Global exponential stability for coupled retarded systems on networks: A graph-theoretic approach

• DOI: 10.1016/j.cnsns.2013.09.039
• Publication Date: 2013-10-10T03:15:18Z
• Authors: Wenxue Li; Hongwei Yang; Liang Wen; Ke Wang
• Keywords: 0101 mathematics; 01 natural sciences

Abstract In this paper, some coupled retarded systems on networks (CRSNs) are studied. Applying the idea of Razumikhin method and Mirchhoff’s matrix tree theorem, the sufficient conditions for global exponential stability of the CRSNs are obtained. Finally, an example of coupled retarded oscillator system on networks is given to illustrate the advantages of our results.