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 |
