FRACTIONAL-ORDER STATE SPACE MODELS

Abstract

Abstract: 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 fractionalorder system. Some implications concerning the state feedback control theory are discussed. Presented are the results of simulations. Key words: fractional-order system, state space model, initialization problem