Finite time synchronization of stochastic Markovian jumping genetic oscillator networks with time-varying delay and Lévy noise

Shuo Ma; Yanmei Kang

doi:10.1186/s13662-019-2285-z

Finite time synchronization of stochastic Markovian jumping genetic oscillator networks with time-varying delay and Lévy noise

Shuo Ma
, Yanmei Kang

School of Mathematics and Statistics

Xi'an Jiaotong University

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

1 Scopus citations

Abstract

This paper is to investigate the finite-time synchronization of stochastic Markovian jumping genetic oscillator networks with time-varying delay and Lévy noise. At first, we generalize the finite-time stability theorem from the systems driven by Brownian motion to the Markovian jumping systems with Lévy noise. And then, we utilize the stochastic Lyapunov functional method and appropriate control to obtain sufficient conditions for finite-time synchronization. Finally, two numerical examples are presented to verify the effectiveness of the proposed criteria.

Original language	English
Article number	352
Journal	Advances in Difference Equations
Volume	2019
Issue number	1
DOIs	https://doi.org/10.1186/s13662-019-2285-z
State	Published - 1 Dec 2019

Keywords

Finite-time synchronization
Lévy noise
Markovian jumping
Stochastic genetic oscillator networks
Time-varying delay

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10.1186/s13662-019-2285-z

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title = "Finite time synchronization of stochastic Markovian jumping genetic oscillator networks with time-varying delay and L{\'e}vy noise",

abstract = "This paper is to investigate the finite-time synchronization of stochastic Markovian jumping genetic oscillator networks with time-varying delay and L{\'e}vy noise. At first, we generalize the finite-time stability theorem from the systems driven by Brownian motion to the Markovian jumping systems with L{\'e}vy noise. And then, we utilize the stochastic Lyapunov functional method and appropriate control to obtain sufficient conditions for finite-time synchronization. Finally, two numerical examples are presented to verify the effectiveness of the proposed criteria.",

keywords = "Finite-time synchronization, L{\'e}vy noise, Markovian jumping, Stochastic genetic oscillator networks, Time-varying delay",

author = "Shuo Ma and Yanmei Kang",

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N2 - This paper is to investigate the finite-time synchronization of stochastic Markovian jumping genetic oscillator networks with time-varying delay and Lévy noise. At first, we generalize the finite-time stability theorem from the systems driven by Brownian motion to the Markovian jumping systems with Lévy noise. And then, we utilize the stochastic Lyapunov functional method and appropriate control to obtain sufficient conditions for finite-time synchronization. Finally, two numerical examples are presented to verify the effectiveness of the proposed criteria.

AB - This paper is to investigate the finite-time synchronization of stochastic Markovian jumping genetic oscillator networks with time-varying delay and Lévy noise. At first, we generalize the finite-time stability theorem from the systems driven by Brownian motion to the Markovian jumping systems with Lévy noise. And then, we utilize the stochastic Lyapunov functional method and appropriate control to obtain sufficient conditions for finite-time synchronization. Finally, two numerical examples are presented to verify the effectiveness of the proposed criteria.

KW - Finite-time synchronization

KW - Lévy noise

KW - Markovian jumping

KW - Stochastic genetic oscillator networks

KW - Time-varying delay

UR - https://www.scopus.com/pages/publications/85070862929

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DO - 10.1186/s13662-019-2285-z

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SN - 1687-1839

VL - 2019

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

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ER -

Finite time synchronization of stochastic Markovian jumping genetic oscillator networks with time-varying delay and Lévy noise

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Keywords

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