Stabilization of dynamic-algebraic Boolean control networks via state feedback control. Issue 13 (September 2018)

• Record Type: Journal Article
• Authors: Yang, Xingyue; Chen, Bingquan; Li, Yuanyuan; Liu, Yang; Alsaadi, Fuad E.
• Is Part Of: Journal of the Franklin Institute. Volume 355:Issue 13(2018)
• Page Start: 5520
• Page End: 5533
• Publication Date: 2018-09
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2018.05.049
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: In this paper, we study the state feedback stabilization of dynamic-algebraic Boolean control networks (DABCNs). Using a novel normalization approach, we present necessary and sufficient conditions for the feedback stabilization of DABCNs, and a construction method for the corresponding feedback controllers is proposed. Reduced order feedback stabilization is also studied in this paper. Two examples are given to illustrate the obtained results.