Stability and stabilization of multivalued logical networks

In this paper, the stability and stabilization of a class of kk-valued logical networks are discussed. A new matrix product, called the semi-tensor product of matrices is reviewed first. After giving a brief introduction on semi-tensor product approach to kk-valued logical networks, the stability and stabilization of kk-valued logical networks are investigated. Some conditions of the stability and stabilization via two kinds of controls are proved. Finally, examples are presented to show the effectiveness of the proposed results.