A novel approach for positive edge consensus of nodal networks. Issue 7 (May 2020)

• Record Type: Journal Article
• Authors: Cui, Yukang; Yang, Nachuan; Liu, Jason J.R.
• Is Part Of: Journal of the Franklin Institute. Volume 357:Issue 7(2020)
• Page Start: 4349
• Page End: 4362
• Publication Date: 2020-05
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2020.02.054
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: In this paper, we investigate the positive edge consensus of nodal networks with Luenberger observer-based dynamic output-feedback controllers. The line graph of a nodal network, which is used to model the interaction among edges, is directed and assumed to contain a spanning tree. Based on the results in graph theory and positive systems theory, positive edge consensus problem is analyzed and the protocol design condition is given. Moreover, a semi-definite programming algorithm is developed to solve the positive edge consensus problem. Compared with the recent work [24] where the nodal graph is assumed to be strongly connected and balanced, we study the positive edge consensus problem in a more general case, where the line graph is assumed to contain a spanning tree. Finally, the numerical simulations are given to verify the effectiveness of the proposed results.