New stability criterion of fractional-order impulsive coupled non-autonomous systems on networks

Hui Li; Hong Li Li; Yong Gui Kao

doi:10.1016/j.neucom.2020.03.001

New stability criterion of fractional-order impulsive coupled non-autonomous systems on networks

Hui Li
, Hong Li Li
, Yong Gui Kao^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai
Xinjiang University

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

11 Scopus citations

Abstract

This paper explores stability of new fractional-order impulsive coupled (FOIC) non-autonomous systems on networks. By utilizing graph theory and structuring individual vertex's Lyapunov function, a systematic method is present to construct global Lyapunov functions of FOIC systems. By Lyapunov method, a new inequality as well as the graph theory, several new stable principles are derived based on the strongly connected property. Besides, several more general criteria are obtained by utilizing these principles to the FOIC systems, including uniform stability, exponential stability and Mittag-Leffler stability for a kind of FOIC systems. At last, a numerical example is provided to show the effectiveness of our findings.

Original language	English
Pages (from-to)	91-100
Number of pages	10
Journal	Neurocomputing
Volume	401
DOIs	https://doi.org/10.1016/j.neucom.2020.03.001
State	Published - 11 Aug 2020
Externally published	Yes

Keywords

Exponential stability
Impulsive coupled systems
Lyapunov function
Mittag-Leffler stability
Networks

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10.1016/j.neucom.2020.03.001

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title = "New stability criterion of fractional-order impulsive coupled non-autonomous systems on networks",

abstract = "This paper explores stability of new fractional-order impulsive coupled (FOIC) non-autonomous systems on networks. By utilizing graph theory and structuring individual vertex's Lyapunov function, a systematic method is present to construct global Lyapunov functions of FOIC systems. By Lyapunov method, a new inequality as well as the graph theory, several new stable principles are derived based on the strongly connected property. Besides, several more general criteria are obtained by utilizing these principles to the FOIC systems, including uniform stability, exponential stability and Mittag-Leffler stability for a kind of FOIC systems. At last, a numerical example is provided to show the effectiveness of our findings.",

keywords = "Exponential stability, Impulsive coupled systems, Lyapunov function, Mittag-Leffler stability, Networks",

author = "Hui Li and Li, \{Hong Li\} and Kao, \{Yong Gui\}",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",

year = "2020",

month = aug,

day = "11",

doi = "10.1016/j.neucom.2020.03.001",

language = "英语",

volume = "401",

pages = "91--100",

journal = "Neurocomputing",

issn = "0925-2312",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - New stability criterion of fractional-order impulsive coupled non-autonomous systems on networks

AU - Li, Hui

AU - Li, Hong Li

AU - Kao, Yong Gui

PY - 2020/8/11

Y1 - 2020/8/11

N2 - This paper explores stability of new fractional-order impulsive coupled (FOIC) non-autonomous systems on networks. By utilizing graph theory and structuring individual vertex's Lyapunov function, a systematic method is present to construct global Lyapunov functions of FOIC systems. By Lyapunov method, a new inequality as well as the graph theory, several new stable principles are derived based on the strongly connected property. Besides, several more general criteria are obtained by utilizing these principles to the FOIC systems, including uniform stability, exponential stability and Mittag-Leffler stability for a kind of FOIC systems. At last, a numerical example is provided to show the effectiveness of our findings.

AB - This paper explores stability of new fractional-order impulsive coupled (FOIC) non-autonomous systems on networks. By utilizing graph theory and structuring individual vertex's Lyapunov function, a systematic method is present to construct global Lyapunov functions of FOIC systems. By Lyapunov method, a new inequality as well as the graph theory, several new stable principles are derived based on the strongly connected property. Besides, several more general criteria are obtained by utilizing these principles to the FOIC systems, including uniform stability, exponential stability and Mittag-Leffler stability for a kind of FOIC systems. At last, a numerical example is provided to show the effectiveness of our findings.

KW - Exponential stability

KW - Impulsive coupled systems

KW - Lyapunov function

KW - Mittag-Leffler stability

KW - Networks

UR - https://www.scopus.com/pages/publications/85082880884

U2 - 10.1016/j.neucom.2020.03.001

DO - 10.1016/j.neucom.2020.03.001

M3 - 文章

AN - SCOPUS:85082880884

SN - 0925-2312

VL - 401

SP - 91

EP - 100

JO - Neurocomputing

JF - Neurocomputing

ER -

New stability criterion of fractional-order impulsive coupled non-autonomous systems on networks

Abstract

Keywords

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