Robust set stability of large-scale Boolean networks with disturbance via network aggregation

Abstract

This paper explores the robust set stability problem of large-scale Boolean networks (BNs) with disturbances by resorting to the network aggregation method. Firstly, the network graph of large-scale BNs is partitioned into several small subnetworks, which converts the robust set stability of large-scale BNs into the (robust) set stability of subnetworks under arbitrary switching signal. Secondly, by perceiving the input nodes from other subnetworks as a switching signal, several new criteria are proposed for the robust set stability of each subnetwork with disturbance inputs under arbitrary switching signal. Finally, by combining the (robust) set stability of all subnetworks, the robust set stability of large-scale BNs with disturbance inputs is discussed. Moreover, as an application, the robust partial stability of large-scale BNs is considered.