Robust Set Controllability of Logical Control Networks: A Set Monotonicity Approach

Abstract

Set controllability is a powerful tool to solve several issues of logical control networks (LCNs), including observability, set stabilization, output regulation, and synchronization. This article explores the robustness of set controllability for LCNs subject to function perturbation. Two perturbation sets, called decreasing reachable pair set and increasing reachable pair set, are constructed to characterize the change of set controllability index sets. Based on the perturbation sets, several criteria are established for the robustness of set controllability. As applications, the robust observability and robust output regulation of LCNs with function perturbation are discussed.