Constrained Controllability of h-Difference Linear Systems with Two Fractional Orders

The problem of controllability in finite number of steps with control constrains of h-difference linear control systems with two fractional orders is studied. There are considered systems with the Caputo type h-difference operators and with controls which values are from a given convex and bounded subset of the control space. Necessary and sufficient conditions for constrained controllability in finite number of steps are given.

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