Controllability and Reachability of k-valued Logical Control Networks with Time Delays in States

This paper investigates controllability and reachability of k-valued logical control networks (k-VLCNs) with time-invariant delays in states, which can be transformed into the algebraic forms based on Cheng product. First, some concepts of controllability and reachability of k-VLCNs with time-invariant delays in states are proposed. Second, some necessary and sufficient conditions for controllability and reachability are derived. Finally, an example is introduced to show the efficiency of the main results.