Investigation of optimal control problem for single and double integrators of fractional order using the problem of moments approach

The paper proposes the statement of optimal control problem for two dynamical systems of fractional order: single and double integrators. The problem is reduced to problem of moments. Basic equations and formula obtained which allow to derive the problem solution. Dependencies of control norm and minimal transition time from order of fractional derivative are investigated. Comparative analysis of results for both of considered systems is carried out.