Reachability and controllability to zero of cone fractional linear systems. (English) Zbl 1152.93393
Summary: A new class of cone fractional linear discrete-time systems is introduced. Necessary and sufficient conditions for the reachability and controllability to zero of the cone fractional systems are established.
MSC:
93C05 | Linear systems in control theory |
93B03 | Attainable sets, reachability |
93B05 | Controllability |
93C55 | Discrete-time control/observation systems |
26A33 | Fractional derivatives and integrals |
15B48 | Positive matrices and their generalizations; cones of matrices |