Conservation of Total-Activity-Degree for Mix-Valued Logical Networks

This brief addresses the conservation of total-activity-degree for mix-valued logical networks (MVLNs) via the algebraic state space representation method. With the aid of total-activity-degree vector, a criterion is proposed for verifying the conservation of total-activity-degree for MVLNs. Besides, the effect of deterministic function perturbations on the conservation of total-activity-degree for MVLNs is explored, and the corresponding criterion is established for the robust conservation of total-activity-degree.