Controllability of discrete-time switched fractional order systems

In the article unconstrained controllability problem of discrete-time switched fractional order systems is addressed. A solution of discrete-time switched fractional order state equation is presented. Additionally, a transition matrix of considered dynamical systems is given. A sufficient condition for unconstrained controllability in a given time interval is formulated and proved by the general formula of difference state equation solution. At the end, an illustrative example is also shown.