Global Mittag–Leffler stability of coupled system of fractional-order differential equations on network

Hong-Li Li, Yao-Lin Jiang, Zuolei Wang, Long Zhang and Zhidong Teng

Applied Mathematics and Computation, 2015, vol. 270, issue C, 269-277

Abstract: This paper investigates the global Mittag–Leffler stability of coupled system of fractional-order differential equations on network (CSFDEN). By using graph theory and the Lyapunov method, we provide a method for constructing a global Lyapunov function for CSFDEN. Consequently, several sufficient conditions are obtained to ensure the Mittag–Leffler stability of CSFDEN. These criteria have a close relation to the topology property of the network. Finally, a numerical example is presented to demonstrate the validity and feasibility of the theoretical result.

Keywords: Global Mittag–Leffler stability; Fractional-order differential equations; Coupled system on network; Lyapunov function (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (13)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S009630031501098X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:269-277

DOI: 10.1016/j.amc.2015.08.043

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().