On Reachability and Controllability of Positive Discrete-time Switched Linear Systems

Reachability and controllability of positive discrete-time switched linear systems are firstly studied in this paper. First, a theoretic equivalent condition for reachability is addressed. A sufficient condition is also presented, but a counterexample shows that it is not necessary. A verifiable equivalent condition is given for a class of systems. Next, we show that reachability and null controllability is equivalent to complete controllability. A equivalent condition for null controllability is addressed and a verifiable one is given for a class of systems.