Structural Controllability of Boolean Control Networks under Partial Information. (30th June 2021)

• Record Type: Journal Article
• Authors: Pan, Qinyao; Zhong, Jie; Tong, Shalin; Li, Bowen; Liu, Xiaoxu
• Other Names: Li Xiaodi Academic Editor.
• Is Part Of: Complexity. Volume 2021(2021)
• Publication Date: 2021-06-30
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2021/9442358
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : It is worth noting that both nodes' coupling connections and logical updating functions play a vital role in state evolutions of Boolean networks (BNs). In this paper, a new concept named structural controllability (SC) about Boolean control networks (BCNs) with known partial information on nodes' connections is studied. Then, by referring to semi-tensor product (STP) techniques, several types of SC are presented according to different issues of Boolean functions. Thereafter, several necessary and sufficient conditions are derived for SC of BCNs. Finally, a biological model of the lactose operon in Escherichia coli is simulated to show the effectiveness of the main theoretical results.