Stabilization of k-valued logical control networks by open-loop control via the reverse-transfer method

Abstract A reverse-transfer method is proposed to study the stabilization problem of k -valued logical control networks (LCNs). Main results consist of two parts. (1) Two necessary and sufficient stabilization conditions are derived for k -valued LCNs. The stabilization results are much superior to the existing relevant results in the literature. (2) Based on the above conditions, some algorithms for solving the open-loop stabilization problem of k -valued LCNs are developed. These algorithms cut useless control paths off as many as possible, which, compared with existing results, reduce the related computational cost markedly.