Controllability of switched discrete-time fractional order systems with constrained switching sequence

The controllability problem for discrete-time linear fractional switched systems is considered. In the paper, it is assumed that there are some constraints posed on the switching signal. Moreover, a necessary and sufficient conditions of some types of controllability are formulated. Three varieties of controllability, namely: from zero initial state to any final state, from any initial state to zero final state and from any initial state to any final state are considered. At the end, an example is presented.