Fractional-Order State Space Models
  In this paper we will present some alternative types of mathematical description and methods of solution of the fractional-order dynamical system in the state space. We point out the difference in the true sense of the name "state" space for the integer-order and fractional-order system and the importance of the initialization function for the fractional-order system. Some implications concerning the state feedback control theory are discussed. Presented are the results of simulations. 
L. Dorcak, I. Petras, I. Kostial, J. Terpak (Technical University of   Kosice)