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

Hong Li Li; Yao Lin Jiang; Zuolei Wang; Long Zhang; Zhidong Teng

doi:10.1016/j.amc.2015.08.043

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

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

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

81 Scopus citations

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.

Original language	English
Pages (from-to)	269-277
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	270
DOIs	https://doi.org/10.1016/j.amc.2015.08.043
State	Published - 1 Nov 2015

Keywords

Coupled system on network
Fractional-order differential equations
Global Mittag-Leffler stability
Lyapunov function

Access to Document

10.1016/j.amc.2015.08.043

Cite this

@article{647ea12431fc4726bbe531d63756d007,

title = "Global Mittag-Leffler stability of coupled system of fractional-order differential equations on network",

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 = "Coupled system on network, Fractional-order differential equations, Global Mittag-Leffler stability, Lyapunov function",

author = "Li, \{Hong Li\} and Jiang, \{Yao Lin\} and Zuolei Wang and Long Zhang and Zhidong Teng",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2015",

month = nov,

day = "1",

doi = "10.1016/j.amc.2015.08.043",

language = "英语",

volume = "270",

pages = "269--277",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

}

TY - JOUR

T1 - Global Mittag-Leffler stability of coupled system of fractional-order differential equations on network

AU - Li, Hong Li

AU - Jiang, Yao Lin

AU - Wang, Zuolei

AU - Zhang, Long

AU - Teng, Zhidong

PY - 2015/11/1

Y1 - 2015/11/1

N2 - 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.

AB - 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.

KW - Coupled system on network

KW - Fractional-order differential equations

KW - Global Mittag-Leffler stability

KW - Lyapunov function

UR - https://www.scopus.com/pages/publications/84941550217

U2 - 10.1016/j.amc.2015.08.043

DO - 10.1016/j.amc.2015.08.043

M3 - 文章

AN - SCOPUS:84941550217

SN - 0096-3003

VL - 270

SP - 269

EP - 277

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this