Optimal control problems with a fixed terminal time in linear fractional-order systems

The paper deals with an optimal control problem in a dynamical system described by linear differential equation the Caputo fractional derivative. goal of is to minimize Bolza-type cost functional, which consists two terms: first one evaluates state at fixed terminal time, and second integral evaluation on whole time interval. In order solve this problem, we propose reduce it some auxiliary first-order ordinary equation. reduction based representation formula for solutions equations performed transformation, called informational image position original can be treated as special prediction motion time. A connection between problems established both open-loop feedback (closed-loop) controls. results obtained are illustrated examples.