Controllability of state-triggered impulsive logical control networks with input constraints

State-triggered impulsive logical control networks (STILCNs) with input constraints can not only describe the mutation behavior of gene regulatory networks, but also characterize the impact of external environments on them. Under the framework of a hybrid-index model, this paper investigates controllability of STILCNs with input constraints. By using the techniques of input transformation, quotient mapping, and xi-domain construction, the necessary and sufficient conditions for time-domain and hybrid-domain controllability are both derived. Finally, an example is given to demonstrate the correctness and effectiveness of the obtained results.