426.
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  • In the paper, a nonlinear control system containing the Riemann-Liouville derivative of order $α∈(0, 1)$ with a nonlinear integral performance index is studied. We discuss the existence of optimal solutions to such problem under some convexity assumption. Our study relies on the implicit function theorem for multivalued mappings.

    Mathematics Subject Classification: Primary: 26A33; Secondary: 49J15.


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