Controllability of fractional linear switched systems with delays for the fixed sequence

In the paper unconstrained controllability problem of discrete-time linear switched fractional order systems with fixed sequence is addressed. We show the solution of discrete-time switched fractional order system with p delays. Additionally, a transition matrix of switched fractional systems with delays is given. A sufficient condition for unconstrained controllability in a given steps is formulated and proved by the general formula of difference state equation solution. Finally, an illustrative example is shown.