We consider a conflict-controlled dynamical system described by a nonlinear ordinary fractional differential equation with the Caputo derivative of an order α ∈ (0, 1). Basing on the finite-difference Gr¨unwald-Letnikov formulas, we propose an approximation of the considered system by a system described by a functional-differential equation of a retarded type. A mutual aiming procedure between the initial conflict-controlled system and the approximating system is given that guarantees the desired proximity between their motions. This procedure allows to apply, via the approximating system, the results obtained for functional-differential systems for solving control problems in fractional order systems. Examples are considered, results of numerical simulations are presented.
Digital Object Identifier (DOI)
"Approximation of Fractional Order Conflict-Controlled Systems,"
Progress in Fractional Differentiation & Applications: Vol. 5:
2, Article 5.
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol5/iss2/5