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Session 8. Dynamic Systems with Fractional and Time Scale Derivatives
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Existence of optimal solutions
to fractional nonlinear optimal control problem
with Riemann-Liouville derivative
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Rafał Kamocki, University of Łódź, Poland
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The talk is based on the joint work with Dariusz Idczak.
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In the paper, a nonlinear control system containing the Riemann-Liouville derivative of order \(\alpha\in (0,1)\)
with a nonlinear integral performance index is studied.
We discuss the existence of optimal solutions to such problem under a some convexity assumptions. Our study relies on the implicit function theorem for multivalued mappings.
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