Stability of coupled impulsive Markovian jump reaction-diffusion systems on networks

Yanbo Li; Yonggui Kao

doi:10.1007/s11424-016-4280-8

Stability of coupled impulsive Markovian jump reaction-diffusion systems on networks

Yanbo Li
, Yonggui Kao^*

^*Corresponding author for this work

Guangxi Teachers Education University
Harbin Institute of Technology Weihai

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

8 Scopus citations

Abstract

This paper is devoted to the investigation of stability for a class of coupled impulsive Markovian jump reaction-diffusion systems on networks (CIMJRDSNs). By using graph theory, a systematic method is provided to construct global Lyapunov functions for the CIMJRDSNs. Based on Lyapunov functions and stochastic analysis method, some novel stability principles associated with the topology property of the networks are established.

Original language	English
Pages (from-to)	1269-1280
Number of pages	12
Journal	Journal of Systems Science and Complexity
Volume	29
Issue number	5
DOIs	https://doi.org/10.1007/s11424-016-4280-8
State	Published - 1 Oct 2016
Externally published	Yes

Keywords

Coupled stochastic reaction-diffusion systems
Markovian switching
impulsive
networks
stability

Access to Document

10.1007/s11424-016-4280-8

Cite this

@article{cce8883f10e347acbc45c27f8d059db5,

title = "Stability of coupled impulsive Markovian jump reaction-diffusion systems on networks",

abstract = "This paper is devoted to the investigation of stability for a class of coupled impulsive Markovian jump reaction-diffusion systems on networks (CIMJRDSNs). By using graph theory, a systematic method is provided to construct global Lyapunov functions for the CIMJRDSNs. Based on Lyapunov functions and stochastic analysis method, some novel stability principles associated with the topology property of the networks are established.",

keywords = "Coupled stochastic reaction-diffusion systems, Markovian switching, impulsive, networks, stability",

author = "Yanbo Li and Yonggui Kao",

note = "Publisher Copyright: {\textcopyright} 2016, Institute of Systems Science, Academy of Mathematics and Systems Science, CAS and Springer-Verlag Berlin Heidelberg.",

year = "2016",

month = oct,

day = "1",

doi = "10.1007/s11424-016-4280-8",

language = "英语",

volume = "29",

pages = "1269--1280",

journal = "Journal of Systems Science and Complexity",

issn = "1009-6124",

publisher = "Springer Science and Business Media, LLC",

number = "5",

}

TY - JOUR

T1 - Stability of coupled impulsive Markovian jump reaction-diffusion systems on networks

AU - Li, Yanbo

AU - Kao, Yonggui

PY - 2016/10/1

Y1 - 2016/10/1

N2 - This paper is devoted to the investigation of stability for a class of coupled impulsive Markovian jump reaction-diffusion systems on networks (CIMJRDSNs). By using graph theory, a systematic method is provided to construct global Lyapunov functions for the CIMJRDSNs. Based on Lyapunov functions and stochastic analysis method, some novel stability principles associated with the topology property of the networks are established.

AB - This paper is devoted to the investigation of stability for a class of coupled impulsive Markovian jump reaction-diffusion systems on networks (CIMJRDSNs). By using graph theory, a systematic method is provided to construct global Lyapunov functions for the CIMJRDSNs. Based on Lyapunov functions and stochastic analysis method, some novel stability principles associated with the topology property of the networks are established.

KW - Coupled stochastic reaction-diffusion systems

KW - Markovian switching

KW - impulsive

KW - networks

KW - stability

UR - https://www.scopus.com/pages/publications/84991389309

U2 - 10.1007/s11424-016-4280-8

DO - 10.1007/s11424-016-4280-8

M3 - 文章

AN - SCOPUS:84991389309

SN - 1009-6124

VL - 29

SP - 1269

EP - 1280

JO - Journal of Systems Science and Complexity

JF - Journal of Systems Science and Complexity

IS - 5

ER -

Stability of coupled impulsive Markovian jump reaction-diffusion systems on networks

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this