Stabilization of bilinear sparse matrix control systems using periodic inputs. (March 2017)

• Record Type: Journal Article
• Authors: Gharesifard, Bahman
• Is Part Of: Automatica. Volume 77(2017)
• Page Start: 239
• Page End: 245
• Publication Date: 2017-03
• Subjects: Network control systems -- Decentralized control -- Sparse matrix systems; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2016.11.028
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: In this brief paper, using results from the theory of averaging of bilinear systems, we provide a graph theoretic characterization for the existence of periodic control inputs that stabilize a sparse matrix system to the origin. In particular, we introduce a class of extensions to the directed graph corresponding to a given sparse matrix system, which when contains a stable sparse matrix system implies that the original system is stabilizable using periodic inputs. When this condition holds, we provide a systematic procedure for designing such controllers. Our technical approach combines ideas from the theory of bilinear control systems and averaging theory with graph theoretic results.