Mean square finite-time synchronization of impulsive stochastic delay reaction-diffusion systems

Kai Ning Wu; Xiao Zhen Liu; Baoqing Yang; Cheng Chew Lim

doi:10.1016/j.cnsns.2019.104899

Mean square finite-time synchronization of impulsive stochastic delay reaction-diffusion systems

Kai Ning Wu
, Xiao Zhen Liu
, Baoqing Yang^*
, Cheng Chew Lim

^*Corresponding author for this work

School of Astronautics

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

20 Scopus citations

Abstract

This paper considers mean square finite-time synchronization for coupled impulsive stochastic delay reaction-diffusion systems (ISDRDSs). Using Lyapunov–Krasovskii functional method, impulsive comparison lemma and Gronwall's inequality, we obtain sufficient conditions that ensure mean square finite-time synchronization of coupled ISDRDSs. These sufficient conditions reveal the relationship of impulsive coefficients (including impulsive strength and impulsive frequency) and system coefficients (without impulsive effects) for mean square finite-time synchronization. Numerical simulations are carried out to show the effectiveness of our theoretical results.

Original language	English
Article number	104899
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	79
DOIs	https://doi.org/10.1016/j.cnsns.2019.104899
State	Published - Dec 2019

Keywords

Finite-time
Impulsive
Stochastic delay reaction-diffusion systems
Synchronization

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10.1016/j.cnsns.2019.104899

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title = "Mean square finite-time synchronization of impulsive stochastic delay reaction-diffusion systems",

abstract = "This paper considers mean square finite-time synchronization for coupled impulsive stochastic delay reaction-diffusion systems (ISDRDSs). Using Lyapunov–Krasovskii functional method, impulsive comparison lemma and Gronwall's inequality, we obtain sufficient conditions that ensure mean square finite-time synchronization of coupled ISDRDSs. These sufficient conditions reveal the relationship of impulsive coefficients (including impulsive strength and impulsive frequency) and system coefficients (without impulsive effects) for mean square finite-time synchronization. Numerical simulations are carried out to show the effectiveness of our theoretical results.",

keywords = "Finite-time, Impulsive, Stochastic delay reaction-diffusion systems, Synchronization",

author = "Wu, \{Kai Ning\} and Liu, \{Xiao Zhen\} and Baoqing Yang and Lim, \{Cheng Chew\}",

note = "Publisher Copyright: {\textcopyright} 2019",

year = "2019",

month = dec,

doi = "10.1016/j.cnsns.2019.104899",

language = "英语",

volume = "79",

journal = "Communications in Nonlinear Science and Numerical Simulation",

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T1 - Mean square finite-time synchronization of impulsive stochastic delay reaction-diffusion systems

AU - Wu, Kai Ning

AU - Liu, Xiao Zhen

AU - Yang, Baoqing

AU - Lim, Cheng Chew

PY - 2019/12

Y1 - 2019/12

N2 - This paper considers mean square finite-time synchronization for coupled impulsive stochastic delay reaction-diffusion systems (ISDRDSs). Using Lyapunov–Krasovskii functional method, impulsive comparison lemma and Gronwall's inequality, we obtain sufficient conditions that ensure mean square finite-time synchronization of coupled ISDRDSs. These sufficient conditions reveal the relationship of impulsive coefficients (including impulsive strength and impulsive frequency) and system coefficients (without impulsive effects) for mean square finite-time synchronization. Numerical simulations are carried out to show the effectiveness of our theoretical results.

AB - This paper considers mean square finite-time synchronization for coupled impulsive stochastic delay reaction-diffusion systems (ISDRDSs). Using Lyapunov–Krasovskii functional method, impulsive comparison lemma and Gronwall's inequality, we obtain sufficient conditions that ensure mean square finite-time synchronization of coupled ISDRDSs. These sufficient conditions reveal the relationship of impulsive coefficients (including impulsive strength and impulsive frequency) and system coefficients (without impulsive effects) for mean square finite-time synchronization. Numerical simulations are carried out to show the effectiveness of our theoretical results.

KW - Finite-time

KW - Impulsive

KW - Stochastic delay reaction-diffusion systems

KW - Synchronization

UR - https://www.scopus.com/pages/publications/85068371306

U2 - 10.1016/j.cnsns.2019.104899

DO - 10.1016/j.cnsns.2019.104899

M3 - 文章

AN - SCOPUS:85068371306

SN - 1007-5704

VL - 79

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

M1 - 104899

ER -

Mean square finite-time synchronization of impulsive stochastic delay reaction-diffusion systems

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Keywords

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