Solution to the Fractional-Order 2D Continuous Systems Described by the Second Fornasini-Marchesini Model

In this article the fractional-orders continuous 2D (two-dimensional) linear systems described by the state-space equations of the second Fornasini-Marchesini model structure are considered. The state-space equation contains 2D and 1D (one-dimensional) partial fractional-order derivatives described by the Caputo type definition. For this model the general solution formula is derived using 2D Laplace transform method. Finally the internal positivity property of such systems is investigated. The theoretical considerations are illustrated by numerical simulations. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.