Conditional optimization problems: fractional order case
This paper considers a dynamical system described by a Riemann-Liouville derivative in which the system memory is in general different with respect to the initial time of Hamiltonian action, a fractional order performance index (objective function) with an arbitrary order and fractional differential and isoperimetric constraints. The optimization problem has been divided into two parts: the first one containing the fractional differential constraints, and the second one dealing with fractional integral constraints. The fractional order integration by parts formula played a key role in both cases in finding the corresponding necessary optimality conditions. A simple illustrative example is provided.
scientific article; zbMATH DE number 6161516
scientific article