Decomposition of the pairs (A, B) and (A, C) of positive discrete-time linear systems
Tadeusz Kaczorek · Archives of Control Sciences · 2010
Decomposition of the pairs (A, B) and (A, C) of positive discrete-time linear systems A new test for checking the reachability (observability) of positive discrete-time linear systems is proposed. Conditions are established under which the unreachable pair (A, B) and the unobservable pair (A, C) of positive discrete-time system can be decomposed into reachable and unreachable parts and observable and unobservable parts, respectively. It is shown that the transfer matrix of the positive system is equal to the transfer matrix of its reachable (observable) part.