Output tracking of probabilistic Boolean networks by output feedback control

摘要

In this paper, we deal with the output tracking of probabilistic Boolean control networks (PBCNs) via output feedback control. Firstly, the algebraic representation of PBCNs is obtained by resorting to semi-tensor product (STP) technique. Then, a novel notion, named as output feedback based control invariant set (OFBCIS), is offered. Meanwhile, an algorithm is developed to find all OFBCISs in a given set. Consequently, some necessary and sufficient conditions are derived for the solvability of output tracking problem under output feedback control. Besides, all feasible output feedback laws are solved by another constructed algorithm. Finally, two numerical examples are exhibited to illustrate the effectiveness of the theoretic results. (C) 2019 Elsevier Inc. All rights reserved.