Stability analysis for coupled systems with time delay on networks

Hao Chen and Jitao Sun

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 3, 528-534

Abstract: In this paper, the stability problem for some coupled systems with time delay on networks (CSDNs) is investigated. We provide a systematic method for constructing a global Lyapunov functional for CSDNs by using graph theory. The stability, uniform stability and global uniform stability of the systems are investigated. And by using the Lyapunov functional constructed, some sufficient conditions of stability are obtained.

Keywords: Coupled Systems; Time delay; Networks; Graph theory; Lyapunov functional (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:3:p:528-534

DOI: 10.1016/j.physa.2011.08.037

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