On robust control invariance and robust set stabilization of mix-valued logical control networks

This article investigates the robust control invariance and robust set stabilization problems based on a semi-tensor product method for a class of mix-valued logical control networks (MVLCNs) with disturbances. First, a calculation method for the largest robust control invariant subset contained in a given set is proposed. Second, based on the robust control invariant subset, the robust set stabilization of MVLCNs is discussed, and new results are presented. Furthermore, the design algorithm of time-optimal state feedback stabilizers via antecedence solution technique is derived. The study of an illustrative example shows the effectiveness of the obtained new results.