On stabilization and set stabilization of multivalued logical systems

The stabilization and set stabilization of a multivalued logical system are investigated in this paper by using pinning control. First, new algorithms are presented to redesign the transition matrix of the multivalued logical system such that the system is stable or set stable. Then, by using reconstruction theory of a k-valued logical system, the pinning nodes are selected. In addition, the transition matrix of the pinning control is given by solving some logical matrix equations. Then, a pinning control design algorithm is provided. Finally, an example is employed to illustrate the proposed control design procedure.