English

Fractional-Order State Space Models

Optimization and Control 2007-05-23 v1

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 fractional-order system. Some implications concerning the state feedback control theory are discussed. Presented are the results of simulations.

Keywords

Cite

@article{arxiv.math/0204193,
  title  = {Fractional-Order State Space Models},
  author = {L. Dorcak and I. Petras and I. Kostial and J. Terpak},
  journal= {arXiv preprint arXiv:math/0204193},
  year   = {2007}
}

Comments

PDF Version 1.3, 6 pages, 2 figures