Subspace controllability of Boolean networks. Issue 6 (1st May 2019)

• Record Type: Journal Article
• Authors: Ji, Zhengping
• Is Part Of: Asian journal of control. Volume 21:Issue 6(2019)
• Page Start: 2521
• Page End: 2531
• Publication Date: 2019-05-01
• Subjects: Boolean control network -- control design -- network transition matrix -- reachability -- semi‐tensor product of matrices -- subspace controllability; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.2095
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: Many Boolean control networks contain independent uncontrollable subnetworks, which may affect other nodes; and the rest of the system is called subspace of sub‐controllable states. This paper investigates the problem of subspace controllability under free input sequences, while the presumption that the initial states of those independent subnetworks are designable is canceled. An algorithm based on the common asymptotic periodic properties of the states is developed to find the reachable sets. Accordingly, the existing controllability criteria for subspaces when initial states of subnetworks are designable is improved, and a necessary and sufficient condition of subspace controllability via subnetworks and free inputs is derived. A design technique involving a kind of newly defined addition is presented to construct desired controls.