Stability and Passivity of Spatially and Temporally Complex Dynamical Networks with Time-Varying Delays. (3rd September 2014)

• Record Type: Journal Article
• Authors: Ren, Shun-Yan; Zhao, Yue-Hui
• Other Names: Yang Zhichun Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2014-09-03
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/412169
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper proposes a new complex dynamical network model, in which the state, input, and output variables are varied with the time and space variables. By utilizing the Lyapunov functional method combined with the inequality techniques, several criteria for passivity and global exponential stability are established. Finally, numerical simulations are given to illustrate the effectiveness of the obtained results.