EXISTENCE OF OPTIMAL SOLUTIONS TO LAGRANGE PROBLEM FOR A FRACTIONAL NONLINEAR CONTROL SYSTEM WITH RIEMANN-LIOUVILLE DERIVATIVE

摘要

In the paper, a nonlinear control system containing the Riemann-Liouville derivative of order alpha is an element of(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.