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Discrete Dynamics in Nature and Society
Volume 2015, Article ID 638420, 7 pages
Research Article

Constrained Controllability of the -Difference Fractional Control Systems with Caputo Type Operator

Bialystok University of Technology, 15-351 Bialystok, Poland

Received 7 April 2015; Revised 18 October 2015; Accepted 20 October 2015

Academic Editor: Alicia Cordero

Copyright © 2015 Ewa Pawluszewicz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The problem of controllability to a given convex target set of linear fractional systems with -difference fractional operator of Caputo type is studied. Necessary and sufficient conditions of controllability with constrained controllers for such systems are given. Problem of approximation of a continuous-time system with Caputo fractional differential by a discrete-time system with -difference fractional operator of Caputo type is discussed.